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/9404002 | Singular Perturbations, Regularization and Extension Theory | We present an abstract result on removing regularization for singular
potentials which are not semibounded from below. The relation between ``right''
regularizations and ``right'' self-adjoint extensions of the perturbed
Schr\"odinger operators is examined. | 1994-04-05 | 2008-02-03 | [
"funct-an",
"math.FA"
] | H. Neidhardt, V. A. Zagrebnov |
funct-an/9404001 | Classification of direct limits of even Cuntz-circle algebras | We prove a classification theorem for purely infinte simple C*-algebras that
is strong enough to show that the tensor products of two different irrational
rotation algebras with the same even Cuntz algebra are isomorphic. In more
detail, let C be be the class of simple C*-algebras A which are direct limits A
= lim A_k,... | 1994-04-03 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Huaxin Lin and N. Christopher Phillips |
funct-an/9403004 | Regular Lie groups and a theorem of Lie-Palais | In 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration
of infinitesimal actions of finite-dimensional Lie algebras on compact
manifolds from general theory of regular Lie groups modelled on locally convex
spaces. We show how, in the case of effective action, one can eliminate from
Milnor's argumen... | 1994-03-14 | 2008-02-03 | [
"funct-an",
"math.FA",
"math.RT"
] | Vladimir G. Pestov |
funct-an/9403003 | Crossed product decompositions of a purely infinite von Neumann algebra
with faithful, almost periodic weight | For $\MvN$ a separable, purely infinite von Neumann algebra with almost
periodic weight $\phi$, a decomposition of $\MvN$ as a crossed product of a
semifinite von Neumann algebra by a trace--scaling action of a countable
abelian group is given. Then Takasaki's continuous decomposition of the same
algebra is related to ... | 1994-03-07 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Kenneth J. Dykema |
funct-an/9403002 | On Polynomial Relations in the Heisenberg Algebra | Polynomial relations between the generators of the classical and quantum
Heisenberg algebras are presented. Some of those relations can have a meaning
of the formulas of the normal ordering for the creation/annihilation operators
occurred in the method of the second quantization. | 1994-03-04 | 2009-10-22 | [
"funct-an",
"cond-mat",
"hep-th",
"math.OA"
] | N. Fleury and A. Turbiner |
funct-an/9403001 | Order Preservation in Limit Algebras | The matrix units of a digraph algebra, A, induce a relation, known as the
diagonal order, on the projections in a masa in the algebra. Normalizing
partial isometries in A act on these projections by conjugation; they are said
to be order preserving when they respect the diagonal order. Order preserving
embeddings, in t... | 1994-03-01 | 2016-08-31 | [
"funct-an",
"math.DS",
"math.OA"
] | Alan Hopenwasser and Allan Donsig |
funct-an/9402001 | On Integrable Solutions of Impulsive Delay Differential Equations | The connection of function properties of solutions with exponential stability
of linear impulsive differential equation
$$\dot{x} (t) - \sum_{k=1}^m {A_k (t) x[h_k(t)]} = r(t),~ t \geq 0, x(\xi ) =
\varphi (\xi),~ \xi < 0,$$
$$x(\tau_j) = B_j x(\tau_j - 0) , ~j=1,2, \dots .$$
The explicit stability results and su... | 1994-02-13 | 2016-08-31 | [
"funct-an",
"math.FA"
] | L. Berezansky and E. Braverman |
funct-an/9401003 | Infinite-Dimensional Geometry of the Universal Deformation of the
Complex Disk | The universal deformation of the complex disk is studied from the viewpoint
of infinite-dimensional geometry. The structure of a subsymmetric space on the
universal deformation is described. The foliation of the universal deformation
by subsymmetry mirrors is shown to determine a real polarization.
The subject of the... | 1994-01-28 | 2016-08-31 | [
"funct-an",
"alg-geom",
"hep-th",
"math.AG",
"math.OA"
] | D. Juriev (Yur'ev; Mathematical Division, Research Institute for
System Studies [Information Technologies] of Russian Academy of Sciences,
Moscow) |
funct-an/9401002 | Group Cohomology, Modular Theory and Space-time Symmetries | The Bisognano-Wichmann property on the geometric behavior of the modular
group of the von Neumann algebras of local observables associated to wedge
regions in Quantum Field Theory is shown to provide an intrinsic sufficient
criterion for the existence of a covariant action of the (universal covering
of) the Poincar\'e ... | 1994-01-18 | 2008-02-03 | [
"funct-an",
"math.OA"
] | R. Brunetti, D. Guido, R. Longo |
funct-an/9401001 | Boundedness and Stability of Impulsively Perturbed Delay Differential
Equations | Suppose any solution of a linear impulsive delay differential equation
$$ \dot{x} (t) + \sum_{i=1}^m A_i (t) x[h_i (t)] = 0,~t \geq 0, x(s) = 0, s <
0, $$
$$ x(\tau_j +0) = B_j x(\tau_j -0) + \alpha_j, ~j=1,2, ... ,$$
is bounded for any bounded sequence $\{ \alpha_i \}$. The conditions ensuring
exponential stabil... | 1994-01-16 | 2016-08-31 | [
"funct-an",
"math.DS",
"math.FA"
] | L. Berezansky and E. Braverman |
funct-an/9312006 | A New Approach to Investigation of Evolution Differential Equations in
Banach Spaces | Known investigations of nonlinear evolution equations
$${dx\over dt} + A(t)x(t) = f(t)\ ,\quad x(t_{0}) = x^{0},\ \quad t_{0} \le t
< \infty\ , \eqno(0.1)$$
with monotone operators $A(t)$ acting from reflexive Banach space $B$ to dual
space $B^*$, usually assume that along with $B$ and $B^*$ there is a Hilbert
spac... | 1994-01-02 | 2016-08-31 | [
"funct-an",
"math.FA"
] | Ya.I. Alber |
gr-qc/9412076 | Continuous media interpretation of supersymmetric Wess-Zumino type
models | Supersymmetric Wess-Zumino type models are considered as classical material
media that can be interpreted as fluids of ordered strings with heat flow along
the strings or a mixture of fluids of ordered strings with either a cloud of
particles or a flux of directed radiation. | 1994-12-30 | 2016-08-31 | [
"gr-qc"
] | P.S. Letelier and V.T. Zanchin |
gr-qc/9412075 | One-loop Quantum Gravity in Schwarzschild Spacetime | The quantum theory of linearized perturbations of the gravitational field of
a Schwarzschild black hole is presented. The fundamental operators are seen to
be the perturbed Weyl scalars $\dot\Psi_0$ and $\dot\Psi_4$ associated with the
Newman-Penrose description of the classical theory. Formulae are obtained for
the ex... | 1994-12-23 | 2010-11-01 | [
"gr-qc"
] | Bruce P. Jensen (Univ.s Corsica & Newcastle), John G. Mc Laughlin
(Univ. Newcastle) and Adrian C. Ottewill (Maths Inst., Oxford & Univ. College
Dublin) |
gr-qc/9412067 | On the Consistent Histories Approach to Quantum Mechanics | We review the consistent histories formulations of quantum mechanics
developed by Griffiths, Omn\`es and Gell-Mann and Hartle, and describe the
classification of consistent sets. We illustrate some general features of
consistent sets by a few simple lemmas and examples. We consider various
interpretations of the formal... | 1994-12-22 | 2009-10-22 | [
"gr-qc",
"hep-th",
"quant-ph"
] | Fay Dowker, Adrian Kent |
gr-qc/9412068 | Event Horizons in Numerical Relativity I: Methods and Tests | This is the first paper in a series on event horizons in numerical
relativity. In this paper we present methods for obtaining the location of an
event horizon in a numerically generated spacetime. The location of an event
horizon is determined based on two key ideas: (1) integrating backward in time,
and (2) integratin... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Joseph Libson, Joan Masso, Edward Seidel, Wai-Mo Suen, Paul Walker |
gr-qc/9412071 | New Formalism for Numerical Relativity | We present a new formulation of the Einstein equations that casts them in an
explicitly first order, flux-conservative, hyperbolic form. We show that this
now can be done for a wide class of time slicing conditions, including maximal
slicing, making it potentially very useful for numerical relativity. This
development ... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Carles Bona, Joan Masso, Edward Seidel and Joan Stela |
gr-qc/9412069 | Horizon Boundary Condition for Black Hole Spacetimes | It was recently shown that spacetime singularities in numerical relativity
could be avoided by excising a region inside the apparent horizon in numerical
evolutions. In this paper we report on the details of the implementation of
this scheme. The scheme is based on using (1)~a horizon locking coordinate
which locks the... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Peter Anninos, Greg Daues, Joan Masso, Edward Seidel, and Wai-Mo Suen |
gr-qc/9412072 | The Evolution of Distorted Rotating Black Holes I: Methods and Tests | We have developed a new numerical code to study the evolution of distorted,
rotating black holes. We discuss the numerical methods and gauge conditions we
developed to evolve such spacetimes. The code has been put through a series of
tests, and we report on (a) results of comparisons with codes designed to
evolve non-r... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Steven R. Brandt and Edward Seidel |
gr-qc/9412074 | Test-Particle Motion in the Nonsymmetric Gravitational Theory | We present a derivation of the equation of motion for a test-particle in the
framework of the nonsymmetric gravitational theory. Three possible couplings of
the test-particle to the non-symmetric gravitational field are explored. The
equation of motion is found to be similar in form to the standard geodesic
equation of... | 1994-12-22 | 2008-02-03 | [
"gr-qc"
] | J. Legare and J. W. Moffat |
gr-qc/9412070 | Numerical Black Holes: A Moving Grid Approach | Spherically symmetric (1D) black-hole spacetimes are considered as a test for
numerical relativity. A finite difference code, based in the hyperbolic
structure of Einstein's equations with the harmonic slicing condition is
presented. Significant errors in the mass function are shown to arise from the
steep gradient zon... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Carles Bona, Joan Masso and Joan Stela |
gr-qc/9412073 | The Evolution of Distorted Rotating Black Holes II: Dynamics and
Analysis | We have developed a numerical code to study the evolution of distorted,
rotating black holes. This code is used to evolve a new family of black hole
initial data sets corresponding to distorted ``Kerr'' holes with a wide range
of rotation parameters, and distorted Schwarzschild black holes with odd-parity
radiation. Ro... | 1994-12-22 | 2009-10-22 | [
"gr-qc"
] | Steven R. Brandt and Edward Seidel |
gr-qc/9412058 | A 3D Apparent Horizon Finder | We report on an efficient method for locating the apparent horizon in
numerically constructed dynamical 3D black hole spacetimes. Instead of solving
the zero expansion partial differential equation, our method uses a
minimization procedure. Converting the PDE problem to minimization eliminates
the difficulty of imposin... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Joseph Libson, Joan Masso, Edward Seidel, Wai-Mo Suen |
gr-qc/9412061 | Invariant Algebraic Slicing of the Spacetime | Using the momentum constraint, the standard evolution system is written in a
fully first order form. The class of first order invariant algebraic slicing
conditions is considered. The full set of characteristic fields is explicitly
given. Characteristic speeds associated to the gauge dependent eigenfields
(gauge speeds... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Carles Bona, Joan Stela, Joan Masso, Edward Seidel |
gr-qc/9412064 | Was Einstein 100% right ? | The confrontation between General Relativity and experimental results,
notably binary pulsar data, is summarized and its significance discussed. The
agreement between experiment and theory is numerically very impressive.
However, some recent theoretical findings (existence of non-perturbative
strong-field effects, natu... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | T. Damour |
gr-qc/9412062 | Formation gf Bosonic Compact Objects | We showed that compact bosonic objects can be formed through a process we
called gravitational cooling. A central issue in the subject of boson star is
whether a classical field configuration, {\it e.g.,} one described by the
Klein-Gordon equation, can collapse to form a compact star-like object, as
there is apparently... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Edward Seidel, Wai-Mo Suen |
gr-qc/9412065 | Entropy in the RST Model | The RST Model is given boundary term and Z-field so that it is well-posed and
local. The Euclidean method is described for general theory and used to
calculate the RST intrinsic entropy. The evolution of this entropy for the
shockwave solutions is found and obeys a second law. | 1994-12-21 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | J. D. Hayward |
gr-qc/9412066 | Universal Scaling and Echoing in Gravitational Collapse of a Complex
Scalar Field | This paper studies gravitational collapse of a complex scalar field at the
threshold for black hole formation, assuming that the collapse is spherically
symmetric and continuously self-similar. A new solution of the coupled
Einstein-scalar field equations is derived, after a small amount of numerical
work with ordinary... | 1994-12-21 | 2016-08-24 | [
"gr-qc"
] | Eric W. Hirschmann and Douglas M. Eardley |
gr-qc/9412057 | Adaptative Mesh Refinement in Numerical Relativity | We discuss the use of Adaptative Mesh Refinement (AMR) techniques in
dynamical black hole spacetimes. We compare results between traditional fixed
grid methods and a new AMR application for the 1-D Schwarzschild case. | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Joan Masso, Edward Seidel, Paul Walker |
gr-qc/9412055 | Singularity Avoidance in Numerical Black Hole Spacetimes | Spacetime singularities in numerical relativity can be avoided by excising a
region of the computational domain from inside the apparent horizon. We report
on results of such a scheme that is based on using ({\it i}) a horizon locking
coordinate which locks the coordinate system to the geometry, and ({\it ii}) a
finite... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Peter Anninos, Greg Daues, Joan Masso, Edward Seidel, Wai-Mo Suen |
gr-qc/9412063 | Photon rockets and gravitational radiation | The absence of gravitational radiation in Kinnersley's ``photon rocket''
solution of Einstein's equations is clarified by studying the mathematically
well-defined problem of point-like photon rockets in Minkowski space (i.e.
massive particles emitting null fluid anisotro\-pically and accelerating
because of the recoil)... | 1994-12-21 | 2010-04-06 | [
"gr-qc"
] | T. Damour |
gr-qc/9412056 | Event Horizons of Numerical Black Holes | We have developed a powerful and efficient method for locating the event
horizon of a black hole spacetime, making possible the study of the dynamics of
event horizons in numerical relativity. We describe the method and apply it to
a colliding black hole spacetime. | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Peter Anninos, David Bernstein, Steven Brandt, Joan Masso, Edward
Seidel, Larry Smarr, Wai-Mo Suen, Paul Walker |
gr-qc/9412060 | Numerical Relativity and Black Hole Horizons | I report on recent progress in the exciting field of Numerical Relativity,
with special attention to black hole horizons. | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Joan Masso |
gr-qc/9412059 | 3D Numerical Relativity at NCSA | Numerical relativity is finally coming of age with the development of
massively parallel computers. 3D problems, which were completely intractable
several years ago due to limited computer power, can now be performed with grid
sizes of about $200^3$. We report on several new codes developed for solving
the full 3D Eins... | 1994-12-21 | 2007-05-23 | [
"gr-qc"
] | Peter Anninos, Karen Camarda, Joan Masso, Edward Seidel, Wai-Mo Suen,
Malcolm Tobias, John Towns |
gr-qc/9412052 | SU(2) $\times$ U(1) Gauge Gravity | We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the
function valued Pauli matrices play the role of a non-scalar Higgs-field. As
symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing
particle/antiparticle states. After symmetry breaking a non-scalar
Lorentz-covariant Higgs-fiel... | 1994-12-20 | 2008-11-26 | [
"gr-qc",
"hep-th"
] | H. Dehnen and E. Hitzer |
gr-qc/9412053 | Dark matter and non-Newtonian gravity from General Relativity coupled to
a fluid of strings | An exact solution of Einstein's field equations for a point mass surrounded
by a static, spherically symmetric fluid of strings is presented. The solution
is singular at the origin. Near the string cloud limit there is a $1/r$
correction to Newton's force law. It is noted that at large distances and small
accelerations... | 1994-12-20 | 2010-11-30 | [
"gr-qc"
] | Harald H. Soleng |
gr-qc/9412054 | Quantum Corrections to the Entropy for Higher Spin Fields in Hyperbolic
Space | We calculate the one-loop corrections to the free energy and to the entropy
for fields with arbitrary spins in the space $S^1\otimes H^N$. For conformally
invariant fields by means of a conformal transformation of the metric the
results are valid in Rindler space with $D=N+1$ dimensions. We use the zeta
regularization ... | 1994-12-20 | 2008-02-03 | [
"gr-qc",
"hep-th"
] | M. Bordag (Institute for Theoretical Physics, Leipzig University) and
A.A. Bytsenko (State Technical University, 195251 St.Petersburg, Russia) |
gr-qc/9412049 | Quantum Cosmology of Kantowski-Sachs like Models | The Wheeler-DeWitt equation for a class of Kantowski-Sachs like models is
completely solved. The generalized models include the Kantowski-Sachs model
with cosmological constant and pressureless dust. Likewise contained is a
joined model which consists of a Kantowski-Sachs cylinder inserted between two
FRW half--spheres... | 1994-12-19 | 2009-10-22 | [
"gr-qc"
] | Heinz-Dieter Conradi (RWTH Aachen, Germany) |
gr-qc/9412050 | Euclidean spinor Green's functions in the spacetime of a straight cosmic
string | We determine generally the spinor Green's function and the twisted spinor
Green's function in an Euclidean space with a conical-type line singularity. In
particular, in the neighbourhood of the point source, we expree them as a sum
of the usual Euclidean spinor Green's functin and a regular term. In four
dimensions, we... | 1994-12-19 | 2009-10-22 | [
"gr-qc"
] | B. Linet |
gr-qc/9412051 | Microcanonical functional integral and entropy for eternal black holes | The microcanonical functional integral for an eternal black hole system is
considered. This requires computing the microcanonical action for a spatially
bounded spacetime region when its two disconnected timelike boundary surfaces
are located in different wedges of the Kruskal diagram. The path integral is a
sum over L... | 1994-12-19 | 2010-11-01 | [
"gr-qc",
"hep-th"
] | Erik A. Martinez |
gr-qc/9412048 | Group quantization of parametrized systems II. Pasting Hilbert spaces | The method of group quantization described in the preceeding paper I is
extended so that it becomes applicable to some parametrized systems that do not
admit a global transversal surface. A simple completely solvable toy system is
studied that admits a pair of maximal transversal surfaces intersecting all
orbits. The c... | 1994-12-18 | 2010-11-01 | [
"gr-qc"
] | P. Hajicek, A. Higuchi and J. Tolar |
gr-qc/9412047 | Group quantization of parametrized systems I. Time levels | A method of quantizing parametrized systems is developed that is based on a
kind of ``gauge invariant'' quantities---the so-called perennials (a perennial
must also be an ``integral of motion''). The problem of time in its particular
form (frozen time formalism, global problem of time, multiple choice problem)
is met, ... | 1994-12-17 | 2009-10-22 | [
"gr-qc"
] | P. Hajicek (Institute for Theoretical Physics, University of Berne) |
gr-qc/9412045 | Ordinary Matter in Nonlinear Affine Gauge Theories of Gravitation | We present a general framework to include ordinary fermionic matter in the
metric--affine gauge theories of gravity. It is based on a nonlinear gauge
realization of the affine group, with the Lorentz group as the classification
subgroup of the matter and gravitational fields. | 1994-12-16 | 2010-04-06 | [
"gr-qc"
] | A.L\'opez--Pinto, A.Tiemblo and R.Tresguerres |
gr-qc/9412046 | Classification of Inflationary Einstein--Scalar--Field--Models via
Catastrophe Theory | Various scenarios of the initial inflation of the universe are distinguished
by the choice of a scalar field {\em potential} $U(\phi)$ which simulates a
{\it temporarily} non--vanishing {\em cosmological term}. Our new method, which
involves a reparametrization in terms of the Hubble expansion parameter $H$,
provides a... | 1994-12-16 | 2009-10-22 | [
"gr-qc"
] | Fjodor V.~Kusmartsev, Eckehard W.~Mielke, Yuri N.~Obukhov, and Franz
E.~Schunck |
gr-qc/9412044 | All electro--vacuum Majumdar--Papapetrou space--times with nonsingular
black holes | We show that all Majumdar--Papapetrou electrovacuum space--times with a
non--empty black hole region and with a non--singular domain of outer
communications are the standard Majumdar--Papapetrou space--times. | 1994-12-16 | 2010-11-01 | [
"gr-qc"
] | Piotr T. Chrusciel, Nikolai S. Nadirashvili |
gr-qc/9412042 | Quantum versions of Carlini-Miji\'c wormholes | We consider the quantum analogues of wormholes obtained by Carlini and
Miji\'c (CM), who analytically continued closed universe models. To obtain
wormholes when the strong energy condition ($\gamma>2/3$) is satisfied, we are
able to simplify the Wheeler-DeWitt (WDW) equation by using an equivalent
scalar potential whic... | 1994-12-15 | 2009-09-25 | [
"gr-qc",
"hep-th"
] | A. Carlini, D.H. Coule and D.M. Solomons |
gr-qc/9412043 | Nonlinear Gauge Realization of Spacetime Symmetries Including
Translations | We present a general scheme for the nonlinear gauge realizations of spacetime
groups on coset spaces of the groups considered. In order to show the relevance
of the method for the rigorous treatment of the translations in gravitational
gauge theories, we apply it in particular to the affine group. This is an
illustrati... | 1994-12-15 | 2007-05-23 | [
"gr-qc"
] | J.Julve, A.L\'opez--Pinto, A.Tiemblo and R.Tresguerres |
gr-qc/9412041 | Energy-Momentum Conservation Laws in Hamiltonian Field Theory | In the Lagrangian field theory, one gets different identities for different
stress energy-momentum tensors, e.g., canonical energy-momentum tensors.
Moreover, these identities are not conservation laws of the above-mentioned
energy-momentum tensors in general. In the framework of the multimomentum
Hamiltonian formalism... | 1994-12-14 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | G.Sardanashvily (Moscow State University) |
gr-qc/9412038 | A comment on fluctuations and stability limits with application to
superheated black holes | We point out that, contrary to signs of heat capacities, thermodynamic
fluctuations are simply and unequivocally related to onset of instabilities
that show up near critical points. Fluctuation theory is then applied to \Schw\
\bh s surrounded by radiation. This shows that slowly evolving \bh s along
quasi-equilibrium ... | 1994-12-13 | 2010-04-06 | [
"gr-qc"
] | I. Okamoto, J. Katz and R. Parentani |
gr-qc/9412039 | Gravitating Monopole Solutions II | We present analytical and numerical results for static, spherically symmetric
solutions of the Einstein Yang-Mills Higgs equations corresponding to magnetic
monopoles and non-abelian magnetically charged black holes. In the limit of
infinite Higgs mass we give an existence proof for these solutions. The
stability of th... | 1994-12-13 | 2010-11-01 | [
"gr-qc"
] | Peter Breitenlohner, Peter Forgacs, and Dieter Maison
(Max-Planck-Institut fuer Physik) |
gr-qc/9412040 | A Note on the Semi-Classical Approximation in Quantum Gravity | We re-examine the semiclassical approximation to quantum gravity in the
canonical formulation, focusing on the definition of a quasiclassical state for
the gravitational field. It is shown that a state with classical correlations
must be a superposition of states of the form $e^{iS}$. In terms of a reduced
phase space ... | 1994-12-13 | 2010-11-01 | [
"gr-qc",
"hep-th"
] | Gilad Lifschytz, Samir D. Mathur and Miguel E. Ortiz |
gr-qc/9412035 | Worldsheet formulations of gauge theories and gravity | The evolution operator for states of gauge theories in the graph
representation (closely related to the loop representation of Gambini and
Trias, and Rovelli and Smolin) is formulated as a weighted sum over worldsheets
interpolating between initial and final graphs. As examples, lattice $SU(2)$ BF
and Yang-Mills theori... | 1994-12-12 | 2007-05-23 | [
"gr-qc",
"hep-lat",
"hep-th"
] | Michael Reisenberger (Institute for theoretical physics, University of
Utrecht) |
gr-qc/9412037 | Geometrodynamic Quantization and Time Evolution in Quantum Gravity | We advance here a new gravity quantization procedure that explicitly utilizes
York's analysis of the geometrodynamic degrees of freedom. This geometrodynamic
procedure of quantization is based on a separation of the true dynamic
variables from the embedding parameters and a distinctly different treatment of
these two k... | 1994-12-12 | 2007-05-23 | [
"gr-qc"
] | Arkady Kheyfets and Warner A. Miller |
gr-qc/9412034 | Time Walk Through the Quantum Cosmic String | Enforcing the spacetime of supermassive cosmic strings to satisfy the
symmetry of a gravitational topological defect, that is a spacetime kink, it is
shown that the energy of these strings becomes quantized so that only defects
whose internal geometry is that of a hemisphere (critical string) and that of a
sphere (extr... | 1994-12-12 | 2009-09-25 | [
"gr-qc"
] | Pedro F. Gonzalez-Diaz |
gr-qc/9412036 | N-Black Hole Stationary and Axially Symmetric Solutions of the
Einstein-Maxwell Equations | The Einstein/Maxwell equations reduce in the stationary and axially symmetric
case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C,
where Sigma is a subset of the axis of symmetry, and H^2_C is the complex
hyperbolic plane. Motivated by this problem, we prove the existence and
uniqueness of harm... | 1994-12-12 | 2014-11-17 | [
"gr-qc",
"dg-ga",
"math.DG"
] | Gilbert Weinstein |
gr-qc/9412033 | Notes on synchrotron radiation | I comment on a number of theoretical issues related to magnetobremsstrahlung,
and especially on synchrotron radiation and Unruh (temperature) radiation, that
I consider of importance for the current progress towards a better
understanding of the stationary features of such fundamental radiation patterns
both in an acce... | 1994-12-11 | 2008-02-03 | [
"gr-qc"
] | H.C. Rosu |
gr-qc/9412032 | Classical and Quantum in Cosmology | There are several regimes in chaotic inflationary cosmology where some part
of the system is classical and some other quantum. I describe how to deal with
such systems and how to disentangle their dynamics into classical behaviour and
quantum corrections. I also discuss the conditions for quantum corrections to
be smal... | 1994-12-10 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | J. Kowalski-Glikman |
gr-qc/9412031 | Geometry of chaos in the two-center problem in General Relativity | The now-famous Majumdar-Papapetrou exact solution of the Einstein-Maxwell
equations describes, in general, $N$ static, maximally charged black holes
balanced under mutual gravitational and electrostatic interaction. When $N=2$,
this solution defines the two-black-hole spacetime, and the relativistic
two-center problem ... | 1994-12-10 | 2010-01-15 | [
"gr-qc"
] | Ulvi Yurtsever |
gr-qc/9412030 | Background Thermal Contributions in Testing the Unruh Effect | We consider inertial and accelerated Unruh-DeWitt detectors moving in a
background thermal bath and calculate their excitation rates. It is shown that
for fast moving detectors such a thermal bath does not affect substantially the
excitation probability. Our results are discussed in connection with a possible
proposal ... | 1994-12-09 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Sandro S. Costa and George E.A. Matsas |
gr-qc/9412029 | The Momentum Constraints of General Relativity and Spatial Conformal
Isometries | Transverse-tracefree (TT-) tensors on $({\bf R}^3,g_{ab})$, with $g_{ab}$ an
asymptotically flat metric of fast decay at infinity, are studied. When the
source tensor from which these TT tensors are constructed has fast fall-off at
infinity, TT tensors allow a multipole-type expansion. When $g_{ab}$ has no
conformal Ki... | 1994-12-09 | 2009-10-22 | [
"gr-qc"
] | R. Beig (Institut f\"ur Theoretische Physik, Universit\"at Wien), N.
\'O Murchadha (Physics Department, University College Cork Cork, Ireland) |
gr-qc/9412028 | The Cosmological Probability Density Function for Bianchi Class A Models
in Quantum Supergravity | Nicolai's theorem suggests a simple stochastic interpetation for
supersymmetric Euclidean quantum theories, without requiring any inner product
to be defined on the space of states. In order to apply this idea to
supergravity, we first reduce to a one-dimensional theory with local
supersymmetry by the imposition of hom... | 1994-12-09 | 2009-10-22 | [
"gr-qc"
] | Hugh Luckock and Chris Oliwa (University of Sydney) |
gr-qc/9412025 | Euclidian Vacuum Mode Functions for a Scalar Field on Open De Sitter
Spacetime | Motivated by recent studies of the one-bubble inflationary universe scenario
that predicts a low density, negative curvature universe, we investigate the
Euclidean vacuum mode functions of a scalar field in a spatially open chart of
de Sitter space which is foliated by hyperbolic time slices. When we consider
the possi... | 1994-12-08 | 2009-10-09 | [
"gr-qc"
] | Misao Sasaki, Takahiro Tanaka and Kazuhiro Yamamoto |
gr-qc/9412024 | General relativity and experiment | The confrontation between Einstein's theory of gravitation and experiment is
summarized. Although all current experimental data are compatible with general
relativity, the importance of pursuing the quest for possible deviations from
Einstein's theory is emphasized. | 1994-12-08 | 2007-05-23 | [
"gr-qc"
] | T. Damour |
gr-qc/9412027 | Gravitational radiation from a particle in circular orbit around a black
hole. V. Black-hole absorption and tail corrections | A particle of mass $\mu$ moves on a circular orbit of a nonrotating black
hole of mass $M$. Under the restrictions $\mu/M \ll 1$ and $v \ll 1$, where $v$
is the orbital velocity, we consider the gravitational waves emitted by such a
binary system. We calculate $\dot{E}$, the rate at which the gravitational
waves remove... | 1994-12-08 | 2008-11-26 | [
"gr-qc"
] | Eric Poisson and Misao Sasaki |
gr-qc/9412026 | Dirac Theory in Space-Time without Torsion | It is proven that the usual quadratic general-covariant Lagrangian for the
Dirac field leads to a symmetric, divergence-free energy-momentum tensor in the
standard Riemannian framework of space-time without torsion, provided the
tetrad field components are the only quantities related to gravitation that are
varied inde... | 1994-12-08 | 2008-02-03 | [
"gr-qc"
] | Ludger Hannibal |
gr-qc/9412021 | Energy Density Fluctuations in Inflationary Cosmology | We analyze the energy density fluctuations contributed by scalar fields
$\Phi$ with vanishing expectation values, $\langle\Phi\rangle=0$, which are
present in addition to the inflaton field. For simplicity we take $\Phi$ to be
non--interacting and minimally coupled to gravity. We use normal ordering to
define the renor... | 1994-12-07 | 2009-09-25 | [
"gr-qc",
"astro-ph"
] | Harald F. Muller and Christoph Schmid |
gr-qc/9412020 | New representation and a vacuum state for canonical quantum gravity | A new representation for canonical gravity and supergravity is presented,
which combines advantages of Ashtekar's and the Wheeler~DeWitt representation:
it has a nice geometric structure and the singular metric problem is absent. A
formal state functional can be given, which has some typical features of a
vacuum state ... | 1994-12-07 | 2010-04-06 | [
"gr-qc"
] | Hans-Juergen Matschull |
gr-qc/9412022 | Non--Gaussian Primordial Fluctuations | We analyze the non--Gaussian primordial fluctuations which are inescapably
contributed by scalar fields $\Phi$ with vanishing expectation values,
$\langle\Phi\rangle=0$, present during inflation in addition to the inflaton
field. For simplicity we take $\Phi$ to be non--interacting and minimally
coupled to gravity. $\P... | 1994-12-07 | 2009-09-25 | [
"gr-qc",
"astro-ph"
] | Harald F. Muller and Christoph Schmid |
gr-qc/9412023 | Phase Transition for Gravitationally Collapsing Dust Shells in 2+1
Dimensions | The collapse of thin dust shells in 2+1 dimensional gravity with and without
a cosmological constant in analyzed. A critical value of the shell's mass as a
function of its radius and position is derived. For $\Lambda < 0$, a naked
singularity or black hole forms depending on whether the shell's mass is below
or just ab... | 1994-12-07 | 2009-12-30 | [
"gr-qc",
"hep-th"
] | Yoav Peleg (UWM) and Alan Steif (UCDAVIS) |
gr-qc/9412018 | Black Hole Pair Creation and the Entropy Factor | It is shown that in the instanton approximation the rate of creation of black
holes is always enhanced by a factor of the exponential of the black hole
entropy relative to the rate of creation of compact matter distributions
(stars). This result holds for any generally covariant theory of gravitational
and matter field... | 1994-12-06 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | J. David Brown |
gr-qc/9412017 | Gravity in 2+1 dimensions | A review is given of some classical and quantum aspects of 2+1 dimensional
gravity. | 1994-12-06 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | Pietro Menotti |
gr-qc/9412016 | Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time | A formalism for quantizing time reparametrization invariant dynamics is
considered and applied to systems which contain an `almost ideal clock.'
Previously, this formalism was successfully applied to the Bianchi models and,
while it contains no fundamental notion of `time' or `evolution,' the approach
does contain a no... | 1994-12-06 | 2009-10-22 | [
"gr-qc"
] | Donald Marolf |
gr-qc/9412019 | Edge states in Gravity and Black Hole Physics | We show in the context of Einstein gravity that the removal of a spatial
region leads to the appearance of an infinite set of observables and their
associated edge states localized at its boundary. Such a boundary occurs in
certain approaches to the physics of black holes like the one based on the
membrane paradigm. Th... | 1994-12-06 | 2010-11-01 | [
"gr-qc",
"hep-th"
] | A.P. Balachandran, L. Chandar, Arshad Momen |
gr-qc/9412015 | Classical analysis of Bianchi types I and II in Ashtekar variables | We solve the complex Einstein equations for Bianchi I and II models
formulated in the Ashtekar variables. We then solve the reality conditions to
obtain a parametrization of the space of Lorentzian solutions in terms of real
canonically conjugate variables. In the Ashtekar variables, the dynamics of the
universe point ... | 1994-12-06 | 2010-04-06 | [
"gr-qc"
] | Gabriela Gonzalez (Syracuse University) and Ranjeet S Tate (University
of Pittsburgh) |
gr-qc/9412013 | On the Space-Time Geometry of Quantum Systems | We describe the time evolution of quantum systems in a classical background
space-time by means of a covariant derivative in an infinite dimensional vector
bundle. The corresponding parallel transport operator along a timelike curve
$\cC$ is interpreted as the time evolution operator of an observer moving along
$\cC$. ... | 1994-12-05 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | Dirk Graudenz (CERN) |
gr-qc/9412014 | Coherent State Transforms for Spaces of Connections | The Segal-Bargmann transform plays an important role in quantum theories of
linear fields. Recently, Hall obtained a non-linear analog of this transform
for quantum mechanics on Lie groups. Given a compact, connected Lie group $G$
with its normalized Haar measure $\mu_H$, the Hall transform is an isometric
isomorphism ... | 1994-12-05 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf, Jos\'e Mour\~ao,
Thomas Thiemann |
gr-qc/9412012 | Classical and quantum inertia: A matter of principles | A simple, general discussion of the problem of inertia is provided both in
classical physics and in the quantum world. After briefly reviewing the
classical principles of equivalence (weak (WEP), Einstein (EEP), strong (SEP)),
I pass to a presentation of several equivalence statements in nonrelativistic
quantum mechani... | 1994-12-04 | 2011-09-15 | [
"gr-qc",
"quant-ph"
] | H.C. Rosu |
gr-qc/9412011 | Particle Spectrum Created Through Bubble Nucleation | Using the multi-dimensional wave function formalism, we investigate the
quantum state of a scalar field inside a true vacuum bubble nucleated through
false vacuum decay in flat spacetime. We developed a formalism which allows us
a mode-by-mode analysis. To demonstrate its advantage, we describe in detail
the evolution ... | 1994-12-03 | 2009-10-09 | [
"gr-qc"
] | Kazuhiro Yamamoto, Takahiro Tanaka and Misao Sasaki |
gr-qc/9412009 | Field Equations and Conservation Laws in the Nonsymmetric Gravitational
Theory | The field equations in the nonsymmetric gravitational theory are derived from
a Lagrangian density using a first-order formalism. Using the general
covariance of the Lagrangian density, conservation laws and tensor identities
are derived. Among these are the generalized Bianchi identities and the law of
energy-momentum... | 1994-12-02 | 2009-10-22 | [
"gr-qc"
] | J. Legare and J.W. Moffat |
gr-qc/9412010 | How Old is the Universe? | A dynamical model of the decaying vacuum energy is presented, which is based
on Jordan-Brans-Dicke theory with a scalar field $\phi$. The solution of an
evolutionary differential equation for the scalar field $\phi$ drives the
vacuum energy towards a cosmological constant at the present epoch that can
give for the age ... | 1994-12-02 | 2010-11-01 | [
"gr-qc",
"astro-ph"
] | J. W. Moffat |
gr-qc/9412008 | Choptuik scaling in null coordinates | A numerical simulation is performed of the gravitational collapse of a
spherically symmetric scalar field. The algorithm uses the null initial value
formulation of the Einstein-scalar equations, but does {\it not} use adaptive
mesh refinement. A study is made of the critical phenomena found by Choptuik in
this system. ... | 1994-12-02 | 2010-11-01 | [
"gr-qc"
] | David Garfinkle |
gr-qc/9412004 | Mechanics of a Particle in a Gauge Field | The action principle is frequently used to derive the classical equations of
motion. The action may also be used to associate group elements with curves in
the space-time manifold, similar to the gauge transformations. The action
principle is shown here to be an equivalence relation between the infinitesimal
elements s... | 1994-12-01 | 2015-06-25 | [
"gr-qc"
] | S. R. Vatsya |
gr-qc/9412003 | Quantum creation of an inhomogeneous unflationary universe | The process of quantum creation of a qusihomogeneous inflationary universe
near a cosmological singularity is considered. It is shown that during the
evolution quantum fluctuations of spatial topologies increase and the universe
acquires homogeneous and isotropic character on arbitrary large distances. | 1994-12-01 | 2007-05-23 | [
"gr-qc"
] | A.A.Kirillov |
gr-qc/9412001 | Perturbative Metric of Charged Black Holes in Quadratic Gravity | We consider perturbative solutions to the classical field equations coming
from a quadratic gravitational lagrangian in four dimensions. We study the
charged, spherically symmetric black hole and explicitly give corrections up to
third order (in the coupling constant $\beta$ multiplying the
$R_{\mu\nu}R^{\mu\nu}$ term)... | 1994-12-01 | 2016-08-24 | [
"gr-qc",
"astro-ph",
"hep-th"
] | M.Campanelli, C.O.Lousto and J.Audretsch |
gr-qc/9412002 | Scale Factor Duality: A Quantum Cosmological Approach | We consider the minisuperspace model arising from the lowest order string
effective action containing the graviton and the dilaton and study solutions of
the resulting Wheeler-Dewitt equation. The scale factor duality symmetry is
discussed in the context of our quantum cosmological model. | 1994-12-01 | 2010-04-06 | [
"gr-qc"
] | M. C. Bento and O. Bertolami |
gr-qc/9412005 | Is Quantum Mechanics Compatible with a Deterministic Universe? Two
Interpretations of Quantum Probabilities | Two problems will be considered: the question of hidden parameters and the
problem of Kolmogorovity of quantum probabilities. Both of them will be
analyzed from the point of view of two distinct understandings of quantum
mechanical probabilities. Our analysis will be focused, as a particular
example, on the Aspect-type... | 1994-12-01 | 2009-10-22 | [
"gr-qc",
"quant-ph"
] | Laszlo E. Szabo |
gr-qc/9412006 | Gravity and Geometric Phases | The behavior of a quantum test particle satisfying the Klein-Gordon equation
in a certain class of 4 dimensional stationary space-times is examined. In a
space-time of a spinning cosmic string, the wave function of a particle in a
box is shown to acquire a geometric phase when the box is transported around a
closed pat... | 1994-12-01 | 2009-10-22 | [
"gr-qc",
"hep-th",
"quant-ph"
] | A. Corichi and M. Pierri |
gr-qc/9412007 | Knots and Classical 3-Geometries | It has been conjectured by Rovelli that there is a correspondence between the
space of link classes of a Riemannian 3-manifold and the space of 3-geometries
(on the same manifold). An exact statement of his conjecture will be
established and then verified for the case when the 3-manifold is compact,
orientable and clos... | 1994-12-01 | 2009-10-22 | [
"gr-qc"
] | T.-C. Toh and M. R. Anderson |
gr-qc/9411073 | Decoherence, Re-coherence, and the Black Hole Information Paradox | We analyze a system consisting of an oscillator coupled to a field. With the
field traced out as an environment, the oscillator loses coherence on a very
short {\it decoherence timescale}; but, on a much longer {\it relaxation
timescale}, predictably evolves into a unique, pure (ground) state. This
example of {\it re-c... | 1994-11-30 | 2011-08-04 | [
"gr-qc",
"hep-th",
"quant-ph"
] | J.R. Anglin, R. Laflamme, W.H. Zurek, and J.P. Paz |
gr-qc/9411068 | Induced Violation of Weak Equivalence Principle in the Brans-Dicke
Theory | A quantum correction to the Brans-Dicke theory due to interactions among
matter fields is calculated, resulting in violation of WEP, hence giving a
constraint on the parameter $\omega$ far more stringent than accepted so far.
The tentative estimate gives the lower bounds $\gsim 10^{6}$ and $\gsim 10^{8}$
for the assume... | 1994-11-29 | 2015-06-25 | [
"gr-qc"
] | Yasunori Fujii |
gr-qc/9411074 | Weyl Equation in G\"Odel Type Universes | The Weyl equation (massless Dirac equation) is studied in a family of metrics
of the G\"odel type. The field equation is solved exactly for one member of the
family. | 1994-11-29 | 2007-05-23 | [
"gr-qc"
] | Pimentel L O, Camacho A and Macias A |
gr-qc/9411072 | Quantum Cosmology for a Quadratic Theory of Gravity | For pure fourth order (${\cal{L}} \propto R^2$) quantum cosmology the
Wheeler-DeWitt equation is solved exactly for the closed homogeneous and
isotropic model. It is shown that by imposing as boundary condition that $\Psi
= 0$ at the origin of the universe the wave functions behave as suggested by
Vilenkin. | 1994-11-29 | 2010-04-06 | [
"gr-qc"
] | Pimentel L O and Obregon O |
gr-qc/9411070 | Hamiltonian Formalism for Black Holes and Quantization | Starting from the Lagrangian formulation of the Einstein equations for the
vacuum static spherically symmetric metric, we develop a canonical formalism in
the radial variable $r$ that is time--like inside the Schwarzschild horizon.
The Schwarzschild mass turns out to be represented by a canonical function that
commutes... | 1994-11-29 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Marco Cavaglia`, Vittorio de Alfaro and Alexandre T. Filippov |
gr-qc/9411069 | String theory and gravity | It is pointed out that string-loop effects may generate matter couplings for
the dilaton allowing this scalar partner of the tensorial graviton to stay
massless while contributing to macroscopic gravity in a way naturally
compatible with existing experimental data. Under a certain assumption of
universality of the dila... | 1994-11-29 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | T. Damour, A.M. Polyakov |
gr-qc/9411071 | Effects of Bulk Viscosity on Cosmological Evolution | The effect of bulk viscisity on the evolution of the homogeneous and
isotropic cosmological models is considered. Solutions are found, with a
barotropic equation of state, and a viscosity coefficient that is proportional
to a power of the energy density of the universe. For flat space, power law
expansions, related to ... | 1994-11-29 | 2008-11-26 | [
"gr-qc"
] | Pimentel L O and Diaz-Rivera L M |
gr-qc/9411065 | Multidimensional Einstein-Yang-Mills cosmological models | We study the process of the evolution of the space of extra dimensions in the
framework of Einstein-Yang-Mills cosmological models. It is shown that, for
certain classes of models, the static compact space of extra dimensions is the
attractor for a wide range of initial conditions. Also the effect of
isotropization of ... | 1994-11-28 | 2019-08-17 | [
"gr-qc"
] | Yu. Kubyshin, E. Moreno and J. I. P\'erez Cadenas |
gr-qc/9411067 | Diffeomorphism Invariant Actions for Partial Systems | Local action principles on a manifold $\M$ are invariant (if at all) only
under diffeomorphisms that preserve the boundary of $\M$. Suppose, however,
that we wish to study only part of a system described by such a principle;
namely, the part that lies in a bounded region $R$ of spacetime where $R$ is
specified in some ... | 1994-11-28 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Donald Marolf |
gr-qc/9411066 | On the relation between metric and spin--2 form. of lin. Ein. theory | A twenty--dimensional space of charged solutions of spin--2 equations is
proposed. The relation with extended (via dilatation) Poincar\'e group is
analyzed. Locally, each solution of the theory may be described in terms of a
potential, which can be interpreted as a metric tensor satisfying linearized
Einstein equations... | 1994-11-28 | 2010-11-01 | [
"gr-qc"
] | Jacek Jezierski |
gr-qc/9411063 | Black holes, cosmological singularities and change of signature | There exists a widespread belief that signature type change could be used to
avoid spacetime singularities. We show that signature change cannot be utilised
to this end unless the Einstein equation is abandoned at the suface of
signature type change. We also discuss how to solve the initial value problem
and show to wh... | 1994-11-25 | 2010-04-06 | [
"gr-qc"
] | Marcus Kriele and Jerome Martin |
gr-qc/9411064 | Inflationary Behaviour in Axial-symmetric Gravitational Collapse | We show that the interior of a charged, spinning black hole formed from a
general axially symmetric gravitational collapse is unstable to inflation of
both its mass and angular momentum parameters. Although our results are
formulated in the context of $(2+1)$-dimensional black holes, we argue that
they are applicable t... | 1994-11-25 | 2008-02-03 | [
"gr-qc"
] | J.S.F. Chan and R.B. Mann |
gr-qc/9411062 | Heat kernel for antisymmetric tensor field on a disk | We suggest a method of reduction of mixed absolute and relative boundary
conditions to pure ones. The case of rank two tensor is studied in detail. For
four-dimensional disk the corresponding heat kernel is expressed in terms of
scalar heat kernels. The result for scaling behavior $\zeta (0)$ agrees with
previous calcu... | 1994-11-24 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Dmitri V.Vassilevich |
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