id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
funct-an/9502001 | On the $\Gamma$-equivariant form of the Berezin's quantization of the
upper half plane | Let $\Gamma$ be a fuchsian subgroup of \pslr. In this paper we consider the
$\Gamma$-equivariant form of the Berezin's quantization of the upper half plane
which will correspond to a deformation quantization of the (singular) space
$\Bbb H/\Gamma$. Our main result is that the von Neumann algebra associated to
the $\Gam... | 1995-02-07 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.OA"
] | Florin Radulescu (The University of Iowa) |
funct-an/9501008 | Diagonalization of compact operators in Hilbert modules over C*-algebras
of real rank zero | It is known that the classical Hilbert--Schmidt theorem can be generalized to
the case of compact operators in Hilbert $A$-modules $H_A^*$ over a
$W^*$-algebra of finite type, i.e. compact operators in $H_A^*$ under slight
restrictions can be diagonalized over $A$. We show that if $B$ is a weakly
dense $C^*$-subalgebra... | 1995-01-31 | 2008-02-03 | [
"funct-an",
"math.OA"
] | V.M.Manuilov |
funct-an/9501006 | Toward a general theory of transmutation | A general construction of transmutation operators is developed for
selfadjoint operators in Gelfand triples. Theorems regarding analyticity of
generalized eigenfunctions and Paley-Wiener properties are proved. | 1995-01-25 | 2016-08-31 | [
"funct-an",
"math.FA",
"math.RT"
] | A. Boumenir (K.F.U.P.M, Dhahran, Saudi Arabia, visiting University of
Illinois), and R. Carroll (Mathematics Dept., University of Illinois, Urbana) |
funct-an/9501007 | Lefschetz Numbers and Geometry of Operators in W*-modules | The main goal of the present paper is to generalize the results
of~\cite{TroLNM,TroBoch} in the following way: To be able to define
$K_0(A)\o\C$-valued Lefschetz numbers of the first type of an endomorphism $V$
on a C*-elliptic complex one usually assumes that $V=T_g$ for some
representation $T_g$ of a compact group $G... | 1995-01-24 | 2025-05-08 | [
"funct-an",
"math.OA"
] | Michael Frank (Universit\"at Leipzig, FB Mathematik/Informatik) and
Evgenij V. Troitsky (Moscow State University, Fakulty of Mechanics and
Mathematics) |
funct-an/9501005 | Capacity theory for monotone operators | If $Au=-div(a(x,Du))$ is a monotone operator defined on the Sobolev space
$W^{1,p}(R^n)$, $1<p<+\infty$, with $a(x,0)=0$ for a.e. $x\in R^n$, the
capacity $C_A(E,F)$ relative to $A$ can be defined for every pair $(E,F)$ of
bounded sets in $R^n$ with $E\subset F$. We prove that $C_A(E,F)$ is increasing
and countably sub... | 1995-01-19 | 2008-02-03 | [
"funct-an",
"math.FA"
] | G. Dal Maso and I.V. Skrypnik |
funct-an/9501004 | Lusin's C-property is not valid for functional Hilbert modules | We show that elements of Hilbert $A$-module obtained by completion of the
space of square-integrable functions on a space with measure $X$ taking values
in a $C^*$-algebra $A$ cannot be viewed as $A$-valued functions on $X$ defined
almost everywhere | 1995-01-18 | 2016-08-31 | [
"funct-an",
"math.OA"
] | V.M.Manuilov |
funct-an/9501003 | Estimates of Lebesgue constants via Fourier transforms. Many dimensions | This is an attempt of a comprehensive survey of the results in which
estimates of the norms of linear means of multiple Fourier series, the Lebesgue
constants, are obtained by means of estimating the Fourier transform of a
function generating such a method. Only few proofs are given in order to
illustrate a general ide... | 1995-01-16 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Elijah Liflyand (Bar-Ilan University, Israel) |
funct-an/9501002 | Connection between Different Function Theories in Clifford Analysis | We describe an explicit connection between solutions to equations $Df=0$ (the
Generalized Cauchy-Riemann equation) and $(D+M)f=0$, where operators $D$ and
$M$ commute. The described connection allows to construct a ``function theory''
(the Cauchy theorem, the Cauchy integral, the Taylor and Laurent series etc.)
for sol... | 1995-01-03 | 2016-08-31 | [
"funct-an",
"hep-th",
"math.FA"
] | Vladimir V. Kisil |
funct-an/9501001 | Lie-algebraic discretization of differential equations | A certain representation for the Heisenberg algebra in finite-difference
operators is established. The Lie-algebraic procedure of discretization of
differential equations with isospectral property is proposed. Using
$sl_2$-algebra based approach, (quasi)-exactly-solvable finite-difference
equations are described. It is... | 1995-01-02 | 2009-10-28 | [
"funct-an",
"hep-lat",
"hep-th",
"math.FA"
] | Yuri Smirnov and Alexander Turbiner |
gr-qc/9512050 | Exact Gravitational Shock Wave Solution of Higher Order Theories | We find an {\it exact} pp--gravitational wave solution of the fourth order
gravity field equations. Outside the (delta--like) source this {\it not} a
vacuum solution of General Relativity. It represents the contribution of the
massive, $m=(-\beta)^{-1/2}$, spin--two field associated to the Ricci squared
term in the gra... | 1995-12-30 | 2011-09-09 | [
"gr-qc",
"astro-ph",
"hep-ph",
"hep-th"
] | Manuela Campanelli (U. Konstanz) and Carlos O. Lousto (U. Utah) |
gr-qc/9512049 | Quantum Origin of Noise and Fluctuations in Cosmology | We address two basic issues in the theory of galaxy formation from
fluctuations of quantum fields: 1) the nature and origin of noise and
fluctuations and 2) the conditions for using a classical stochastic equation
for their description. On the first issue, we derive the influence functional
for a $\lambda \phi^4 $ fiel... | 1995-12-29 | 2007-05-23 | [
"gr-qc"
] | B. L. Hu, Juan Pablo Paz and Yuhong Zhang |
gr-qc/9512048 | On the oscillation spectra of ultracompact stars: An extensive survey of
gravitational-wave modes | An extensive survey of gravitational-wave modes for uniform density stars is
presented. The study covers stars ranging in compactness from $R/M=100$ to the
limit of stability in general relativity: $R/M = 9/4$. We establish that polar
and axial gravitational-wave modes exist for all these stellar models.
Moreover, ther... | 1995-12-29 | 2009-10-28 | [
"gr-qc",
"astro-ph"
] | Nils Andersson, Yasufumi Kojima and Kostas D. Kokkotas |
gr-qc/9512045 | Dynamics of Gravitating Magnetic Monopoles | According to previous work on magnetic monopoles, static regular solutions
are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is
larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the
Planck mass. In order to understand the properties of monopoles for
$\eta>\eta_{{\rm cr}}$,... | 1995-12-28 | 2011-09-09 | [
"gr-qc",
"astro-ph",
"hep-th"
] | Nobuyuki Sakai |
gr-qc/9512046 | Dynamic Monopoles and Spacetime Structure | According to previous work on magnetic monopoles, static regular solutions
are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is
larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the
Planck mass. In order to understand the properties of monopoles for
$\eta>\eta_{{\rm cr}}$,... | 1995-12-28 | 2008-02-03 | [
"gr-qc",
"astro-ph",
"hep-th"
] | Nobuyuki Sakai |
gr-qc/9512047 | Non-minimal coupling, boundary terms and renormalization of the
Einstein-Hilbert action | A consistent variational procedure applied to the gravitational action
requires according to Gibbons and Hawking a certain balance between the volume
and boundary parts of the action. We consider the problem of preserving this
balance in the quantum effective action for the matter non-minimally coupled to
metric. It is... | 1995-12-28 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | A.O. Barvinsky and S.N. Solodukhin |
gr-qc/9512044 | Hawking Radiation Entropy and Horizon Divergences | We review the problem of divergences in one--loop thermodynamical quantities
for matter fields in thermal equilibrium on a black hole background. We discuss
a number of results obtained for various thermodynamical quantities. Then we
discuss the ansatz called ``literal interpretation" of zeroth law of black hole
mechan... | 1995-12-28 | 2009-10-28 | [
"gr-qc"
] | F.Belgiorno and M.Martellini |
gr-qc/9512043 | The geometry of quantum spin networks | The discrete picture of geometry arising from the loop representation of
quantum gravity can be extended by a quantum deformation. The operators for
area and volume defined in the q-deformation of the theory are partly
diagonalized. The eigenstates are expressed in terms of q-deformed spin
networks. The q-deformation b... | 1995-12-27 | 2009-10-28 | [
"gr-qc"
] | Roumen Borissov (Temple University), Seth Major (CGPG), and Lee Smolin
(CGPG) |
gr-qc/9512042 | Poincare Sections of Hamiltonian Systems | A set of Maplev R.3 software routines, for plotting 2D/3D projections of
Poincar\'e surfaces-of-section of Hamiltonian dynamical systems, is presented.
The package consists of a plotting-command plus a set of facility-commands for
a quick setup of the Hamilton equations of motion, initial conditions for
numerical exper... | 1995-12-26 | 2009-10-28 | [
"gr-qc",
"astro-ph"
] | E.S.Cheb-Terrab and H.P. de Oliveira (Symb. Comp. Group, DFT-UERJ,
Brazil) |
gr-qc/9512041 | Skein spaces and spin structures | This paper relates skein spaces based on the Kauffman bracket and spin
structures. A spin structure on an oriented 3-manifold provides an isomorphism
between the skein space for parameter A and the skein space for parameter -A.
There is an application to Penrose's binor calculus, which is related to the
tensor calcul... | 1995-12-22 | 2009-10-28 | [
"gr-qc",
"math.QA",
"q-alg"
] | John W. Barrett |
gr-qc/9512040 | Quantizing Regge calculus | A discretized version of canonical gravity in (3+1)-d introduced in a
previous paper is further developed, introducing the Liouville form and the
Poisson brackets, and studying them in detail in an explicit parametrization
that shows the nature of the variables when the second class constraints are
imposed. It is then ... | 1995-12-21 | 2009-10-28 | [
"gr-qc"
] | Giorgio Immirzi |
gr-qc/9512039 | The Goldberg--Kerr Approach to Lorentz Covariant Gravity | The approach to asymptotic electromagnetic fields introduced by Goldberg and
Kerr is used to study various aspects of Lorentz Covariant Gravity. Retarded
multipole moments of the source, the central objects of this study, are
defined, and a sequence of conservation equations for these are derived. These
equations are u... | 1995-12-21 | 2007-05-23 | [
"gr-qc"
] | Brien C. Nolan |
gr-qc/9512038 | A Semi-Analytical Method for the Evaluation of the Power Spectrum of a
Rotating Observer | In this letter we propose a semi-analitical method of evaluation of the power
spectrum of a circular moving Unruh-type detector using the method of residue
and compare the spectrum with the already known result in the relativistic
limit. | 1995-12-20 | 2007-05-23 | [
"gr-qc"
] | Daniel Mueller |
gr-qc/9512037 | A new approach to quantization of gravity. 2+1-dimensional example | In this paper the quantization of the 2$+$1-dimensional gravity couplet to
the massless Dirac field is carried out. The problem is solved by the
application of the new Dynamic Quantization Method [1,2]. It is well-known that
in general covariant theories such as gravitation, a Hamiltonian is any linear
combination of t... | 1995-12-20 | 2007-05-23 | [
"gr-qc"
] | S.N. Vergeles |
gr-qc/9512036 | On the constraint algebra of quantum gravity in the loop representation | Although an important issue in canonical quantization, the problem of
representing the constraint algebra in the loop representation of quantum
gravity has received little attention. The only explicit computation was
performed by Gambini, Garat and Pullin for a formal point-splitting
regularization of the diffeomorphis... | 1995-12-20 | 2008-11-26 | [
"gr-qc"
] | Bernd Bruegmann |
gr-qc/9512035 | Quantum-conformal Field theory | A theoretical study is made of conformal factors in certain types of physical
theories based on classical differential geometry. Analysis of quantum versions
of Weyl's theory suggest that similar field equations should be available in
four, five and more dimensions. Various conformal factors are associated with
the wav... | 1995-12-19 | 2007-05-23 | [
"gr-qc",
"quant-ph"
] | Daniel C. Galehouse (University of Akron) |
gr-qc/9512034 | Quantum Geodesics | Classical methods of differential geometry are used to construct equations of
motion for particles in quantum, electrodynamic and gravitational fields. For a
five dimensional geometrical system, the equivalence principle can be extended.
Local transformations generate the effects of electromagnetic and quantum
fields. ... | 1995-12-19 | 2007-05-23 | [
"gr-qc",
"quant-ph"
] | Daniel C. Galehouse (University of Akron) |
gr-qc/9512032 | Semiclassical collapse of a sphere of dust | The semiclassical collapse of a homogeneous sphere of dust is studied. After
identifying the independent dynamical variables, the system is canonically
quantised and coupled equations describing matter (dust) and gravitation are
obtained. The conditions for the validity of the adiabatic (Born--Oppenheimer)
and semiclas... | 1995-12-18 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | Roberto Casadio and Giovanni Venturi (Department of Physics University
of Bologna and Istituto Nazionale di Fisica Nucleare, Sezione di Bologna) |
gr-qc/9512033 | Coleman-Weinberg SO(10) GUT Theories as Inflationary Models | The flat-space limit of the one-loop effective potential for SO(10) GUT
theories in spatially flat Friedmann-Robertson-Walker cosmologies is applied to
study the dynamics of the early universe. The numerical integration of the
corresponding field equations shows that, for such grand unified theories, a
sufficiently lon... | 1995-12-18 | 2011-08-11 | [
"gr-qc"
] | Giampiero Esposito, Gennaro Miele, and Pietro Santorelli |
gr-qc/9512031 | Quantum Cosmology and the Constants of Nature | In models where the constants of Nature can take more than one set of values,
the cosmological wave function $\psi$ describes an ensemble of universes with
different values of the constants. The probability distribution for the
constants can be determined with the aid of the `principle of mediocrity' which
asserts that... | 1995-12-15 | 2007-05-23 | [
"gr-qc",
"astro-ph"
] | Alexander Vilenkin |
gr-qc/9512030 | Nature of singularity in Einstein-massless scalar theory | We study the static and spherically symmetric exact solution of the
Einstein-massless scalar equations given by Janis, Newman and Winicour. We find
that this solution satisfies the weak energy condition and has strong globally
naked singularity. | 1995-12-15 | 2009-10-28 | [
"gr-qc",
"astro-ph",
"hep-th"
] | K. S. Virbhadra, S. Jhingan and P. S. Joshi (Tata Institute of
Fundamental Research, India) |
gr-qc/9512028 | A Fundamental Theorem of Space-times | The fundamental theorem of submanifolds is adapted to space-times. It is
shown that the integrability conditions for the existence of submanifolds of a
pseudo-Euclidean space contain the Einstein and Yang-Mills equations. | 1995-12-14 | 2016-08-15 | [
"gr-qc"
] | E. M. Monte and M.D. Maia (Universidade de Bras\'ilia) |
gr-qc/9512029 | Perfect-fluid cylinders and walls - sources for the Levi-Civita
space-time | The diagonal metric tensor whose components are functions of one spatial
coordinate is considered. Einstein's field equations for a perfect-fluid source
are reduced to quadratures once a generating function, equal to the product of
two of the metric components, is chosen. The solutions are either static fluid
cylinders... | 1995-12-14 | 2009-10-28 | [
"gr-qc"
] | Thomas G. Philbin |
gr-qc/9512025 | Probing the gravitational geon | The Brill-Hartle gravitational geon construct as a spherical shell of small
amplitude, high frequency gravitational waves is reviewed and critically
analyzed. The Regge-Wheeler formalism is used to represent gravitational wave
perturbations of the spherical background as a superposition of tensor
spherical harmonics an... | 1995-12-12 | 2010-11-19 | [
"gr-qc"
] | F.I. Cooperstock, V. Faraoni and G.P. Perry (University of Victoria) |
gr-qc/9512027 | Electromagnetism and Gravitation | The classical concept of "mass density" is not fundamental to the quantum
theory of matter. Therefore, mass density cannot be the source of gravitation.
Here, we treat electromagnetic energy, momentum, and stress as its source. The
resulting theory predicts that the gravitational potential near any charged
elementary p... | 1995-12-12 | 2008-02-03 | [
"gr-qc"
] | Kenneth Dalton |
gr-qc/9512026 | Time evolution and observables in constrained systems | The discussion is limited to first-class parametrized systems, where the
definition of time evolution and observables is not trivial, and to finite
dimensional systems in order that technicalities do not obscure the conceptual
framework. The existence of reasonable true, or physical, degrees of freedom is
rigorously de... | 1995-12-12 | 2009-10-28 | [
"gr-qc"
] | Petr Hajicek |
gr-qc/9512022 | Inequivalence of First and Second Order Formulations in D=2 Gravity
Models | The usual equivalence between the Palatini and metric (or affinity and
vielbein) formulations of Einstein theory fails in two spacetime dimensions for
its "Kaluza--Klein" reduced (as well as for its standard) version. Among the
differences is the necessary vanishing of the cosmological constant in the
first order forms... | 1995-12-11 | 2009-11-19 | [
"gr-qc"
] | S. Deser (Brandeis University) |
gr-qc/9512023 | Quasiclassical Dynamics in a Closed Quantum System | We consider Gell-Mann and Hartle's consistent histories formulation of
quantum cosmology in the interpretation in which one history, chosen randomly
according to the decoherence functional probabilities, is realised from each
consistent set. We show that in this interpretation, if one assumes that an
observed quasiclas... | 1995-12-11 | 2009-10-28 | [
"gr-qc",
"quant-ph"
] | Adrian Kent (DAMTP, University of Cambridge) |
gr-qc/9512024 | Introduction to the Effective Field Theory Description of Gravity | This is a pedagogical introduction to the treatment of general relativity as
a quantum effective field theory. Gravity fits nicely into the effective field
theory description and forms a good quantum theory at ordinary energies. | 1995-12-11 | 2007-05-23 | [
"gr-qc",
"hep-ph",
"hep-th"
] | John F. Donoghue (Univ. of Massachusetts, Amherst) |
gr-qc/9512021 | Gravitating Chern-Simons vortices | The construction of self-dual vortex solutions to the Chern-Simons-Higgs
model (with a suitable eighth-order potential) coupled to Einstein gravity in
(2 + 1) dimensions is reconsidered. We show that the self-duality condition may
be derived from the sole assumption $g_{00} = 1$. Next, we derive a family of
exact, doub... | 1995-12-11 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | G\'erard Cl\'ement |
gr-qc/9512019 | Spherically symmetric solutions of gravitation equations on the
background with spatial sections of constant curvature | We investigate the vacuum and charged spherically symmetric static solutions
of the Einstein equations on cosmological background. The background metric is
not flat, but curved, with constant - curvature spatial sections. Both vacuum
and charged cases contain two branches. The first branches transform into the
Schwarzs... | 1995-12-09 | 2007-05-23 | [
"gr-qc"
] | M.N.Tentyukov (Joint Institute for Nuclear Research,Dubna) |
gr-qc/9512020 | Quantum deformation of quantum gravity | We describe a deformation of the observable algebra of quantum gravity in
which the loop algebra is extended to framed loops. This allows an alternative
nonperturbative quantization which is suitable for describing a phase of
quantum gravity characterized by states which are normalizable in the measure
of Chern-Simons ... | 1995-12-09 | 2009-09-25 | [
"gr-qc"
] | Seth Major, Lee Smolin |
gr-qc/9512018 | Radiation-reaction-induced evolution of circular orbits of particles
around Kerr Black Holes | It is demonstrated that, in the adiabatic approximation, non-Equatorial
circular orbits of particles in the Kerr metric (i.e. orbits of constant
Boyer-Lindquist radius) remain circular under the influence of gravitational
radiation reaction. A brief discussion is given of conditions for breakdown of
adiabaticity and of... | 1995-12-08 | 2009-10-28 | [
"gr-qc"
] | Daniel Kennefick (Caltech) and Amos Ori (Technion, Israel) |
gr-qc/9512017 | A semiclassical interpretation of the topological solutions for
canonical quantum gravity | Ashtekar's formulation for canonical quantum gravity is known to possess the
topological solutions which have their supports only on the moduli space $\CN$
of flat $SL(2,C)$ connections. We show that each point on the moduli space
$\CN$ corresponds to a geometric structure, or more precisely the Lorentz group
part of a... | 1995-12-08 | 2011-09-09 | [
"gr-qc"
] | Kiyoshi Ezawa |
gr-qc/9512015 | Possible test of local Lorentz invariance from $\tau$ decays | We analyze the possibility of testing local Lorentz invariance from the
observation of tau decays. Future prospects of probing distances below the
electroweak characteristic scale are discussed. | 1995-12-07 | 2008-02-03 | [
"gr-qc"
] | L. Anchordoqui, M. T. Dova, D. Gomez Dumm and P. Lacentre |
gr-qc/9512014 | Kolmogorov Algorithmic Complexity and its Probability Interpretation in
Quantum Gravity | The quantum gravity has great difficulties with application of the
probability notion. In given article this problem is analyzed according to
algorithmic viewpoint. According to A.N. Kolmogorov, the probability notion can
be connected with algorithmic complexity of given object. The paper proposes an
interpretation of ... | 1995-12-07 | 2009-10-28 | [
"gr-qc"
] | V.D. Dzhunushaliev |
gr-qc/9512016 | The Static Gravitational Field of a Spherically Symmetric Body | We continue here the exam \cite{LuMa} of a theory of gravity that satisfies
the Einstein Equivalence Principle (EEP) for any kind of matter/energy, except
for the gravitational energy. This is part of a research program that intends
to re-examine the standard Feynman-Deser approach of field theoretical
derivation of Ei... | 1995-12-07 | 2007-05-23 | [
"gr-qc"
] | M. Novello, L. R. Freitas and V. A. De Lorenci |
gr-qc/9512012 | Three Self-Consistent Kinematics in (1+1)D Special Relativity | When introducing special relativity, an elegant connection to familiar rules
governing Galilean constant acceleration can be made, by describing first the
discovery at high speeds that the clocks (as well as odometers) of different
travelers may proceed at different rates. One may then show how to parameterize
any give... | 1995-12-06 | 2009-09-25 | [
"gr-qc"
] | P. Fraundorf (Physics and Astronomy/CME, U. Missouri-StL) |
gr-qc/9512013 | Quasi-local energy-momentum and two-surface characterization of the
pp-wave spacetimes | In the present paper the determination of the {\it pp}-wave metric form the
geometry of certain spacelike two-surfaces is considered. It has been shown
that the vanishing of the Dougan--Mason quasi-local mass $m_{\$}$, associated
with the smooth boundary $\$:=\partial\Sigma\approx S^2$ of a spacelike
hypersurface $\Sig... | 1995-12-06 | 2009-10-28 | [
"gr-qc"
] | Laszlo B Szabados |
gr-qc/9512011 | On the extended loop calculus | Some features of extended loops are considered. In particular, the behaviour
under diffeomorphism transformations of the wavefunctions with support on the
extended loop space are studied. The basis of a method to obtain analytical
expressions of diffeomorphism invariants via extended loops are settled.
Applications to ... | 1995-12-05 | 2007-05-23 | [
"gr-qc"
] | Jorge Griego |
gr-qc/9512010 | Self-Similar Collapse of Conformally Coupled Scalar Fields | A massless scalar field minimally coupled to the gravitational field in a
simplified spherical symmetry is discussed. It is shown that, in this case, the
solution found by Roberts, describing a scalar field collapse, is in fact the
most general one. Taking that solution as departure point, a study of the
gravitational ... | 1995-12-05 | 2009-10-28 | [
"gr-qc"
] | H. P. de Oliveira and E.S. Cheb-Terrab, DFT-UERJ, Brazil |
gr-qc/9512009 | Testing a Simplified Version of Einstein's Equations for Numerical
Relativity | Solving dynamical problems in general relativity requires the full machinery
of numerical relativity. Wilson has proposed a simpler but approximate scheme
for systems near equilibrium, like binary neutron stars. We test the scheme on
isolated, rapidly rotating, relativistic stars. Since these objects are in
equilibrium... | 1995-12-05 | 2009-10-28 | [
"gr-qc"
] | Gregory B. Cook, Stuart L. Shapiro, Saul A. Teukolsky |
gr-qc/9512008 | Einstein's Energy-Free Gravitational Field | We show that Einstein's gravitational field has zero energy, momentum, and
stress. This conclusion follows directly from the gravitational field
equations, in conjunction with the differential law of energy-momentum
conservation $ T^{\mu\nu}_{;\nu} = 0 $. Einstein rejected this conservation law
despite the fact that it... | 1995-12-04 | 2008-02-03 | [
"gr-qc"
] | Kenneth Dalton |
gr-qc/9512003 | Numerical Investigation of Singularities | Numerical exploration of the properties of singularities could, in principle,
yield detailed understanding of their nature in physically realistic cases.
Examples of numerical investigations into the formation of naked singularities,
critical behavior in collapse, passage through the Cauchy horizon, chaos of the
Mixmas... | 1995-12-01 | 2007-05-23 | [
"gr-qc"
] | Beverly K. Berger |
gr-qc/9512004 | Numerical Investigation of Cosmological Singularities | We describe a numerical approach to address the BKL conjecture that the
generic cosmological singularity is locally Mixmaster-like. We consider
application of a symplectic PDE solver to three models of increasing
complexity--spatially homogeneous (vacuum) Mixmaster cosmologies where we
compare the symplectic ODE solver... | 1995-12-01 | 2007-05-23 | [
"gr-qc"
] | Beverly K. Berger |
gr-qc/9512001 | Low-Energy Interaction of a Cosmic String and an Extreme Dilatonic Black
Hole | The interaction of a cosmic string and a maximally charged dilatonic black
hole is studied in the low-velocity limit. In particular, the string-black hole
scattering at a low velocity is investigated. | 1995-12-01 | 2014-11-17 | [
"gr-qc"
] | Kiyoshi Shiraishi (Akita Junior College) |
gr-qc/9512002 | Hypersurfaces of Five Dimensional Space-times | It is shown that a space-time hypersurface of a 5-dimensional Ricci-flat
space-time has its energy momentum tensor algebrically related to its extrinsic
curvature and to the Riemann curvature of the embedding space. It is also seen
that the Einstein-Maxwell field does not arise naturally from this geometry, so
that a K... | 1995-12-01 | 2008-02-03 | [
"gr-qc"
] | M.D. Maia |
gr-qc/9512005 | Comment on the chaotic singularity in some magnetic Bianchi VI$_0$
cosmologies | Description of the magnetic Bianchi VI$_0$ cosmologies of LeBlanc, Kerr, and
Wainwright in the formalisms both of Belinskii, Khalatnikov, and Lifshitz, and
of Misner allows qualitative understanding of the Mixmaster-like singularity in
those models. | 1995-12-01 | 2009-10-28 | [
"gr-qc"
] | Beverly K. Berger |
gr-qc/9511082 | Radiation-Dominated Quantum Friedmann Models | Radiation-filled Friedmann-Robertson-Walker universes are quantized according
to the Arnowitt-Deser-Misner formalism in the conformal-time gauge. Unlike
previous treatments of this problem, here both closed and open models are
studied, only square-integrable wave functions are allowed, and the boundary
conditions to en... | 1995-11-30 | 2015-06-25 | [
"gr-qc"
] | Nivaldo A. Lemos (Center for Theoretical Physics, MIT) |
gr-qc/9511080 | Making quantum gravity calculable | We describe recent attempts at discretizing canonical quantum gravity in four
dimensions in terms of a connection formulation. This includes a general
introduction, a comparison between the real and complex connection approach,
and a discussion of some open problems. (Contribution to the proceedings of the
workshop ``R... | 1995-11-30 | 2011-04-15 | [
"gr-qc"
] | R. Loll (INFN, Florence & Potsdam, Max-Planck Inst.) |
gr-qc/9511083 | A Generalized Wick Transform for Gravity | Using a key observation due to Thiemann, a generalized Wick transform is
introduced to map the constraint functionals of Riemannian general relativity
to those of the Lorentzian theory, including matter sources. This opens up a
new avenue within ``connection-dynamics'' where one can work, throughout, only
with real var... | 1995-11-30 | 2010-01-06 | [
"gr-qc"
] | Abhay Ashtekar |
gr-qc/9511081 | Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal
Coverings | A set of simple rules for constructing the maximal (e.g. analytic) extensions
for any metric with a Killing field in an (effectively) two-dimensional
spacetime is formulated. The application of these rules is extremely
straightforward, as is demonstrated at various examples and illustrated with
numerous figures. Despit... | 1995-11-30 | 2010-04-06 | [
"gr-qc",
"hep-th"
] | T. Kloesch and T. Strobl |
gr-qc/9511079 | Statistical Mechanics and Quantum Cosmology | Statistical mechanical concepts and processes such as decoherence,
correlation, and dissipation can prove to be of basic importance to
understanding some fundamental issues of quantum cosmology and theoretical
physics such as the choice of initial states, quantum to classical transition
and the emergence of time. Here ... | 1995-11-29 | 2007-05-23 | [
"gr-qc"
] | B. L. Hu |
gr-qc/9512006 | How to measure spatial distances? | The use of time--like geodesics to measure temporal distances is better
justified than the use of space--like geodesics for a measurement of spatial
distances. We give examples where a ''spatial distance'' cannot be
appropriately determined by the length of a space--like geodesic. | 1995-11-29 | 2009-10-28 | [
"gr-qc"
] | Hans - Juergen Schmidt |
gr-qc/9512007 | Consequences of the noncompactness of the Lorentz group | The following four statements have been proven decades ago already, but they
continue to induce a strange feeling:
- All curvature invariants of a gravitational wave vanish - in spite of the
fact that it represents a nonflat spacetime.
- The eigennullframe components of the curvature tensor (the Cartan
''scalars'')... | 1995-11-29 | 2007-05-23 | [
"gr-qc"
] | Hans - Juergen Schmidt |
gr-qc/9511077 | Semiclassical Gravity and Mesoscopic Physics | Developments in theoretical cosmology in the recent decades show a close
connection with particle physics, quantum gravity and unified theories. Answers
or hints to many fundamental questions in cosmology like the homogeneity and
isotropy of the Universe, the sources of structure formation and entropy
generation, and t... | 1995-11-28 | 2007-05-23 | [
"gr-qc",
"cond-mat"
] | B. L. Hu |
gr-qc/9511076 | Cosmology as `Condensed Matter' Physics | We note that in general there exist two basic aspects in any branch of
physics, including cosmology - one dealing with the attributes of basic
constituents and forces of nature, the other dealing with how structures arise
from them and how they evolve. Current research in quantum and superstring
cosmology is directed m... | 1995-11-28 | 2007-05-23 | [
"gr-qc",
"cond-mat"
] | B. L. Hu |
gr-qc/9511075 | Correlation Dynamics of Quantum Fields and Black Hole Information
Paradox | In recent years a statistical mechanics description of particles, fields and
spacetime based on the concept of quantum open systems and the influence
functional formalism has been introduced. It reproduces in full the established
theory of quantum fields in curved spacetime and contains also a microscopic
description o... | 1995-11-28 | 2016-08-31 | [
"gr-qc",
"hep-th"
] | B. L. Hu |
gr-qc/9511078 | Stochastic semiclassical equations for weakly inhomogeneous cosmologies | Semiclassical Einstein-Langevin equations for arbitrary small metric
perturbations conformally coupled to a massless quantum scalar field in a
spatially flat cosmological background are derived. Use is made of the fact
that for this problem the in-in or closed time path effective action is simply
related to the Feynman... | 1995-11-28 | 2014-11-17 | [
"gr-qc",
"astro-ph",
"hep-th"
] | Antonio Campos (Universitat Autonoma de Barcelona) and Enric Verdaguer
(Universitat de Barcelona) |
gr-qc/9511071 | Expanding Spherically Symmetric Models without Shear | The integrability properties of the field equation $L_{xx} = F(x)L^2$ of a
spherically symmetric shear--free fluid are investigated. A first integral,
subject to an integrability condition on $F(x)$, is found, giving a new class
of solutions which contains the solutions of Stephani (1983) and Srivastava
(1987) as speci... | 1995-11-27 | 2009-10-28 | [
"gr-qc"
] | Sunil D Maharaj, Peter GL Leach and Roy Maartens |
gr-qc/9511070 | Vacuum Spacetimes with Future Trapped Surfaces | In this article we show that one can construct initial data for the Einstein
equations which satisfy the vacuum constraints. This initial data is defined on
a manifold with topology $R^3$ with a regular center and is asymptotically
flat. Further, this initial data will contain an annular region which is
foliated by two... | 1995-11-27 | 2009-10-28 | [
"gr-qc"
] | R. Beig (Institut f\"ur Theoretische Physik, Universit\"at Wien) and
N. \'O Murchadha (Physics Department University College Cork Cork, Ireland) |
gr-qc/9511073 | Universality of Einstein's General Relativity | Among relativistic theories of gravitation the closest ones to general
relativity are the scalar-tensor ones and these with Lagrangians being any
function f(R) of the curvature scalar. A complete chart of relationships
between these theories and general relativity can be delineated. These theories
are mathematically (l... | 1995-11-27 | 2007-05-23 | [
"gr-qc"
] | Leszek M. Sokolowski |
gr-qc/9511072 | Cosmologies with Two-Dimensional Inhomogeneity | We present a new generating algorithm to construct exact non static solutions
of the Einstein field equations with two-dimensional inhomogeneity. Infinite
dimensional families of $G_1$ inhomogeneous solutions with a self interacting
scalar field, or alternatively with perfect fluid, can be constructed using
this algori... | 1995-11-27 | 2016-08-15 | [
"gr-qc"
] | A. Feinstein, J. Ib\'a\~nez and Ruth Lazkoz (Dpto. F\'isica Te\'orica,
Universidad del Pa\'is Vasco, Bilbao, Spain) |
gr-qc/9511074 | Statistics of the Microwave Background Anisotropies Caused by
Cosmological Perturbations of Quantum-Mechanical Origin | The genuine quantum gravity effects can already be around us. It is likely
that the observed large-angular-scale anisotropies in the microwave background
radiation are induced by cosmological perturbations of quantum-mechanical
origin. Such perturbations are placed in squeezed vacuum quantum states and,
hence, are char... | 1995-11-27 | 2007-05-23 | [
"gr-qc",
"astro-ph",
"hep-ph"
] | L. P. Grishchuk |
gr-qc/9511069 | The Problem of Classical Limit in Quantum Cosmology: The effective
action language | The tool of functional averaging over some ``large'' diffeomorphisms is used
to describe quantum systems with constraints, in particular quantum cosmology,
in the language of quantum Effective Action. Simple toy models demonstrate a
supposedly general phenomenon: the presence of a constraint results in
``quantum repel'... | 1995-11-27 | 2009-10-28 | [
"gr-qc"
] | B.L.Altshuler, A.M.Boyarsky and A.Yu.Neronov |
gr-qc/9511068 | Hyperfast Interstellar Travel in General Relativity | The problem is discussed of whether a traveller can reach a remote object and
return back sooner than a photon would when taken into account that the
traveller can partly control the geometry of his world. It is argued that under
some reasonable assumptions in globally hyperbolic spacetimes the traveller
cannot hasten ... | 1995-11-25 | 2009-10-28 | [
"gr-qc"
] | S. V. Krasnikov |
gr-qc/9511066 | Scalar Field Inhomogeneous Cosmologies | Some exact solutions for the Einstein field equations corresponding to
inhomogeneous $G_2$ cosmologies with an exponential-potential scalar field
which generalize solutions obtained previously are considered. Several
particular cases are studied and the properties related to generalized
inflation and asymptotic behavio... | 1995-11-24 | 2016-08-15 | [
"gr-qc"
] | A. Feinstein, J. Ib\'a\~nez and P. Labraga (Dpto. F\'isica Te\'orica,
Universidad del Pa\'is Vasco, Bilbao, Spain) |
gr-qc/9511067 | Density perturbations in Kaluza--Klein theories during a de Sitter phase | In the context of Kaluza-Klein theories, we consider a model in which the
universe is filled with a perfect fluid described by a barotropic equation of
state. An analysis of density perturbations employing the synchronous gauge
shows that there are cases where these perturbations have an exponential growth
during a de ... | 1995-11-24 | 2016-08-31 | [
"gr-qc"
] | Julio Fabris and Mairi Sakellariadou |
gr-qc/9511064 | Spatially self-similar locally rotationally symmetric perfect fluid
models | Einstein's field equations for spatially self-similar locally rotationally
symmetric perfect fluid models are investigated. The field equations are
rewritten as a first order system of autonomous ordinary differential
equations. Dimensionless variables are chosen in such a way that the number of
equations in the couple... | 1995-11-24 | 2009-10-28 | [
"gr-qc"
] | Ulf Nilsson, Claes Uggla |
gr-qc/9511065 | Particle Creation in the Bell-Szekeres Spacetime | The quantization of a real massless scalar field in a spacetime produced in a
collision of two electromagnetic plane waves with constant wave fronts is
considered. The background geometry in the interaction region, the
Bell-Szekeres solution, is locally isometric to the conformally flat
Bertotti-Robinson universe fille... | 1995-11-24 | 2016-08-15 | [
"gr-qc"
] | A. Feinstein, M. A. P\'erez Sebasti\'an (Dpto. F\'isica Te\'orica,
Univ. Pa\'is Vasco, Spain) |
gr-qc/9511063 | A Specimen of Theory Construction from Quantum Gravity | I describe the history of my attempts to arrive at a discrete substratum
underlying the spacetime manifold, culminating in the hypothesis that the basic
structure has the form of a partial-order (i.e. that it is a causal set). | 1995-11-23 | 2009-09-25 | [
"gr-qc",
"hep-th"
] | Rafael D. Sorkin (Syracuse University and UNAM) |
gr-qc/9511062 | Effect of gravitational radiation reaction on nonequatorial orbits
around a Kerr black hole | The effect of gravitational radiation reaction on orbits around a spinning
black hole is analyzed. Such orbits possess three constants of motion: $\iota$,
$e$, and $a$, which correspond, in the Newtonian limit of the orbit being an
ellipse, to the inclination angle of the orbital plane to the hole's equatorial
plane, t... | 1995-11-22 | 2011-09-09 | [
"gr-qc"
] | Fintan D. Ryan |
gr-qc/9511061 | Open-Flux Solutions to the Constraints for Plane Gravity Waves | The metric for plane gravitational waves is quantized using the Ashtekar
field variables. The z axis (direction of travel of the waves) is taken to be
the entire real line. Solutions to the constraints are proposed; they involve
open-ended flux lines running along the entire z axis. These solutions are
annihilated by t... | 1995-11-22 | 2011-09-09 | [
"gr-qc"
] | Donald E. Neville |
gr-qc/9511060 | The Symplectic Structure of General Relativity in the Double-Null (2+2)
Formalism | In the (2+2) formulation of general relativity spacetime is foliated by a
two-parameter family of spacelike 2-surfaces (instead of the more usual
one-parameter family of spacelike 3-surfaces). In a partially gauge-fixed
setting (double-null gauge), I write down the symplectic structure of general
relativity in terms of... | 1995-11-22 | 2009-09-25 | [
"gr-qc"
] | Richard J. Epp |
gr-qc/9511058 | On Regularization Scheme Dependence of Predictions in Inflationary
Cosmology | We show that there exists a large class of regularization schemes for
probabilistic predictions in the theory of a self-reproducing inflationary
univere, all of which eliminate the apparent dependence on the time
reparametrization. However, all these schemes lead to different answers for
relative probabilities of findi... | 1995-11-22 | 2009-09-29 | [
"gr-qc",
"astro-ph",
"hep-th"
] | Andrei Linde and Arthur Mezhlumian |
gr-qc/9511059 | Consistent Evolution with Different Time-Slicings in Quantum Gravity | Rovelli's `` quantum mechanics without time'' motivates an intrinsically
time-slicing independent picture of reduced phase space quantum gravity, which
may be described as ``quantization after evolution''. Sufficient criteria for
carrying out quantization after evolution are developed in terms of a general
concept of t... | 1995-11-22 | 2009-10-28 | [
"gr-qc"
] | R. Cosgrove |
gr-qc/9511056 | On the Algebraic Structure of Second Order Symmetric Tensors in
5-Dimensional Space-times | A new approach to the algebraic classification of second order symmetric
tensors in 5-dimensional space-times is presented. The possible Segre types for
a symmetric two-tensor are found. A set of canonical forms for each Segre type
is obtained. A theorem which collects together some basic results on the
algebraic struc... | 1995-11-21 | 2009-10-28 | [
"gr-qc",
"astro-ph"
] | G.S. Hall, M.J. Reboucas, J. Santos, A.F.F. Teixeira |
gr-qc/9511057 | Reality conditions inducing transforms for quantum gauge field theory
and quantum gravity | For various theories, in particular gauge field theories, the algebraic form
of the Hamiltonian simplifies considerably if one writes it in terms of certain
complex variables. Also general relativity when written in the new canonical
variables introduced by Ashtekar belongs to that category, the Hamiltonian
being repla... | 1995-11-21 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | Thomas Thiemann |
gr-qc/9511055 | Primordial Nucleosynthesis as a test of variable rest masses
5-dimensional cosmology | The deviation of primordial Helium production due to a variation on the
difference between the rest masses of the nucleons is presented. It is found an
upper bound $\delta (M_{_n} - M_{_p}) \alt 0.129$ MeV, between the present and
nucleosynthesis epochs. This bound is used to analyze Wesson's theory of
gravitation; as ... | 1995-11-20 | 2009-10-28 | [
"gr-qc"
] | Luis A. Anchordoqui, Diego F. Torres, H\'ector Vucetich |
gr-qc/9511054 | Black hole and the adiabatic phase | An open system consisting of a scalar field bound to a Kerr black hole whose
mass ($M$) and specific angular momentum ($a$) are slowly (adiabatically)
perturbed is considered. The adiabatically induced phase and the conditions for
the validity of the adiabatic approximation are obtained. The effect of closed
cycles in ... | 1995-11-20 | 2010-04-06 | [
"gr-qc",
"hep-th"
] | Roberto Casadio and Giovanni Venturi (Department of Physics,
University of Bologna, and Istituto Nazionale di Fisica Nucleare, Sezione di
Bologna, Italy) |
gr-qc/9511052 | Criticality and Bifurcation in the Gravitational Collapse of a
Self-Coupled Scalar Field | We examine the gravitational collapse of a non-linear sigma model in
spherical symmetry. There exists a family of continuously self-similar
solutions parameterized by the coupling constant of the theory. These solutions
are calculated together with the critical exponents for black hole formation of
these collapse model... | 1995-11-18 | 2011-09-09 | [
"gr-qc"
] | Eric W. Hirschmann, Douglas M. Eardley |
gr-qc/9511053 | Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions | Time-symmetric initial data for two-body solutions in three dimensional
anti-deSitter gravity are found. The spatial geometry has constant negative
curvature and is constructed as a quotient of two-dimensional hyperbolic space.
Apparent horizons correspond to closed geodesics. In an open universe, it is
shown that two ... | 1995-11-18 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | Alan R. Steif |
gr-qc/9511050 | Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes | What restrictions are there on a spacetime for which the Ricci curvature is
such as to produce convergence of geodesics (such as the preconditions for the
Singularity Theorems) but for which there are no singularities? We answer this
question for a restricted class of spacetimes: static, geodesically complete,
and glob... | 1995-11-17 | 2009-10-28 | [
"gr-qc"
] | David Garfinkle and Steven G. Harris |
gr-qc/9511051 | Non-Linear Affine Embedding of the Dirac Field from the
Multiplicity-Free SL(4,R) Unirreps | The correspondence between the linear multiplicity-free unirreps of SL(4, R)
studied by Ne'eman and {\~{S}}ija{\~{c}}ki and the non-linear realizations of
the affine group is worked out. The results obtained clarify the inclusion of
spinorial fields in a non-linear affine gauge theory of gravitation. | 1995-11-17 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | A.Lopez-Pinto, A.Tiemblo and R.Tresguerres |
gr-qc/9511047 | Classical Trace Anomaly | We seek an analogy of the mathematical form of the alternative form of
Einstein's field equations for Lovelock's field equations. We find that the
price for this analogy is to accept the existence of the trace anomaly of the
energy-momentum tensor even in classical treatments. As an example, we take
this analogy to any... | 1995-11-16 | 2009-10-28 | [
"gr-qc",
"hep-th"
] | M. Farhoudi |
gr-qc/9511046 | Back-Reaction on the Topological Degrees of Freedom in (2+1)-Dimensional
Spacetime | We investigate the back-reaction effect of the quantum field on the
topological degrees of freedom in (2+1)-dimensional toroidal universe, ${\cal
M} \simeq T^2\times {\bf R}$. Constructing a homogeneous model of the toroidal
universe, we examine explicitly the back-reaction effect of the Casimir energy
of a massless, c... | 1995-11-16 | 2009-10-28 | [
"gr-qc"
] | Masafumi Seriu (Yukawa Institute for Theoretical Physics) |
gr-qc/9511049 | An account of transforms on \bar {{\cal A}/{\cal G}} | In this article we summarize and describe the recently found transforms for
theories of connections modulo gauge transformations associated with compact
gauge groups. Specifically, we put into a coherent picture the so-called loop
transform, the inverse loop transform, the coherent state transform and finally
the Wick ... | 1995-11-16 | 2011-04-15 | [
"gr-qc",
"hep-th"
] | Thomas Thiemann |
gr-qc/9511048 | Two lectures on Two-Dimensional Gravity | (from the talk:) I shall here speak on gravity in (1+1)-dimensional
space-time --- lineal gravity. The purpose of studying lower dimensional
theories, and specifically lower dimensional gravity, is to gain insight into
difficult conceptional issues, which are present and even more opaque in the
physical (3+1)-dimension... | 1995-11-16 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | R. Jackiw (MIT) |
gr-qc/9511045 | Inhomogeneous universes in observational coordinates | Isotropic inhomogeneous dust universes are analysed via observational
coordinates based on the past light cones of the observer's galactic worldline.
The field equations are reduced to a single first--order {\sc ode} in
observational variables on the past light cone, completing the observational
integration scheme. Thi... | 1995-11-15 | 2016-08-31 | [
"gr-qc"
] | Roy Maartens, Neil Humphreys, David Matravers, Bill Stoeger |
gr-qc/9511043 | Almost-homogeneity of the universe in higher-order gravity | In the $R+\alpha R^2$ gravity theory, we show that if freely propagating
massless particles have an almost isotropic distribution, then the spacetime is
almost Friedmann-Robertson-Walker (FRW). This extends the result proved
recently in general relativity ($\alpha=0$), which is applicable to the
microwave background af... | 1995-11-15 | 2009-10-28 | [
"gr-qc"
] | David R Taylor and Roy Maartens |
gr-qc/9511044 | Quadrupole anisotropy from photon quantum effects | We consider quantum effects of an electromagnetic field in a
radiation-dominated almost FRW spacetime. The dominant non-local quantum
correction to the photon distribution is a quadrupole moment, corresponding to
an effective anisotropic pressure in the energy-momentum tensor. | 1995-11-15 | 2009-10-28 | [
"gr-qc"
] | Alexei V Nesteruk and Roy Maartens |
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