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gr-qc/9306023
Entropy in Black Hole Pair Production
Pair production of Reissner-Nordstrom black holes in a magnetic field can be described by a euclidean instanton. It is shown that the instanton amplitude contains an explicit factor of $e^{A/4}$, where $A$ is the area of the event horizon. This is consistent with the hypothesis that $e^{A/4}$ measures the number of bla...
1993-06-18
2009-09-17
[ "gr-qc", "hep-th" ]
D. Garfinkle, S.B. Giddings, and A. Strominger
gr-qc/9306024
Faraday lines and observables for the Einstein-Maxwell theory
In recent work on Einstein gravity in four dimensions using the Ashtekar variables, non-local loop variables have played an important role in attempts to formulate a quantum theory. The introduction of such variables is guided by gauge invariance, and here an infinite set of loop variables is introduced for the Hamilto...
1993-06-18
2010-04-06
[ "gr-qc", "hep-th" ]
Viqar Husain
gr-qc/9306022
The No-Hair Conjecture in 2D Dilaton Supergravity
We study two dimensional dilaton gravity and supergravity following hamiltonian methods. Firstly, we consider the structure of constraints of 2D dilaton gravity and then the 2D dilaton supergravity is obtained taking the squere root of the bosonic constraints. We integrate exactly the equations of motion in both cases ...
1993-06-17
2009-10-22
[ "gr-qc", "hep-th" ]
J. Gamboa and Y. Georgelin
gr-qc/9306021
Global existence of classical solutions to the Vlasov-Poisson system in a three dimensional, cosmological setting
The initial value problem for the Vlasov-Poisson system is by now well understood in the case of an isolated system where, by definition, the distribution function of the particles as well as the gravitational potential vanish at spatial infinity. Here we start with homogeneous solutions, which have a spatially constan...
1993-06-16
2009-10-22
[ "gr-qc" ]
Gerhard Rein and Alan D. Rendall
gr-qc/9306019
Dirac equation in some homogeneous$sqace-times, separation of variables and exact solutions
In the present article, using a further generalization of the algebraic method of separation of variables, the Dirac equation is separated in a family of space-times where it is not possible to find a complete set of first order commuting differential operators. After separating variables, the Dirac equation is reduced...
1993-06-16
2016-08-14
[ "gr-qc" ]
V\'ictor M. Villalba
gr-qc/9306020
A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system
In a previous paper two of the authors (G. R. and A. D. R.) showed that there exist global, classical solutions of the spherically symmetric Vlasov-Einstein system for small initial data. The present paper continues this investigation and allows also large initial data. It is shown that if a solution of the spherically...
1993-06-16
2015-06-25
[ "gr-qc" ]
Gerhard Rein, Alan D. Rendall, and Jack Schaeffer
gr-qc/9306018
Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission)
We discuss the canonical treatment and quantization of matter coupled supergravity in three dimensions, with special emphasis on $N=2$ supergravity. We then analyze the quantum constraint algebra; certain operator ordering ambiguities are found to be absent due to local supersymmetry. We show that the supersymmetry con...
1993-06-15
2009-10-22
[ "gr-qc", "hep-th" ]
H.-J. Matschull and H. Nicolai
gr-qc/9306017
Supersymmetric Homogeneous Quantum Cosmologies Coupled to a Scalar Field
Recent work on $N=2$ supersymmetric Bianchi type IX cosmologies coupled to a scalar field is extended to a general treatment of homogeneous quantum cosmologies with explicitely solvable momentum constraints, i.e. Bianchi types I, II, VII, VIII besides the Bianchi type IX, and special cases, namely the Friedmann univers...
1993-06-14
2009-10-22
[ "gr-qc" ]
J. Bene (INSTITUTE for Solid State Physics, E\"otv\"os University, Muzeum krt. 6-8, H-1088 Budapest, Hungary) and R. Graham (FACHBEREICH Physik, Universit\"at Gesamthochschule Essen D4300 Essen 1, Germany)
gr-qc/9306016
Topology, Decoherence, and Semiclassical Gravity
We address the issue of recovering the time-dependent Schr\"{o}dinger equation from quantum gravity in a natural way. To reach this aim it is necessary to understand the nonoccurrence of certain superpositions in quantum gravity. We explore various possible explanations and their relation. These are the delocalisatio...
1993-06-11
2010-11-01
[ "gr-qc" ]
C. Kiefer
gr-qc/9306014
The Fourth Law of Black Hole Thermodynamics
We show that black holes fulfill the scaling laws arising in critical transitions. In particular, we find that in the transition from negative to positive values the heat capacities $C_{JQ}$, $C_{\Omega Q}$ and $C_{J\Phi}$ give rise to critical exponents satisfying the scaling laws. The three transitions have the same ...
1993-06-10
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
C.O.Lousto
gr-qc/9306015
Squeezed Thermal Vacuum and the Maximum Scale for Inflation
We consider the stimulated emission of gravitons from an initial state of thermal equilibrium, under the action of the cosmic gravitational background field. We find that the low-energy graviton spectrum is enhanced if compared with spontaneous creation from the vacuum; as a consequence, the scale of inflation must be ...
1993-06-10
2010-01-06
[ "gr-qc", "astro-ph", "hep-th" ]
M.Gasperini, M.Giovannini and G.Veneziano
gr-qc/9306013
Quasiclassical Equations of Motion for Nonlinear Brownian Systems
Following the formalism of Gell-Mann and Hartle, phenomenological equations of motion are derived from the decoherence functional formalism of quantum mechanics, using a path-integral description. This is done explicitly for the case of a system interacting with a ``bath'' of harmonic oscillators whose individual motio...
1993-06-08
2009-10-22
[ "gr-qc" ]
Todd A. Brun
gr-qc/9306012
Gravitation vs. Rotation in 2+1 Dimensions
We investigate rotation and rotating structures in (2+1)-dimensional Einstein gravity. We show that rotation generally leads to pathological physical situations.
1993-06-08
2010-04-06
[ "gr-qc", "hep-th" ]
N. J. Cornish and N. E. Frankel
gr-qc/9306011
Cosmic Censorship for Some Spatially Homogeneous Cosmological Models
The global properties of spatially homogeneous cosmological models with collisionless matter are studied. It is shown that as long as the mean curvature of the hypersurfaces of homogeneity remains finite no singularity can occur in finite proper time as measured by observers whose worldlines are orthogonal to these hyp...
1993-06-08
2009-10-22
[ "gr-qc" ]
Alan D. Rendall
gr-qc/9306010
Superluminal Black Holes
The new solution of the Einstein equations in empty space is presented. The solution is constructed using Schwarzschild solution but essentially differs from it. The basic properties of the solution are: the existence of a horizon which is a hyperboloid of one sheet moving along its axis with superluminal velocity, rig...
1993-06-07
2007-05-23
[ "gr-qc" ]
D.S.Dolgov
gr-qc/9306009
Analytic Solutions for Cosmological Perturbations in Multi-Dimensional Space-Time
We obtain analytic solutions for the density contrast and the anisotropic pressure in a multi-dimensional FRW cosmology with collisionless, massless matter. These are compared with perturbations of a perfect fluid universe. To describe the metric perturbations we use manifest gauge invariant metric potentials. The matt...
1993-06-07
2011-04-15
[ "gr-qc", "astro-ph" ]
Dominik J. Schwarz
gr-qc/9306008
Deflationary Universe Scenario
We show that it is possible to realize an inflationary scenario even without conversion of the false vacuum energy to radiation. Such cosmological models have a deflationary stage in which $Ha^2$ is decreasing and radiation produced by particle creation in an expanding Universe becomes dominant. The preceding inflation...
1993-06-04
2010-04-06
[ "gr-qc" ]
Boris Spokoiny
gr-qc/9306006
Classification of Multivector Theories and the Modification of the Postulates of Physics
We propose a graded classification of the entire field of multivector physics, including all alternative points of view. The (often tacit) postulates of different types of formulations are contrasted, summarizing their consequences. Specifically, spin-gauge formulations of gravitation and GUT which assume standard colu...
1993-06-03
2007-05-23
[ "gr-qc", "hep-th" ]
William M. Pezzaglia
gr-qc/9306007
Pull Back Invariant Matter Couplings
An algorithm is described for the construction of actions for scalar, spinor, and vector gauge fields that remains well-defined when the metric is degenerate and that involve no contravariant tensor fields. These actions produce the standard matter dynamics and coupling to gravity when tetrad is nondegenerate, but have...
1993-06-03
2010-04-06
[ "gr-qc" ]
Donald Marolf
gr-qc/9306004
Phase-Space Decoherence: a comparison between Consistent Histories and Environment Induced Superselection
We examine the decoherence properties of a quantum open system as modeled by a quantum optical system in the Markov regime. We look for decoherence in both the Environment Induced Superselection (EIS) and Consistent Histories (CH) frameworks. We propose a general measure of the coherence of the reduced density matrix a...
1993-06-02
2009-10-22
[ "gr-qc" ]
J.Twamley
gr-qc/9306005
Local and global gravitational aspects of domain wall space-times
Local and global gravitational effects induced by eternal vacuum domain walls are studied. We concentrate on thin walls between non-equal and non-positive cosmological constants on each side of the wall. These vacuum domain walls fall in three classes depending on the value of their energy density $\sigma$: (1)\ extrem...
1993-06-02
2009-09-17
[ "gr-qc", "hep-th" ]
Mirjam Cveti\v{c}, Stephen Griffies, and Harald H. Soleng
gr-qc/9306002
Hilbert space of wormholes
Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner produ...
1993-06-01
2010-11-01
[ "gr-qc" ]
Luis J. Garay
gr-qc/9306003
Consistency of the Nonsymmetric Gravitational Theory
The NGT field equations with sources are expanded first about a flat Minkowski background and then about a GR background to first-order in the antisymmetric part of the fundamental tensor, $g_{\mu\nu}$. From the general, static spherically symmetric solution of the field equation in empty space, we establish that there...
1993-06-01
2008-02-03
[ "gr-qc" ]
J. W. Moffat
gr-qc/9306001
Compactification to Non-symmetric Homogeneous Space in Multidimensional Einstein-Yang-Mills Theory
We study ten-dimensional Einstein-Yang-Mills model with the space of extra dimensions being a non-symmetric homogeneous space with the invariant metric parametrized by two scales. Dimensional reduction of the model is carried out and the scalar potential of the reduced theory is calculated. In a cosmological setting mi...
1993-06-01
2007-05-23
[ "gr-qc" ]
Yu.A. Kubyshin and J.I. Perez Cadenas
gr-qc/9305025
Solutions to the Wheeler DeWitt Constraint of Canonical Gravity Coupled to Scalar Matter Fields
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar fields and expressed in terms of Ashtekar's variables admits formal solutions which are parametrized by loops in the three dimensional hypersurface and which are extensions of the well known Wilson loop solutions found by...
1993-05-26
2010-04-06
[ "gr-qc", "hep-th" ]
H.-J. Matschull
gr-qc/9305024
A Proposal for Solving the ``Problem of Time" in Canonical Quantum Gravity
The "problem of time" in canonical quantum gravity refers to the difficulties involved in defining a Hilbert space structure on states -- and local observables on this Hilbert space -- for a theory in which the spacetime metric is treated as a quantum field, so no classical metrical or causal structure is present on sp...
1993-05-25
2009-12-30
[ "gr-qc" ]
Robert M. Wald
gr-qc/9305023
Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems
We derive two new integral mass formulas for stationary black holes in Einstein-Yang-Mills theory. From these we derive a formula for $ \J \Omega -Q V $, from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has vanishing electric field on the static slices. In the Einst...
1993-05-25
2010-01-06
[ "gr-qc" ]
Daniel Sudarsky and Robert M. Wald
gr-qc/9305022
The First Law of Black Hole Mechanics
A simple proof of a strengthened form of the first law of black hole mechanics is presented. The proof is based directly upon the Hamiltonian formulation of general relativity, and it shows that the the first law variational formula holds for arbitrary nonsingular, asymptotically flat perturbations of a stationary, axi...
1993-05-25
2007-05-23
[ "gr-qc" ]
Robert M. Wald
gr-qc/9305021
Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \Scri
The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri...
1993-05-25
2015-06-25
[ "gr-qc" ]
Piotr T. Chrusciel, Malcolm A.H. MacCallum and David B. Singleton
gr-qc/9305018
Anomalous Fermion Production in Gravitational Collapse
The Dirac equation is solved in the Einstein-Yang-Mills background found by Bartnik and McKinnon. We find a normalizable zero-energy fermion mode in the $s$-wave sector. As shown recently, their solution corresponds to a gravitational sphaleron which mediates transitions between topologically distinct vacua. Since the ...
1993-05-24
2009-10-07
[ "gr-qc", "hep-th" ]
G.W. Gibbons and Alan R. Steif
gr-qc/9305020
Six ways to quantize (2+1)-dimensional gravity
We do not yet know how to quantize gravity in 3+1 dimensions, but in lower dimensions we face the opposite problem: many of the approaches originally developed for (3+1)-dimensional gravity can be successfully implemented in 2+1 dimensions, but the resulting quantum theories are not all equivalent. In this talk, I disc...
1993-05-24
2007-05-23
[ "gr-qc", "hep-th" ]
S. Carlip
gr-qc/9305017
Topological Censorship
All three-manifolds are known to occur as Cauchy surfaces of asymptotically flat vacuum spacetimes and of spacetimes with positive-energy sources. We prove here the conjecture that general relativity does not allow an observer to probe the topology of spacetime: any topological structure collapses too quickly to allow ...
1993-05-23
2009-10-22
[ "gr-qc" ]
John L. Friedman, Kristin Schleich, and Donald M. Witt
gr-qc/9305019
New Restrictions on Spatial Topology of the Universe from Microwave Background Temperature Fluctuations
If the Universe has the topology of a 3-torus ($T^3$), then it follows from recent data on large-scale temperature fluctuations $\Delta T/T$ of the cosmic microwave background that either the minimal size of the torus is at least of the order of the present cosmological horizon, or the large-scale $\Delta T/T$ pattern ...
1993-05-23
2007-05-23
[ "gr-qc", "astro-ph" ]
A.A. Starobinsky
gr-qc/9305014
Can Gravitational Waves Prevent Inflation?
To investigate the cosmic no hair conjecture, we analyze numerically 1-dimensional plane symmetrical inhomogeneities due to gravitational waves in vacuum spacetimes with a positive cosmological constant. Assuming periodic gravitational pulse waves initially, we study the time evolution of those waves and the nature of ...
1993-05-18
2010-11-01
[ "gr-qc" ]
Hisa-aki SHINKAI and Kei-ichi MAEDA
gr-qc/9305016
Initial conditions and unitarity in unimodular quantum cosmology
We consider quantization of the positive curvature Friedmann cosmology in the unimodular modification of Einstein's theory, in which the spacetime four-volume appears as an explicit time variable. The Hamiltonian admits self-adjoint extensions that give unitary evolution in the Hilbert space associated with the Schr\"o...
1993-05-18
2007-05-23
[ "gr-qc", "hep-th" ]
Alan Daughton, Jorma Louko, and Rafael D. Sorkin
gr-qc/9305015
An illustration of 2+1 gravity loop transform troubles
A nonperturbative approach to quantum gravity that has generated much discussion is the attempt to construct a ``loop representation." Despite it's success in linear quantum theories and a part of 2+1 quantum gravity, it has recently been noticed that difficulties arise with loop representations in a different ``sector...
1993-05-18
2007-05-23
[ "gr-qc" ]
Donald Marolf
gr-qc/9305013
Massless Minimally Coupled Fields in De Sitter Space: O(4)-Symmetric States Versus De Sitter Invariant Vacuum
The issue of de Sitter invariance for a massless minimally coupled scalar field is revisited. Formally, it is possible to construct a de Sitter invariant state for this case provided that the zero mode of the field is quantized properly. Here we take the point of view that this state is physically acceptable, in the se...
1993-05-16
2009-10-22
[ "gr-qc", "hep-th" ]
Klaus Kirsten and Jaume Garriga
gr-qc/9305012
Quantum Mechanics, Common Sense and the Black Hole Information Paradox
The purpose of this paper is to analyse, in the light of information theory and with the arsenal of (elementary) quantum mechanics (EPR correlations, copying machines, teleportation, mixing produced in sub-systems owing to a trace operation, etc.) the scenarios available on the market to resolve the so-called black-hol...
1993-05-14
2009-10-22
[ "gr-qc", "hep-th" ]
Ulf H. Danielsson and Marcelo Schiffer
gr-qc/9305011
Actions for Gravity, with Generalizations: A Review
Related to the classical Ashtekar Hamiltonian, there have been discoveries regarding new classical actions for gravity in (2+1)- and (3+1)-dimensions, and also generalizations of Einstein's theory of gravity. In this review, I will try to clarify the relations between the new and old actions for gravity, and also give ...
1993-05-13
2010-04-06
[ "gr-qc" ]
Peter Peldan
gr-qc/9305010
Singularity Free Inhomogeneous Models with Heat Flow
We present a class of singularity free exact cosmological solutions of Einstein's equations describing a perfect fluid with heat flow. It is obtained as generalization of the Senovilla class [1] corresponding to incoherent radiation field. The spacetime is cylindrically symmetric and globally regular.
1993-05-12
2010-04-06
[ "gr-qc" ]
L. K. Patel and Naresh Dadhich
gr-qc/9305009
On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
Using distributional techniques we calculate the energy--momentum tensor of the Schwarzschild geometry. It turns out to be a well--defined tensor--distribution concentrated on the $r=0$ region which is usually excluded from space--time. This provides a physical interpretation for the curvature of this geometry.
1993-05-10
2009-10-22
[ "gr-qc" ]
Herbert Balasin, Herbert Nachbagauer
gr-qc/9305008
Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions
A formalism previously introduced by the author using tesselated Cauchy surfaces is applied to define a quantized version of gravitating point particles in 2+1 dimensions. We observe that this is the first model whose quantum version automatically discretizes time. But also spacelike distances are discretized in a very...
1993-05-10
2010-04-06
[ "gr-qc" ]
Gerard 't Hooft
gr-qc/9305006
The Quantum Sphaleron
A gravitational instanton is found that can tunnel into a new more stable vacuum phase where diffeomorphism invariance is broken and pitchfork bifurcations develop. This tunnelling process involves a double sphaleron-like transition which is associated with an extra level of quantization which is above that is containe...
1993-05-07
2009-10-22
[ "gr-qc" ]
P.F. Gonzalez-Diaz
gr-qc/9305007
Average Entropy of a Subsystem
If a quantum system of Hilbert space dimension $mn$ is in a random pure state, the average entropy of a subsystem of dimension $m\leq n$ is conjectured to be $S_{m,n}=\sum_{k=n+1}^{mn}\frac{1}{k}-\frac{m-1}{2n}$ and is shown to be $\simeq \ln m - \frac{m}{2n}$ for $1\ll m\leq n$. Thus there is less than one-half unit o...
1993-05-07
2014-11-17
[ "gr-qc", "hep-th" ]
Don N. Page
gr-qc/9305005
Cosmological Constant and Gravitational Repulsion Effect: 1. Homogeneous models with radiation
Within the framework of the minimum quadratic Poincare gauge theory of gravity in the Riemann-Cartan spacetime we study the influence of gravitational vacuum energy density (a cosmological constant) on the dynamics of various gravitating systems. It is shown that the inclusion of the cosmological term can lead to gravi...
1993-05-06
2009-10-22
[ "gr-qc", "astro-ph" ]
Nguyen Hong Chuong and Nguyen Van Hoang
gr-qc/9305004
Form Connections
Riemannian geometry in four dimensions naturally leads to an SL(3) connection that annihilates a basis for self-dual two-forms. Einstein's equations may be written in terms of an SO(3) connection, with SO(3) chosen as an appropriate subgroup of SL(3). We show how a set of "neighbours" of Einstein's equations arises bec...
1993-05-05
2007-05-23
[ "gr-qc", "hep-th" ]
Ingemar Bengtsson
gr-qc/9305002
Gravitational form factors of the neutrino
The gravitational properties of the neutrino is studied in the weak field approximation. By imposing the hermiticity condition, CPT and CP invariance on the \em tensor matrix element, we shown that the allowed gravitational form factors for Dirac and Majorana neutrinos are very different. In a CPT and CP invariant theo...
1993-05-03
2009-10-22
[ "gr-qc" ]
K. L. Ng
gr-qc/9305003
Holomorphic quantum mechanics with a quadratic Hamiltonian constraint
A finite dimensional system with a quadratic Hamiltonian constraint is Dirac quantized in holomorphic, antiholomorphic and mixed representations. A unique inner product is found by imposing Hermitian conjugacy relations on an operator algebra. The different representations yield drastically different Hilbert spaces. In...
1993-05-03
2010-11-01
[ "gr-qc", "hep-th" ]
Jorma Louko
gr-qc/9305001
About a Super-Ashtekar-Renteln Ansatz
The Ashtekar-Renteln Ansatz gives the self-dual solutions to the Einstein equation. A direct generalization of the Ashtekar-Renteln An\-satz to N=1 supergravity is given both in the canonical and in the covariant formulation and a geometrical property of the solutions is pointed out. (Changes: the covariant formulation...
1993-05-03
2010-04-06
[ "gr-qc", "hep-th" ]
G\'eza F\"ul\"op
gr-qc/9304047
Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories
Invariant connections with torsion on simple group manifolds $S$ are studied and an explicit formula describing them is presented. This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature squared terms on $M^{4} \times S$. We calculate the potential of scalar fields, emer...
1993-05-02
2009-10-22
[ "gr-qc" ]
Yu. A. Kubyshin, V. O. Malyshenko, and D. Marin Ricoy
gr-qc/9304046
Unique Quantum Paths by Continuous Diagonalization of the Density Operator
In this short note we show that for a Markovian open quantum system it is always possible to construct a unique set of perfectly consistent Schmidt paths, supporting quasi-classicality. Our Schmidt process, elaborated several years ago, is the $\Delta t\to 0$ limit of the Schmidt chain constructed very recently by Paz ...
1993-05-01
2007-05-23
[ "gr-qc" ]
Lajos Diosi
gr-qc/9304044
Completeness of Wilson loop functionals on the moduli space of $SL(2,C)$ and $SU(1,1)$-connections
The structure of the moduli spaces $\M := \A/\G$ of (all, not just flat) $SL(2,C)$ and $SU(1,1)$ connections on a n-manifold is analysed. For any topology on the corresponding spaces $\A$ of all connections which satisfies the weak requirement of compatibility with the affine structure of $\A$, the moduli space $\M$ is...
1993-04-30
2010-04-06
[ "gr-qc" ]
Abhay Ashtekar and Jerzy Lewandowski
gr-qc/9304045
Functional Change of Variables in the Wheeler--De Witt Equation
I present a new way to solve the Wheeler--de Witt equation using the invariance of the classical lagrangian under reparametrization. This property allows one to introduce an arbitrary function for each degree of freedom of the wave function $\Psi$: this arbitrariness can be used to fix the asymptotic behaviour of $\Psi...
1993-04-30
2007-05-23
[ "gr-qc" ]
Marco Cavagli\`a
gr-qc/9304043
An algebraic approach to the quantization of cosntrained systems: finite dimensional examples
From the point of view of canonical quantum gravity, it has become imperative to find a framework for quantization which provides a {\em general} prescription to find the physical inner product, and is flexible enough to accommodate non-canonical variables. In this dissertation I consider an algebraic formulation of th...
1993-04-30
2016-08-31
[ "gr-qc" ]
Ranjeet S. Tate, (Ph.D. Dissertation, Syracuse University)
gr-qc/9304042
On the Definition of Averagely Trapped Surfaces
Previously suggested definitions of averagely trapped surfaces are not well-defined properties of 2-surfaces, and can include surfaces in flat space-time. A natural definition of averagely trapped surfaces is that the product of the null expansions be positive on average. A surface is averagely trapped in the latter se...
1993-04-29
2010-04-06
[ "gr-qc" ]
Sean A. Hayward
gr-qc/9304041
Non-Perturbative Canonical Quantization of Minisuperspace Models: Bianchi Types I and II
We carry out the quantization of the full type I and II Bianchi models following the non-perturbative canonical quantization program. These homogeneous minisuperspaces are completely soluble, i.e., it is possible to obtain the general solution to their classical equations of motion in an explicit form. We determine the...
1993-04-29
2010-11-01
[ "gr-qc" ]
Nenad Manojlovic and Guillermo A. Mena Marugan
gr-qc/9304040
Saddle points of stringy action
It is shown that Einstein-Yang-Mills-dilaton theory has a countable family of static globally regular solutions which are purely magnetic but uncharged. The discrete spectrum of masses of these solutions is bounded from above by the mass of extremal Gibbons-Maeda solution. As follows from linear stability analysis all ...
1993-04-28
2007-05-23
[ "gr-qc" ]
Piotr Bizon
gr-qc/9304039
Quantum-Mechanical Histories and the Uncertainty Principle: I.Information-Theoretic Inequalities
This paper is generally concerned with understanding how the uncertainty principle arises in formulations of quantum mechanics, such as the decoherent histories approach, whose central goal is the assignment of probabilities to histories. We first consider histories characterized by position or momentum projections at ...
1993-04-27
2009-10-22
[ "gr-qc", "cond-mat", "hep-th" ]
J.J.Halliwell
gr-qc/9304038
Comment on Consistent Interpretation of Quantum Mechanics Using Quantum Trajectories
Recently, Griffiths presented a generalization of the consistent history approach to quantum mechanics. I can easily construct all possible complete families satisfying Griffiths' "noninterference conditions". Since only trivial families exist one may conclude that Griffiths' proposal has not got farther than the ordin...
1993-04-27
2007-05-23
[ "gr-qc" ]
Lajos Diosi
gr-qc/9304037
Calculation of X-Ray Signals from Karolyhazy Hazy Space-Time
Karolyhazy's hazy space-time model, invented for breaking down macroscopic interferences, employs wave-like gravity disturbances. If so, then electric charges would radiate permanently. Here we discuss the observational consequences of the radiation. We find that such radiation is excluded by common experimental situat...
1993-04-24
2007-05-23
[ "gr-qc" ]
L. Diosi and B. Lukacs
gr-qc/9304036
The Cayley-Hamilton theorem for supermatrices
Starting from the expression for the superdeterminant of (xI-M), where M is an arbitrary supermatrix, we propose a definition for the corresponding characteristic polynomial and we prove that each supermatrix satisfies its characteristic equation. Depending upon the factorization properties of the basic polynomials who...
1993-04-22
2009-10-22
[ "gr-qc" ]
Luis Urrutia and N. Morales
gr-qc/9304034
Trapped Surfaces in Vacuum Spacetimes
An earlier construction by the authors of sequences of globally regular, asymptotically flat initial data for the Einstein vacuum equations containing trapped surfaces for large values of the parameter is extended, from the time symmetric case considered previously, to the case of maximal slices. The resulting theorem ...
1993-04-22
2010-04-06
[ "gr-qc" ]
R. Beig (Institut f\"ur Theoretische Physik Universit\"at Wien), N. \'O Murchadha (Physics Department, University College Cork, Ireland)
gr-qc/9304035
Non-standard phase space variables, quantization, and path integrals, or little ado about much
Contribution to the Misner Festshrift, no abstract.
1993-04-22
2007-05-23
[ "gr-qc" ]
Michael P. Ryan and Sergio Hojman
gr-qc/9304033
Perturbations of a topological defect as a theory of scalar fields interacting with an external vector potential
This is a revised version of gr-qc/9304033
1993-04-21
2009-10-22
[ "gr-qc" ]
Jemal Guven
gr-qc/9304032
Covariant perturbations of domain walls in curved spacetime
A manifestly covariant equation is derived to describe the perturbations in a domain wall on a given background spacetime. This generalizes recent work on domain walls in Minkowski space and introduces a framework for examining the stability of relativistic bubbles in curved spacetimes.
1993-04-21
2009-10-22
[ "gr-qc" ]
Jemal Guven
gr-qc/9304029
On completeness of orbits of Killing vector fields
A Theorem is proved which reduces the problem of completeness of orbits of Killing vector fields in maximal globally hyperbolic, say vacuum, space--times to some properties of the orbits near the Cauchy surface. In particular it is shown that all Killing orbits are complete in maximal developements of asymptotically fl...
1993-04-21
2010-04-06
[ "gr-qc" ]
Piotr T. Chrusciel
gr-qc/9304031
Environment--Induced Decoherence, Classicality and Consistency of Quantum Histories
We prove that for an open system, in the Markovian regime, it is always possible to construct an infinite number of non trivial sets of histories that exactly satisfy the probability sum rules. In spite of being perfectly consistent, these sets manifest a very non--classical behavior: they are quite unstable under the ...
1993-04-20
2010-11-01
[ "gr-qc" ]
Juan Pablo Paz and Wojciech Hubert Zurek
gr-qc/9304028
Static solutions of the spherically symmetric Vlasov-Einstein system
The Vlasov-Einstein system describes the evolution of an ensemble of particles (such as stars in a galaxy, galaxies in a galaxy cluster etc.) interacting only by the gravitational field which they create collectively and which obeys Einstein's field equations. The matter distribution is described by the Vlasov or Liouv...
1993-04-20
2015-06-25
[ "gr-qc" ]
Gerhard Rein
gr-qc/9304030
On the limits of Brans-Dicke spacetimes: a coordinate-free approach
We investigate the limit of Brans-Dicke spacetimes as the scalar field coupling constant omega tends to infinity applying a coordinate-free technique. We obtain the limits of some known exact solutions. It is shown that these limits may not correspond to similar solutions in the general relativity theory.
1993-04-20
2010-11-01
[ "gr-qc" ]
F. M. Paiva and C. Romero
gr-qc/9304026
Action functionals for relativistic perfect fluids
Action functionals describing relativistic perfect fluids are presented. Two of these actions apply to fluids whose equations of state are specified by giving the fluid energy density as a function of particle number density and entropy per particle. Other actions apply to fluids whose equations of state are specified ...
1993-04-19
2010-04-06
[ "gr-qc" ]
David Brown
gr-qc/9304024
Operative Time Definition and Principal Uncertainity
Arguments are given that time must be defined in an operative manner,i.e., by constructing devices which can serve as clocks.The investigation of such devices leads to the conclusion that there is a principal uncertainity of time if one considers periods which are not large compared with the Planck time. Thus,according...
1993-04-19
2007-05-23
[ "gr-qc" ]
Martin Schoen
gr-qc/9304027
No Time Asymmetry from Quantum Mechanics
With CPT-invariant initial conditions that commute with CPT-invariant final conditions, the respective probabilities (when defined) of a set of histories and its CPT reverse are equal, giving a CPT-symmetric universe. This leads me to question whether the asymmetry of the Gell-Mann--Hartle decoherence functional for or...
1993-04-19
2009-10-22
[ "gr-qc", "hep-th" ]
Don N. Page
gr-qc/9304025
An Information-Theoretic Measure of Uncertainty due to Quantum and Thermal Fluctuations
We study an information-theoretic measure of uncertainty for quantum systems. It is the Shannon information $I$ of the phase space probability distribution $\la z | \rho | z \ra $, where $|z \ra $ are coherent states, and $\rho$ is the density matrix. The uncertainty principle is expressed in this measure as $I \ge 1$....
1993-04-18
2009-10-22
[ "gr-qc", "cond-mat", "hep-th" ]
Arlen Anderson and Jonathan J. Halliwell
gr-qc/9304023
Time Symmetry and Asymmetry in Quantum Mechanics and Quantum Cosmology
We investigate the origin of the arrow of time in quantum mechanics in the context of quantum cosmology. The ``Copenhagen'' quantum mechanics of measured subsystems incorporates a fundamental arrow of time. Extending discussions of Aharonov, Bergmann and Lebovitz, Griffiths, and others we investigate a generalized quan...
1993-04-18
2009-09-25
[ "gr-qc", "hep-th" ]
Murray Gell-Mann and James B. Hartle
gr-qc/9304021
Nonlinear evolution of density perturbations using approximate constancy of gravitational potential
During the evolution of density inhomogeneties in an $\Omega=1$, matter dominated universe, the typical density contrast changes from $\delta\simeq 10^{-4}$ to $\delta\simeq 10^2$. However, during the same time, the typical value of the gravitational potential generated by the perturbations changes only by a factor of ...
1993-04-16
2019-08-17
[ "gr-qc" ]
J.S.Bagla, T.Padmanabhan
gr-qc/9304022
Scaling properties of the gravitational clustering in the nonlinear regime
The growth of density perturbations in an expanding universe in the non-linear regime is investigated. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity, $h(a,x)\equiv -[v/(\dot{a}x)]$ depends on the expansion factor $a$ and comoving coordinate $x$...
1993-04-16
2015-06-25
[ "gr-qc" ]
R.Nityananda, T.Padmanabhan
gr-qc/9304020
Gravitational Radiation, Inspiraling Binaries, and Cosmology
We show how to measure cosmological parameters using observations of inspiraling binary neutron star or black hole systems in one or more gravitational wave detectors. To illustrate, we focus on the case of fixed mass binary systems observed in a single Laser Interferometer Gravitational-wave Observatory (LIGO)-like de...
1993-04-15
2009-10-22
[ "gr-qc", "astro-ph" ]
David F. Chernoff, Lee Samuel Finn
gr-qc/9304019
On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of ``null infinity''
Various works have suggested that the Bondi--Sachs--Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat space--times. We have made a detailed analysis of the constraint equations for ``asymptotically hyperboloidal'' initial data and find that log ...
1993-04-15
2009-10-22
[ "gr-qc" ]
Lars Andersson, Piotr T. Chrusciel
gr-qc/9304017
Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge
We continue the investigation of formation of trapped surfaces in strongly curved , conformally flat geometries. Initial data in quasi-polar gauges rather then maximal ones are considered. This implies that apparent horizons coincide with minimal surfaces. Necessary and sufficient conditions for the formation of trappe...
1993-04-14
2007-05-23
[ "gr-qc" ]
Piotr Koc
gr-qc/9304018
Relic Gravitational Waves and Limits on Inflation
It is shown that only a narrow class of inflationary models can possibly agree with the available observational data on the anisotropy of the cosmic microwave background radiation (CMBR). These models may be governed by ``matter'' with the effective equation of state $-1.2 <p/ \epsilon < -0.6$ which includes the De-Sit...
1993-04-14
2009-10-22
[ "gr-qc" ]
L. P. Grishchuk
gr-qc/9304015
Stationary Universe
If the Universe contains at least one inflationary domain with a sufficiently large and homogeneous scalar field, then this domain permanently produces new inflationary domains of all possible types. We show that under certain conditions this process of the self-reproduction of the Universe can be described by a statio...
1993-04-13
2009-09-29
[ "gr-qc", "astro-ph", "hep-ph" ]
Andrei Linde and Arthur Mezhlumian
gr-qc/9304016
Unique family of consistent histories in the Caldeira-Leggett model
Based on the standard statistical interpretation of mixed quantum states, a unique family of consistent histories has been constructed for the quantum Brownian motion in the Caldeira-Leggett reservoir. Analytic solutions have been shown in the Markovian regime: they are uniquely defined coherent wave packets travelling...
1993-04-13
2008-02-03
[ "gr-qc" ]
Lajos Diosi
gr-qc/9304014
The Fourth Root of Gravity
By attaching basis vectors to the components of matter fields, one may render free action densities fully covariant. Both the connection and the tetrads are quadratic forms in these basis vectors. The metric of spacetime, which is quadratic in the tetrads, is then quartic in the basis vectors.
1993-04-12
2007-05-23
[ "gr-qc" ]
Kevin Cahill
gr-qc/9304013
Gurses' Type (b) Transformations are Neighborhood-Isometries
Following an idea close to one given by C. G. Torre (private communication), we prove that Riemannian spaces (M,g) and (M,h) that are related by a Gurses type (b) transformation [M. Gurses, Phys. Rev. Lett. 70, 367 (1993)] or, equivalently, by a Torre-Anderson generalized diffeomorphism [C. G. Torre and I. M. Anderson,...
1993-04-09
2009-10-22
[ "gr-qc" ]
I. Hauser and F. J. Ernst
gr-qc/9304012
Canonical Quantum Gravity
This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical theory as I can by pictorial visualization. Algebraic aspects dominate my descript...
1993-04-08
2007-05-23
[ "gr-qc" ]
Karel Kuchar
gr-qc/9304011
Can quantum wormholes set $Lam$ 0
We find the quantum analogues of Carlini-Mijic wormholes and consider their application to the cosmological constant problem. In a simple model with $\Lambda$ only we differ with the results of Strominger.
1993-04-08
2007-05-23
[ "gr-qc" ]
D.H. Coule and D. Solomons
gr-qc/9304010
General covariance, loops and matter
A four dimensional generally covariant field theory is presented which describes non-dynamical three geometries coupled to scalar fields. The theory has an infinite number of physical observables (or constants of the motion) which are constructed from loops made from scalar field configurations. The Poisson algebra of ...
1993-04-08
2009-10-22
[ "gr-qc" ]
Viqar Husain
gr-qc/9304009
Maximal Hypersurfaces in Asymptotically Stationary Space-Times
Existence of maximal hypersurfaces and of foliations by maximal hypersurfaces is proven in two classes of asymptotically flat spacetimes which possess a one parameter group of isometries whose orbits are timelike ``near infinity''. The first class consists of strongly causal asymptotically flat spacetimes which contain...
1993-04-07
2015-06-25
[ "gr-qc" ]
P.T.Chrusciel, R.Wald
gr-qc/9304007
Global Structure of a Black-Hole Cosmos and its Extremes
We analyze the global structure of a family of Einstein-Maxwell solutions parametrized by mass, charge and cosmological constant. In a qualitative classification there are: (i) generic black-hole solutions, describing a Wheeler wormhole in a closed cosmos of spatial topology $S^2\times S^1$; (ii) generic naked-singular...
1993-04-06
2010-04-06
[ "gr-qc" ]
Dieter R. Brill and Sean A. Hayward
gr-qc/9304008
Semiclassical Gravity Theory and Quantum Fluctuations
We discuss the limits of validity of the semiclassical theory of gravity in which a classical metric is coupled to the expectation value of the stress tensor. It is argued that this theory is a good approximation only when the fluctuations in the stress tensor are small. We calculate a dimensionless measure of these fl...
1993-04-06
2010-11-01
[ "gr-qc" ]
Chung-I Kuo and L. H. Ford
gr-qc/9304006
Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime
These are the author's lectures at the 1992 Les Houches Summer School, "Gravitation and Quantizations". They develop a generalized sum-over-histories quantum mechanics for quantum cosmology that does not require either a preferred notion of time or a definition of measurement. The "post-Everett" quantum mechanics of cl...
1993-04-05
2014-01-15
[ "gr-qc", "hep-th" ]
James B. Hartle
gr-qc/9304005
A New Discretization of Classical and Quantum General Relativity
We propose a new discrete approximation to the Einstein equations, based on the Capovilla-Dell-Jacobson form of the action for the Ashtekar variables. This formulation is analogous to the Regge calculus in that the curvature has support on sets of measure zero. Both a Lagrangian and Hamiltonian formulation are proposed...
1993-04-05
2008-02-03
[ "gr-qc", "hep-lat", "hep-th" ]
O. Bostrom, M. Miller, L. Smolin
gr-qc/9304004
Proof of the Thin Sandwich Conjecture
We prove that the Thin Sandwich Conjecture in general relativity is valid, provided that the data $(g_{ab},\dot g_{ab})$ satisfy certain geometric conditions. These conditions define an open set in the class of possible data, but are not generically satisfied. The implications for the ``superspace'' picture of the Eins...
1993-04-04
2009-10-22
[ "gr-qc" ]
Robert Bartnik and Gyula Fodor
gr-qc/9304003
Gravity-Wave Watching
It is suggested that gravity waves could, in several cases, be detected by means of already (or shortly to be) available technology, independently of current efforts of detection. The present is a follow-up on a recently suggested detection strategy based on gravity-wave-induced deviations of null geodesics. The new de...
1993-04-02
2009-10-22
[ "gr-qc", "astro-ph" ]
Redouane Fakir
gr-qc/9304002
Bianchi Cosmological Models in the Minimum Quadratic Poincare Gauge Theory of Gravity
Within the framework of the minimum quadratic Poincare gauge theory of gravity in the Riemann-Cartan spacetime the dynamics of homogeneous anisotropic Bianchi types I-IX spinning-fluid cosmological models is investigated. A basic equation set for these models is obtained and analyzed. In particular, exact solutions for...
1993-04-01
2007-05-23
[ "gr-qc", "astro-ph" ]
Nguyen Hong Chuong, and Nguyen Van Hoang
gr-qc/9304001
Cosmological Perturbations of Quantum-Mechanical Origin and Anisotropy of the Microwave Background
Cosmological perturbations generated quantum-mechanically (as a particular case, during inflation) possess statistical properties of squeezed quantum states. The power spectra of the perturbations are modulated and the angular distribution of the produced temperature fluctuations of the CMBR is quite specific. An exact...
1993-04-01
2009-10-22
[ "gr-qc" ]
L. P. Grishchuk
gr-qc/9303038
Motion of Inertial Observers Through Negative Energy
Recent research has indicated that negative energy fluxes due to quantum coherence effects obey uncertainty principle-type inequalities of the form $|\Delta E|\,{\Delta \tau} \lprox 1\,$. Here $|\Delta E|$ is the magnitude of the negative energy which is transmitted on a timescale $\Delta \tau$. Our main focus in this ...
1993-03-31
2009-10-22
[ "gr-qc" ]
L.H. Ford and Thomas A. Roman
gr-qc/9303037
Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
We investigate the occurrence and nature of naked singularity for the inhomogeneous gravitational collapse of Tolman-Bondi dust clouds.It is shown that the naked singularities form at the center of the collapsing cloud in a wide class of collapse models which includes the earlier cases considered by Eardley and Smarr a...
1993-03-31
2009-10-22
[ "gr-qc" ]
P.S.Joshi and I.H.Dwivedi
gr-qc/9303035
Exotic Black Holes?
Exotic smooth manifolds, ${\bf R^2\times_\Theta S^2}$, are constructed and discussed as possible space-time models supporting the usual Kruskal presentation of the vacuum Schwarzschild metric locally, but {\em not globally}. While having the same topology as the standard Kruskal model, none of these manifolds is diffeo...
1993-03-30
2016-08-31
[ "gr-qc" ]
Carl H. Brans
gr-qc/9303036
Decoherence Functional and Inhomogeneities in the Early Universe
We investigate the quantum to classical transition of small inhomogeneous fluctuations in the early Universe using the decoherence functional of Gell-Mann and Hartle. We study two types of coarse graining; one due to coarse graining the value of the scalar field and the other due to summing over an environment. We comp...
1993-03-30
2009-10-22
[ "gr-qc" ]
R. Laflamme and A. Matacz