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gr-qc/9411061
Large Deformations of Relativistic Membranes: A Generalization of the Raychaudhuri Equations
A coupled system of non-linear partial differential equations is presented which describes non-perturbatively the evolution of deformations of a relativistic membrane of arbitrary dimension, $D$, in an arbitrary background spacetime. These equations can be considered from a formal point of view as higher dimensional an...
1994-11-23
2009-10-22
[ "gr-qc" ]
Riccardo Capovilla and Jemal Guven
gr-qc/9411060
Geometry of Deformations of Relativistic Membranes
A kinematical description of infinitesimal deformations of the worldsheet spanned in spacetime by a relativistic membrane is presented. This provides a framework for obtaining both the classical equations of motion and the equations describing infinitesimal deformations about solutions of these equations when the actio...
1994-11-23
2009-10-22
[ "gr-qc" ]
Riccardo Capovilla and Jemal Guven
gr-qc/9411058
Instability Proof for Einstein-Yang-Mills Solitons and Black Holes with Arbitrary Gauge Groups
We prove that static, spherically symmetric, asymptotically flat soliton and black hole solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived without explicit knowledge of the possible equilibrium solutions.
1994-11-22
2010-11-01
[ "gr-qc" ]
Othmar Brodbeck and Norbert Straumann
gr-qc/9411057
Note on Massive Spin 2 in Curved Space
We give a Hamiltonian formulation of massive spin 2 theory in arbitrary Einstein space-times. We pay particular attention to Higuchi's forbidden mass range in deSitter space.
1994-11-22
2010-11-01
[ "gr-qc" ]
Ingemar Bengtsson (Univ. of Stockholm)
gr-qc/9411059
Lsdiff M and the Einstein Equations
We give a formulation of the vacuum Einstein equations in terms of a set of volume-preserving vector fields on a four-manifold ${\cal M}$. These vectors satisfy a set of equations which are a generalisation of the Yang-Mills equations for a constant connection on flat spacetime.
1994-11-22
2010-04-06
[ "gr-qc", "hep-th" ]
James D.E. Grant
gr-qc/9411053
Remarks on the frequency spectra of some fundamental quantum effects
Short remarks on the problem of assigning frequency spectra to Casimir, sonoluminescence, Hawking, Unruh, and quantum optical squeezing effects are presented
1994-11-21
2008-02-03
[ "gr-qc", "quant-ph" ]
H.C. Rosu
gr-qc/9411055
Recent Mathematical Developments in Quantum General Relativity
After a brief chronological sketch of developments in non-perturbative canonical quantum gravity, some of the recent mathematical results are reviewed. These include: i) an explicit construction of the quantum counterpart of Wheeler's superspace; ii) a rigorous procedure leading to the general solution of the diffeomor...
1994-11-21
2008-02-03
[ "gr-qc", "hep-th" ]
Abhay Ashtekar
gr-qc/9411056
The averaged null energy condition and difference inequalities in quantum field theory
Recently, Larry Ford and Tom Roman have discovered that in a flat cylindrical space, although the stress-energy tensor itself fails to satisfy the averaged null energy condition (ANEC) along the (non-achronal) null geodesics, when the ``Casimir-vacuum" contribution is subtracted from the stress-energy the resulting ten...
1994-11-21
2009-10-22
[ "gr-qc" ]
Ulvi Yurtsever
gr-qc/9411054
A Mass Bound for Spherically Symmetric Black Hole Spacetimes
Requiring that the matter fields are subject to the dominant energy condition, we establish the lower bound $(4\pi)^{-1} \kappa {\cal A}$ for the total mass $M$ of a static, spherically symmetric black hole spacetime. (${\cal A}$ and $\kappa$ denote the area and the surface gravity of the horizon, respectively.) Togeth...
1994-11-21
2010-04-06
[ "gr-qc" ]
M. Heusler
gr-qc/9411052
Superluminal Velocity of Photons in a Gravitational Background
The influence of radiative corrections on the photon propagation in a gravitational background is investigated without the low-frequency approximation $\omega \ll m$. The conclusion is made in this way that the velocity of light can exceed unity.
1994-11-20
2009-10-22
[ "gr-qc" ]
I.B. Khriplovich
gr-qc/9411051
Hybridizing the skyrmion with an anti-de-Sitter bag
I discuss a phenomenological model of the nucleon in which a small anti-de Sitter bag is placed into the Skyrmion configuration. Such a bag has a timelike boundary and allows naturally the Cheshire Cat Principle. Very important in this model is the membrane of the bag, the 3-dimensional time-space manifold S^{1}\times ...
1994-11-20
2009-10-22
[ "gr-qc", "hep-ph" ]
H.C. Rosu
gr-qc/9411050
Structure of the Spherical Black Hole Interior
The internal structure of a charged spherical black hole is still a topic of debate. In a nonrotating but aspherical gravitational collapse to form a spherical charged black hole, the backscattered gravitational wave tails enter the black hole and are blueshifted at the Cauchy horizon. This has a catastrophic effect if...
1994-11-18
2019-08-15
[ "gr-qc" ]
A. Bonanno, S. Droz, W.Israel and S.M. Morsink
gr-qc/9411049
Gravitational field of an infinitely long supermassive cosmic string
We obtain an exact solution of the coupled Einstein-scalar-gauge field equations for a local infinitely long supermassive cosmic string. The solution correponds to that of Hiscock-Gott . The string appears to be due to the freezing of the scalar field at the null value giving rise to a constant linear energy density.
1994-11-18
2007-05-23
[ "gr-qc" ]
M.M. Som (UFRJ - Brasil) and Marcelo de Oliveira Souza (UFRJ and UENF - Brasil)
gr-qc/9411048
Quasilocal Energy-Momentum for Geometric Gravity Theories
From a covariant Hamiltonian formulation, using symplectic ideas, we obtain covariant quasilocal energy-momentum boundary expressions for general gravity theories. The expressions depend upon which variables are fixed on the boundary, a reference configuration and a displacement vector field. We consider applications t...
1994-11-18
2009-10-22
[ "gr-qc" ]
Chiang-Mei Chen, James M. Nester and Roh Suan Tung
gr-qc/9411047
Hamiltonian approach to relativistic star models
An ADM-like Hamiltonian approach is proposed for static spherically symmetric relativistic star configurations. For a given equation of state the entire information about the model can be encoded in a certain 2-dimensional minisuperspace geometry. We derive exact solutions which arise from symmetries corresponding to l...
1994-11-18
2010-04-06
[ "gr-qc" ]
Kjell Rosquist
gr-qc/9411046
Projective Techniques and Functional Integration
A general framework for integration over certain infinite dimensional spaces is first developed using projective limits of a projective family of compact Hausdorff spaces. The procedure is then applied to gauge theories to carry out integration over the non-linear, infinite dimensional spaces of connections modulo gaug...
1994-11-17
2010-11-01
[ "gr-qc", "hep-th" ]
Abhay Ashtekar and Jerzy Lewandowski
gr-qc/9411042
The Interstellar Medium as a Gravity Wave Detector
An observer, situated several thousand light-years away from a radio pulsar, finds himself embedded in the diffraction pattern resulting from the propagation of the radio waves through the irregular interstellar medium. The observer's movement relative to the pattern causes an apparent scintillation of the pulsar. A bi...
1994-11-16
2010-11-01
[ "gr-qc", "astro-ph" ]
Redouane Fakir
gr-qc/9411044
How and why the wave function collapses after a measurement
We explain the collapse of the wavefunction with the notion that, in a measurement, the system observed nucleates a first order phase transition in the measuring device. The possible final states differ by the values of macroscopic observables, and their relative phase is therefore unobservable. The process is irrevers...
1994-11-16
2007-05-23
[ "gr-qc", "quant-ph" ]
Massimo Fioroni and Giorgio Immirzi
gr-qc/9411045
Chaos and Semiclassical Limit in Quantum Cosmology
In this paper we present a Friedmann-Robertson-Walker cosmological model conformally coupled to a massive scalar field where the WKB approximation fails to reproduce the exact solution to the Wheeler-DeWitt equation for large Universes. The breakdown of the WKB approximation follows the same pattern than in semiclassic...
1994-11-16
2009-10-22
[ "gr-qc" ]
Esteban Calzetta and Juan Jose Gonzalez
gr-qc/9411038
Regularization of the Hamiltonian constraint and the closure of the constraint algebra
In the paper we discuss the process of regularization of the Hamiltonian constraint in the Ashtekar approach to quantizing gravity. We show in detail the calculation of the action of the regulated Hamiltonian constraint on Wilson loops. An important issue considered in the paper is the closure of the constraint algebra...
1994-11-15
2009-10-22
[ "gr-qc" ]
Roumen Borissov
gr-qc/9411039
The Semi-Classical Back Reaction to Black Hole Evaporation
The semi-classical back reaction to black hole evaporation (wherein the renormalized energy momentum tensor is taken as source of Einstein's equations) is analyzed in detail. It is proven that the mass of a Schwarzshild black hole decreases according to Hawking's law $dM/dt = - C/ M^2$ where $C$ is a constant of order ...
1994-11-15
2010-11-01
[ "gr-qc" ]
S. Massar
gr-qc/9411041
Inflation from Extra Dimensions
A gravity-driven inflation is shown to arise from a simple higher dimensional universe. In vacuum, the shear of $n>1$ contracting dimensions is able to inflate the remaining three spatial dimensions. Said another way, the expansion of the 3-volume is accelerated by the contraction of the $n$-volume. Upon dimensional re...
1994-11-15
2009-10-22
[ "gr-qc", "astro-ph" ]
Janna Levin
gr-qc/9411043
Filtering post-Newtonian gravitational waves from coalescing binaries
Gravitational waves from inspiralling binaries are expected to be detected using a data analysis technique known as {\it matched filtering.} This technique is applicable whenever the form of the signal is known accurately. Though we know the form of the signal precisely, we will not know {\it a priori} its parameters. ...
1994-11-15
2010-01-06
[ "gr-qc" ]
B. S. Sathyaprakash
gr-qc/9411040
Long wavelength iteration of Einstein's equations near a spacetime singularity
We clarify the links between a recently developped long wavelength iteration scheme of Einstein's equations, the Belinski Khalatnikov Lifchitz (BKL) general solution near a singularity and the antinewtonian scheme of Tomita's. We determine the regimes when the long wavelength or antinewtonian scheme is directly applica...
1994-11-15
2009-10-22
[ "gr-qc" ]
N. Deruelle and D. Langlois
gr-qc/9411035
Pedestrian notes on quantum mechanics
I present an elementary essay on some issues related to nonrelativistic quantum mechanics, which is written in the spirit of extreme simplicity, making it an easy-to-read paper. Moreover, one can find a useful collection of ideas and opinions expressed by many well-known authors in this vast research field
1994-11-14
2008-02-03
[ "gr-qc", "quant-ph" ]
H.C. Rosu
gr-qc/9411036
QED on Curved Background and on Manifolds with Boundaries: Unitarity versus Covariance
Some recent results show that the covariant path integral and the integral over physical degrees of freedom give contradicting results on curved background and on manifolds with boundaries. This looks like a conflict between unitarity and covariance. We argue that this effect is due to the use of non-covariant measure ...
1994-11-14
2009-10-22
[ "gr-qc", "hep-th" ]
Dmitri V. Vassilevich
gr-qc/9411037
The Energy Spectrum of the Membrane effective Model for Quantum Black Holes
We study first order fluctuations of a relativistic membrane in the curved background of a black hole. The zeroth-order solution corresponds to a spherical membrane tightly covering the event horizon. We obtain a massive Klein-Gordon equation for the fluctuations of the membrane's radial coordinate on the 2+1 dimension...
1994-11-14
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
Carlos O. Lousto
gr-qc/9411034
Remarks about Static Back-Reaction on Black Hole Spacetimes
Recently, it has been claimed that the back reaction of vacuum polarization on a black hole spacetime naturally regularizes infinities in the black hole entropy. We examine the back reaction calculation and find no such short-distance cut-off,in contradiction with these recent claims. Moreover, the intuitive expectatio...
1994-11-13
2007-05-23
[ "gr-qc" ]
Neil J. Cornish and Janna J. Levin
gr-qc/9411032
Stellar Equilibrium in 2+1 Dimensions
The hydrostatic equilibrium of a $2+1$ dimensional perfect fluid star in asymptotically anti-de Sitter space is discussed. The interior geometry matches the exterior $2+1$ black-hole solution. An upper mass limit is found, analogous to Buchdahl's theorem in 3+1, and the possibility of collapse is discussed. The case of...
1994-11-12
2010-04-06
[ "gr-qc" ]
Norman Cruz and Jorge Zanelli
gr-qc/9411031
Comparative Quantizations of (2+1)-Dimensional Gravity
We compare three approaches to the quantization of (2+1)-dimensional gravity with a negative cosmological constant: reduced phase space quantization with the York time slicing, quantization of the algebra of holonomies, and quantization of the space of classical solutions. The relationships among these quantum theories...
1994-11-12
2010-04-28
[ "gr-qc", "hep-th" ]
S. Carlip and J.E. Nelson
gr-qc/9411033
Existence and uniqueness theorems for massless fields on a class of spacetimes with closed timelike curves
We study the massless scalar field on asymptotically flat spacetimes with closed timelike curves (CTC's), in which all future-directed CTC's traverse one end of a handle (wormhole) and emerge from the other end at an earlier time. For a class of static geometries of this type, and for smooth initial data with all deriv...
1994-11-12
2009-10-22
[ "gr-qc" ]
John L. Friedman and Michael S. Morris
gr-qc/9411029
Gravitational Radiation from Coalescing Binary Neutron Stars
We calculate the gravitational radiation produced by the merger and coalescence of inspiraling binary neutron stars using 3-dimensional numerical simulations. The stars are modeled as polytropes and start out in the point-mass limit at wide separation. The hydrodynamic integration is performed using smooth particle hyd...
1994-11-11
2011-09-09
[ "gr-qc", "astro-ph" ]
Xing Zhuge, Joan M. Centrella, and Stephen L. W. McMillan (Drexel University)
gr-qc/9411028
The trace left by signature-change-induced compactification
Recently, it has been shown that an infinite succession of classical signature changes (''signature oscillations'') can compactify and stabilize internal dimensions, and simultaneously leads, after a coarse graining type of average procedure, to an effective (''physical'') space-time geometry displaying the usual Loren...
1994-11-11
2010-04-06
[ "gr-qc" ]
Franz Embacher
gr-qc/9411030
Scale-invariant phase space and the conformal group
The gauge bundle of the 4-dim conformal group over an 8-dim base space, called biconformal space, is shown have a consistent interpretation as a scale-invariant phase space. Specifically, we show that a classical Hamiltonian system generates a differential geometry which is necessarily biconformal, and that the classic...
1994-11-11
2007-05-23
[ "gr-qc" ]
James T. Wheeler
gr-qc/9411027
Consistency of the Nonsymmetric Gravitational Theory
A nonsymmetric gravitational theory (NGT) is presented which is free of ghost poles, tachyons and higher-order poles and there are no problems with asymptotic boundary conditions. An extended Birkhoff theorem is shown to hold for the spherically symmetric solution of the field equations. A static spherically symmetric ...
1994-11-10
2008-02-03
[ "gr-qc" ]
J. W. Moffat
gr-qc/9411026
Collapse to Black Holes in Brans-Dicke Theory: II. Comparison with General Relativity
We discuss a number of long-standing theoretical questions about collapse to black holes in the Brans-Dicke theory of gravitation. Using a new numerical code, we show that Oppenheimer-Snyder collapse in this theory produces black holes that are identical to those of general relativity in final equilibrium, but are quit...
1994-11-10
2010-11-01
[ "gr-qc" ]
Mark A. Scheel, Stuart L. Shapiro, and Saul A. Teukolsky
gr-qc/9411025
Collapse to Black Holes in Brans-Dicke Theory: I. Horizon Boundary Conditions for Dynamical Spacetimes
We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in spherical symmetry, where it can contain gravitational radiation. Our code is capable of accurately tracking collapse to ...
1994-11-10
2009-10-22
[ "gr-qc" ]
Mark A. Scheel, Stuart L. Shapiro, and Saul A. Teukolsky
gr-qc/9411021
Thermodynamics of the Stephani Universes
We examine the consistency of the thermodynamics of the most general class of conformally flat solution with an irrotational perfect fluid source (the Stephani Universes). For the case when the isometry group has dimension $r\ge2$, the Gibbs-Duhem relation is always integrable, but if $r<2$ it is only integrable for th...
1994-11-08
2015-06-25
[ "gr-qc" ]
Hernando Quevedo and Roberto Sussman
gr-qc/9411017
Hamiltonian thermodynamics of the Schwarzschild black hole
Kucha\v{r} has recently given a detailed analysis of the classical and quantum geometrodynamics of the Kruskal extension of the Schwarzschild black hole. In this paper we adapt Kucha\v{r}'s analysis to the exterior region of a Schwarzschild black hole with a timelike boundary. The reduced Lorentzian Hamiltonian is show...
1994-11-08
2010-11-19
[ "gr-qc", "hep-th" ]
Jorma Louko and Bernard F. Whiting
gr-qc/9411020
Local and global structure of a thick domain wall space-time
The local and global properties of the Goetz thick plane domain wall space-time are studied. It is found that when the surface energy of the wall is greater than a critical value $\sigma_{c}$, the space-time will be closed by intermediate singularities at a finite proper distance. A model is presented in which these si...
1994-11-08
2009-09-25
[ "gr-qc" ]
Anzhong Wang and Patricio S. Letelier
gr-qc/9411023
Maximally Symmetric Spin-Two Bitensors on $S^3$ and $H^3$
The transverse traceless spin-two tensor harmonics on $S^3$ and $H^3$ may be denoted by $T^{(kl)}{}_{ab}$. The index $k$ labels the (degenerate) eigenvalues of the Laplacian $\square$ and $l$ the other indices. We compute the bitensor $\sum_l T^{(kl)}{}_{ab}(x) T^{(kl)}{}_{a'b'}(x')^*$ where $x,x'$ are distinct points ...
1994-11-08
2009-10-22
[ "gr-qc" ]
Bruce Allen
gr-qc/9411019
Gravitational and Particle Radiation from Cosmic Strings
Gravitational and massless particle radiation of straight cosmic strings with finite thickness is studied analytically. It is found that the non-linear interaction of the radiation fields emitted by a cosmic string with the ones of the string always makes the spacetime singular at the symmetry axis. The singularity is ...
1994-11-08
2009-07-07
[ "gr-qc" ]
Anzhong Wang and Nilton O. Santos
gr-qc/9411022
On the Thermodynamics of Simple Non-Isentropic Perfect Fluids in General Relativity
We examine the consistency of the thermodynamics of irrotational and non-isentropic perfect fluids complying with matter conservation by looking at the integrability conditions of the Gibbs-Duhem relation. We show that the latter is always integrable for fluids of the following types: (a) static, (b) isentropic (admits...
1994-11-08
2010-04-06
[ "gr-qc" ]
Hernando Quevedo and Roberto Sussman
gr-qc/9411024
Gravitational Collapse of Vacuum Gravitational Field Configurations
This paper proves a theorem about the existence of an apparent horizon in general relativity, which applies equally well to vacuum configurations and matter configurations. The theorem uses the reciprocal of the surface-to-volume ratio of a region on a space slice to measure the radius of the region, and uses the minim...
1994-11-08
2009-10-22
[ "gr-qc" ]
Douglas M. Eardley (ITP)
gr-qc/9411016
Solving the Constraints of General Relativity
I show in this letter that it is possible to solve some of the constraints of the $SO(3)$-ADM formalism for general relativity by using an approach similar to the one introduced by Capovilla, Dell and Jacobson to solve the vector and scalar constraints in the Ashtekar variables framework. I discuss the advantages of us...
1994-11-07
2017-03-24
[ "gr-qc" ]
J. Fernando Barbero
gr-qc/9411014
Some Remarks on Gravitational Analogs of Magnetic Charge
Existing mathematical results are applied to the problem of classifying closed $p$-forms which are locally constructed from Lorentzian metrics on an $n$-dimensional orientable manifold $M$ ($0<p<n$). We show that the only closed, non-exact forms are generated by representatives of cohomology classes of $M$ and $(n-1)$-...
1994-11-07
2010-04-06
[ "gr-qc", "hep-th" ]
C. G. Torre
gr-qc/9411015
Cosmological solution for the problem of rotation velocities in galaxies
A solution for the problem of understanding observed rotation curves in galaxies without the introduction of dark matter halos is presented. This solution has been obtained upon considering the distribution of masses in the expanding universe, then, having a cosmological character. A formal limiting radius for galaxies...
1994-11-07
2009-09-25
[ "gr-qc" ]
J.L. Rosales
gr-qc/9411018
The Geroch group in the Ashtekar formulation
We study the Geroch group in the framework of the Ashtekar formulation. In the case of the one-Killing-vector reduction, it turns out that the third column of the Ashtekar connection is essentially the gradient of the Ernst potential, which implies that the both quantities are based on the ``same'' complexification. In...
1994-11-07
2009-10-22
[ "gr-qc", "hep-th" ]
Shun'ya Mizoguchi
gr-qc/9411013
Gravity as a Higgs Field. III. Nongravitional Deviations of Gravitational Fields
In Parts I and II of the work (gr-qc/9405013, 9407032), we have shown that gravity is {\it sui generis} a Higgs field corresponding to spontaneous symmetry breaking when the fermion matter admits only the Lorentz subgroup of world symmetries of the geometric arena. From the mathematical viewpoint, the Higgs nature of g...
1994-11-06
2007-05-23
[ "gr-qc" ]
G.Sardanashvily
gr-qc/9411011
Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry
It is shown that the initial singularities in spatially compact spacetimes with spherical, plane or hyperbolic symmetry admitting a compact constant mean curvature hypersurface are crushing singularities when the matter content of spacetime is described by the Vlasov equation (collisionless matter) or the wave equation...
1994-11-04
2010-04-06
[ "gr-qc", "dg-ga", "math.DG" ]
Alan D. Rendall
gr-qc/9411012
Billiard Representation for Multidimensional Quantum Cosmology near the Singularity
The degenerate Lagrangian system describing a lot of cosmological models is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the model near the "singularity" is reduced to a billiard on the Lobachevsky space. The Wheeler-DeWitt equation in the asymptotical regime is solv...
1994-11-04
2009-10-22
[ "gr-qc" ]
V. D. Ivashchuk and V. N. Melnikov
gr-qc/9411008
A Parallelizable Implicit Evolution Scheme for Regge Calculus
The role of Regge calculus as a tool for numerical relativity is discussed, and a parallelizable implicit evolution scheme described. Because of the structure of the Regge equations, it is possible to advance the vertices of a triangulated spacelike hypersurface in isolation, solving at each vertex a purely local syste...
1994-11-03
2010-11-01
[ "gr-qc" ]
John W. Barrett, Mark Galassi, Warner A. Miller, Rafael D. Sorkin, Philip A. Tuckey and Ruth M. Williams
gr-qc/9411010
The Constraints in Spherically Symmetric General Relativity II --- Identifying the Configuration Space: A Moment of Time Symmetry
We continue our investigation of the configuration space of general relativity begun in I (gr-qc/9411009). Here we examine the Hamiltonian constraint when the spatial geometry is momentarily static (MS). We show that MS configurations satisfy both the positive quasi-local mass (QLM) theorem and its converse. We derive ...
1994-11-03
2009-10-22
[ "gr-qc" ]
Jemal Guven and Niall \'O Murchadha
gr-qc/9411009
The Constraints in Spherically Symmetric General Relativity I --- Optical Scalars, Foliations, Bounds on the Configuration Space Variables and the Positivity of the Quasi-Local Mass
We examine the constraints of spherically symmetric general relativity with one asymptotically flat region, exploiting both the traditional metric variables and variables constructed from the optical scalars. With respect to the latter variables, there exist two linear combinations of the Hamiltonian and momentum const...
1994-11-03
2009-10-22
[ "gr-qc" ]
Jemal Guven and Niall \'O Murchadha
gr-qc/9411005
Discreteness of area and volume in quantum gravity
We study the operator that corresponds to the measurement of volume, in non-perturbative quantum gravity, and we compute its spectrum. The operator is constructed in the loop representation, via a regularization procedure; it is finite, background independent, and diffeomorphism-invariant, and therefore well defined on...
1994-11-02
2009-10-22
[ "gr-qc" ]
Carlo Rovelli and Lee Smolin
gr-qc/9411006
Nonsymmetric Gravitational Theory
A new version of nonsymmetric gravitational theory is presented. The field equations are expanded about the Minkowski metric, giving in lowest order the linear Einstein field equations and massive Proca field equations for the antisymmetric field $g_{[\mu\nu]}$. An expansion about an arbitrary Einstein background metri...
1994-11-02
2009-10-22
[ "gr-qc" ]
J. W. Moffat
gr-qc/9411007
Spin Network States in Gauge Theory
Given a real-analytic manifold M, a compact connected Lie group G and a principal G-bundle P -> M, there is a canonical `generalized measure' on the space A/G of smooth connections on P modulo gauge transformations. This allows one to define a Hilbert space L^2(A/G). Here we construct a set of vectors spanning L^2(A/G)...
1994-11-02
2010-11-01
[ "gr-qc", "hep-th" ]
John C. Baez
gr-qc/9411003
Lessons of Quantum 2D Dilaton Gravity
Based on the analysis of two dimensional dilaton gravity we argue that the semiclassical equations of black hole formation and evaporation should not be interpreted in terms of expectation values of operators in the exact quantum theory, but rather as WKB trajectories. Thus at the semiclassical level it does not seem p...
1994-11-01
2010-11-01
[ "gr-qc", "hep-th" ]
S.P. de Alwis, D.A. MacIntire
gr-qc/9411002
Classical stability and quantum instability of black-hole Cauchy horizons
For a certain region of the parameter space $\{M,e,\Lambda\}$, the Cauchy horizon of a (charged) black hole residing in de Sitter space is classically stable to gravitational perturbations. This implies that, when left to its own devices, classical theory is unable to retain full predictive power: the evolution of phys...
1994-11-01
2009-10-22
[ "gr-qc" ]
Dragoljub Markovic and Eric Poisson
gr-qc/9411001
Action and Hamiltonian for eternal black holes
We present the Hamiltonian, quasilocal energy, and angular momentum for a spacetime region spatially bounded by two timelike surfaces. The results are applied to the particular case of a spacetime representing an eternal black hole. It is shown that in the case when the boundaries are located in two different wedges of...
1994-11-01
2009-10-22
[ "gr-qc", "hep-th" ]
Valeri Frolov and Erik A. Martinez
gr-qc/9411004
Probabilities Don't Matter
It is suggested that probabilities need not apply at all to matter in the physical world, which may be entirely described by the amplitudes given by the quantum mechanical state. Instead, probabilities may apply only to conscious perceptions in the mental world. Such perceptions may not form unique sequences that one c...
1994-11-01
2008-02-03
[ "gr-qc", "hep-th", "quant-ph" ]
Don N. Page (CIAR Cosmology Program, University of Alberta)
gr-qc/9410047
Gravitons and Lightcone Fluctuations
Gravitons in a squeezed vacuum state, the natural result of quantum creation in the early universe or by black holes, will introduce metric fluctuations. These metric fluctuations will introduce fluctuations of the lightcone. It is shown that when the various two-point functions of a quantized field are averaged over t...
1994-10-31
2008-11-26
[ "gr-qc", "hep-th" ]
L.H. Ford
gr-qc/9410046
Pre-Galaxy Formation: A Non-Linear Analysis of the Evolution of Cosmological Perturbations
A higher-order analysis of the evolution of cosmological perturbations in a Friedman universe is given by using the PMF method. The essence of the PMF approach is to choose a gauge where all fluctuations of the density, the pressure, and the four-velocity vanish. In that gauge, even in higher orders, the perturbation f...
1994-10-31
2009-10-22
[ "gr-qc" ]
Martin Schoen
gr-qc/9410045
Gauge Gravitation Theory. What is the Geometry of the World?
When joined the unified gauge picture of fundamental interactions, the gravitation theory leads to geometry of a space-time which is far from simplicity of pseudo-Riemannian geometry of Einstein's General Relativity. This is geometry of the affine-metric composite dislocated manifolds. The goal is modification of the f...
1994-10-30
2007-05-23
[ "gr-qc", "hep-th" ]
G.Sardanashvily
gr-qc/9410044
Late Time Tail of Wave Propagation on Curved Spacetime
The late time behavior of waves propagating on a general curved spacetime is studied. The late time tail is not necessarily an inverse power of time. Our work extends, places in context, and provides understanding for the known results for the Schwarzschild spacetime. Analytic and numerical results are in excellent agr...
1994-10-30
2009-10-22
[ "gr-qc" ]
E.S.C. Ching, P.T. Leung, W.M. Suen and K. Young
gr-qc/9410043
Averaged Energy Conditions and Quantum Inequalities
Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski universe, we derive a covariant quantum inequality-type bound on the difference of th...
1994-10-29
2010-11-01
[ "gr-qc", "hep-th" ]
L.H. Ford and Thomas A. Roman
gr-qc/9410040
Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces
We consider the question of strong cosmic censorship in spatially compact, spatially locally homogeneous vacuum models. We show in particular that strong cosmic censorship holds in Bianchi IX vacuum space--times with spherical spatial topology.
1994-10-28
2009-10-22
[ "gr-qc" ]
Piotr T. Chru\'sciel, Alan D. Rendall
gr-qc/9410042
Asymptotic Symmetry Groups of Long-Ranged Gauge Configurations
We make some general remarks on long-ranged configurations in gauge or diffeomorphism invariant theories where the fields are allowed to assume some non vanishing values at spatial infinity. In this case the Gauss constraint only eliminates those gauge degrees of freedom which lie in the connected component of asymptot...
1994-10-28
2010-11-01
[ "gr-qc", "hep-th" ]
Domenico Giulini
gr-qc/9410041
Scattering Processes at the Planck Scale
The ultrarelativistic limit of the Kerr - Newman geometry is studied in detail. We find the gravitational shock wave background associated with this limit. We study the scattering of scalar fields in the gravitational shock wave geometries and compare this with the scattering by ultrarelativistic extended sources and w...
1994-10-28
2007-05-23
[ "gr-qc", "astro-ph", "hep-th" ]
C.O.Lousto and N.S\'anchez
gr-qc/9410039
Dynamical Systems Treatment of Scalar Field Cosmologies
The conformal equivalence of some cosmological models in Brans-Dicke theory to general relativistic cosmologies with a scalar field is discussed. In the case of radiation-dominated universes, it is shown that the presence of the scalar field has a negligible impact upon the evolution of the models in the Einstein frame...
1994-10-28
2009-09-25
[ "gr-qc" ]
S. Kolitch and B. Hall
gr-qc/9410037
Continuously Diagonalized Density Operatorof Open Systems
We showed several years ago that the density operator of Markovian open systems can be diagonalized continuously in time. The resulting pure state jump processes correspond to quantum trajectories proposed in recent quantum optics calculations or, at fundamental level, to exact consistent histories.
1994-10-26
2007-05-23
[ "gr-qc" ]
Lajos Diosi
gr-qc/9410035
Magnetic Black Hole Pair-Production: One-Loop Tunneling Rate in the Weak Field Limit
Pair-production of magnetic Reissner-Nordstr\"{o}m black holes (of charges $\pm q$) is studied in the next-to-leading WKB approximation. We consider generic quantum fluctuations in the corresponding instanton geometry, a detailed study of which suggests that, for sufficiently weak field $B$, the problem can be reduced ...
1994-10-26
2007-05-23
[ "gr-qc", "hep-th" ]
Piljin Yi
gr-qc/9410036
Quantum Particle As Seen In Light Scattering
A possible mathematical model has been proposed for motion of illuminated quantum particles seen by eyes or similar devices mapping the scattered light.
1994-10-26
2007-05-23
[ "gr-qc" ]
Lajos Diosi
gr-qc/9410038
Vacuum Weyl Cosmologies in D Dimensions
Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal spaces is obtained. Models with one internal space are considered in more detail; nonsingular models are selected.
1994-10-25
2016-08-31
[ "gr-qc" ]
K.A.Bronnikov and V.N.Melnikov
gr-qc/9410032
Exotic black hole solution in teleparallel theory of (2+1)-dimensional gravity
A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant. Remarkable is the fact that this solution gives a black hole in a \lq \lq flat-l...
1994-10-24
2009-10-22
[ "gr-qc" ]
Toshiharu Kawai
gr-qc/9410033
An Exact Calculation of the Energy Density of Cosmological Gravitational Waves
In this paper we calculate the Bogoliubov coefficients and the energy density of the stochastic gravitational wave background for a universe that undergoes inflation followed by radiation domination and matter domination, using a formalism that gives the Bogoliubov coefficients as continous functions of time. By making...
1994-10-24
2019-08-17
[ "gr-qc" ]
L. E. Mendes, A. B. Henriques and R. G. Moorhouse
gr-qc/9410034
Free Energy and Entropy for Semi-classical Black Holes in the Canonical Ensemble
We consider the thermodynamics of a black hole coupled to thermal radiation in a spatially finite (spherical) region. Thermodynamic state functions are derived in the canonical ensemble, defined by elements of radius $r_o$ and boundary temperature $T(r_o)$. Using recent solutions of the semi-classical back reaction pro...
1994-10-24
2010-11-01
[ "gr-qc" ]
David Hochberg
gr-qc/9410031
Inconsistent Physics in the Presence of Time Machines
We present a scenario in $1 + 1$ and $3 + 1$ dimensional space time which is paradoxical in the presence of a time machine. We show that the paradox cannot be resolved and the scenario has {\em no} consistent classical solution. Since the system is macroscopic, quantisation is unlikely to resolve the paradox. Moreover,...
1994-10-22
2009-09-25
[ "gr-qc", "hep-th" ]
S. Kalyana Rama and Siddhartha Sen
gr-qc/9410030
Stability Properties of the Starobinsky Cosmological Model
We discuss the instabilities appearing in the cosmological model with a quasi de Sitter phase following from a fourth-order gravity theory. Both the classical equation as well as the quantization in form of a Wheeler - De Witt equation are conformally related to the analogous model with Einstein's theory of gravity wit...
1994-10-21
2007-05-23
[ "gr-qc" ]
U. Kasper, S. Kluske, M. Rainer, S. Reuter, H.-J. Schmidt
gr-qc/9410029
Symmetries, superselection rules, and decoherence
We discuss the applicability of the programme of decoherence -- emergence of approximate classical behaviour through interaction with the environment -- to cases where it was suggested that the presence of symmetries would lead to exact superselection rules. For this discussion it is useful to make a distinction betwee...
1994-10-21
2010-11-01
[ "gr-qc", "hep-th" ]
D. Giulini, C. Kiefer, and H. D. Zeh
gr-qc/9410028
Thermodynamic Stability of a Multi-Bubble Cosmological Model
Multibubble solutions for a cosmological model which lead to thermal inflationary states due to a semi-classical tunneling of gravity are calculated.
1994-10-20
2007-05-23
[ "gr-qc" ]
G.Horwitz and O.Fonarev
gr-qc/9410027
Decoherence of Friedmann-Robertson-Walker Geometries in the Presence of Massive Vector Fields with U(1) or SO(3) Global Symmetries
Retrieval of classical behaviour in quantum cosmology is usually discussed in the framework of {\em midi}superspace models in the presence of scalar fields and the inhomogeneous modes corresponding either to gravitational or scalar fields. In this work, we propose an alternative model to study the decoherence of homoge...
1994-10-19
2010-11-01
[ "gr-qc" ]
O. Bertolami and P.V. Moniz
gr-qc/9410026
Quantum Effects Associated with an Electrically Neutral Massless Particle in a Bertotti-Robinson Universe
In the present article we obtain, by separation of variables, an exact solution to the Dirac equation with anomalous momentum for an electrically neutral massless particle in a Bertotti-Robinson universe. We discuss the phenomenom of particle creation in this model.
1994-10-19
2009-10-22
[ "gr-qc" ]
V.M. Villalba
gr-qc/9410025
Cosmological Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background Radiation
A theory of quantum-mechanical generation of cosmological perturbations is considered. The conclusion of this study is that if the large-angular-scale anisotropy in the cosmic microwave background radiation is caused by the long-wavelength cosmological perturbations of quantum mechanical origin, they are, most likely, ...
1994-10-18
2009-09-25
[ "gr-qc", "astro-ph" ]
L. P. Grishchuk
gr-qc/9410023
Topology of Event Horizons and Topological Censorship
We prove that, under certain conditions, the topology of the event horizon of a four dimensional asymptotically flat black hole spacetime must be a 2-sphere. No stationarity assumption is made. However, in order for the theorem to apply, the horizon topology must be unchanging for long enough to admit a certain kind of...
1994-10-18
2010-04-06
[ "gr-qc", "hep-th" ]
Ted Jacobson and Shankar Venkataramani
gr-qc/9410019
The Dipole Coupling of Atoms and Light in Gravitational Fields
The dipole coupling term between a system of N particles with total charge zero and the electromagnetic field is derived in the presence of a weak gravitational field. It is shown that the form of the coupling remains the same as in flat space-time if it is written with respect to the proper time of the observer and to...
1994-10-17
2009-10-22
[ "gr-qc" ]
Karl-Peter Marzlin
gr-qc/9410021
Black Holes in Three Dimensional Topological Gravity
We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and compare with results obtained in Einstein gravity. We find that the theory with topol...
1994-10-17
2010-04-28
[ "gr-qc" ]
S. Carlip, J. Gegenberg, R.B.Mann
gr-qc/9410020
Particle Creation If a Cosmic String Snaps
We calculate the Bogolubov coefficients for a metric which describes the snapping of a cosmic string. If we insist on a matching condition for all times {\it and} a particle interpretation, we find no particle creation.
1994-10-17
2015-06-25
[ "gr-qc" ]
A. H. Bilge, M. Hortacsu, N. Ozdemir
gr-qc/9410022
Do Cosmic Strings Give Rise to Vacuum Fluctuations ?
The role of the identification of the vacuum and non-vacuum space-times in the computation of vacuum fluctuations in the presence of a cosmic string is discussed and an alternative interpretation of the renormalization is proposed. This procedure does not give rise to vacuum fluctuations.
1994-10-17
2007-05-23
[ "gr-qc" ]
A. H. Bilge, M. Hortacsu, N. Ozdemir
gr-qc/9410024
A New Formula for the Mass of a Stationary Axisymmetric Configuration
It has been shown by one of the authors$^1$ that in isotropic spherical coordinates there is a relation between the mass of a static spherical gravitating body and the pressure distribution inside it. In this paper the result is generalized for the case of stationary axisymmetric configurations.
1994-10-17
2015-06-25
[ "gr-qc" ]
R. M. Avakian and G. Oganessyan
gr-qc/9410016
Non-Abelian Black Holes and Catastrophe Theory II: Charged Type
We reanalyze the gravitating monopole and its black hole solutions in the Einstein-Yang-Mills-Higgs system and we discuss their stabilities from the point of view of catastrophe theory. Although these non-trivial solutions exhibit fine and complicated structures, we find that stability is systematically understood via ...
1994-10-13
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
T. Tachizawa, K. Maeda, and T. Torii
gr-qc/9410018
Knots and Quantum Gravity: Progress and Prospects
Recent work on the loop representation of quantum gravity has revealed previously unsuspected connections between knot theory and quantum gravity, or more generally, 3-dimensional topology and 4-dimensional generally covariant physics. We review how some of these relationships arise from a `ladder of field theories' in...
1994-10-13
2007-05-23
[ "gr-qc", "hep-th" ]
John Baez
gr-qc/9410017
The inequivalence of thermodynamic ensembles
The inequivalence of thermodynamical ensembles related by a Legendre transformation is manifest in self-gravitating systems and in black hole thermodynamics. Using the Poincare's method of the linear series, we describe the mathematical reasons which lead to this inequivalence which in turn induces a hierarchy of ensem...
1994-10-13
2009-09-25
[ "gr-qc" ]
Parentani Renaud
gr-qc/9410015
Thermodynamics of a black hole in a cavity
We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from metastable configurations towards stable ones. We show that the probability of finding s...
1994-10-12
2010-04-06
[ "gr-qc" ]
Renaud Parentani, Joseph Katz and Isao Okamoto
gr-qc/9410014
Real Ashtekar Variables for Lorentzian Signature Space-times
I suggest in this letter a new strategy to attack the problem of the reality conditions in the Ashtekar approach to classical and quantum general relativity. By writing a modified Hamiltonian constraint in the usual $SO(3)$ Yang-Mills phase space I show that it is possible to describe space-times with Lorentzian signat...
1994-10-11
2017-03-24
[ "gr-qc" ]
J. Fernando Barbero
gr-qc/9410013
Reality Conditions and Ashtekar Variables: a Different Perspective
We give in this paper a modified self-dual action that leads to the $SO(3)$-ADM formalism without having to face the difficult second class constraints present in other approaches (for example if one starts from the Hilbert-Palatini action). We use the new action principle to gain some new insights into the problem of ...
1994-10-11
2017-03-24
[ "gr-qc" ]
J. Fernando Barbero
gr-qc/9410011
A tensorial Lax pair equation and integrable systems in relativity and classical mechanics
It is shown that the Lax pair equation dL/dt = [L,A] can be given a neat tensorial interpretation for finite-dimensional quadratic Hamiltonians. The Lax matrices L and A are shown to arise from third rank tensors on the configuration space. The second Lax matrix A is related to a connection which characterizes the Hami...
1994-10-11
2007-05-23
[ "gr-qc" ]
Kjell Rosquist
gr-qc/9410012
Signature change induces compactification
It is shown -- using a FRW model with ${\bf S}^3 \times {\bf S}^6$ as spatial sections and a positive cosmological constant -- that classical signature change implies a new compactification mechanism. The internal scale factor is of the order $\Lambda^{-1/2}$, and the solutions are stable against small perturbatons. In...
1994-10-11
2010-11-01
[ "gr-qc" ]
Franz Embacher
gr-qc/9410010
A reformulation of the Ponzano-Regge quantum gravity model in terms of surfaces
We reformulate the Ponzano-Regge quantum gravity model in terms of surfaces on a 3-dimensional simplex lattice. This formulation (1) has a clear relation to the loop representation of the canonical quantum general relativity in 3-dimensions, (2) may have a 4-dimensional analogue, in contrast to the 6-j symbolic formali...
1994-10-10
2007-05-23
[ "gr-qc", "hep-th" ]
Junichi Iwasaki (University of Pittsburgh)
gr-qc/9410008
Quantum Complex Scalar Field in the Two-Dimensional Spacetime with Closed Timelike Curves and a Time-Machine Problem
It is considered the quantum complex scalar field which obeys the authomorphic condition in the two-dimensional spacetime with closed timelike curves and the chronology horizon. The renormalized stress-energy tensor is obtained. It is shown that the value of the stress-energy tensor is regular at the chronology horizon...
1994-10-07
2010-04-06
[ "gr-qc" ]
Sergey Sushkov