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gr-qc/9312014
Squeezed Vacua and the Quantum Statistics of Cosmological Particle Creation
We use the language of squeezed states to give a systematic description of two issues in cosmological particle creation: a) Dependence of particle creation on the initial state specified. We consider in particular the number state, the coherent and the squeezed state. b) The relation of spontaneous and stimulated parti...
1993-12-08
2014-11-17
[ "gr-qc" ]
Be-lok Hu, G. Kang and Andrew Matacz
gr-qc/9312013
Representations of the $SU(N)$ $T$-algebra and the loop representation in $1+1$-dimensions
We consider the phase-space of Yang-Mills on a cylindrical space-time ($S^1 \times {\bf R}$) and the associated algebra of gauge-invariant functions, the $T$-variables. We solve the Mandelstam identities both classically and quantum-mechanically by considering the $T$-variables as functions of the eigenvalues of the ho...
1993-12-07
2010-04-06
[ "gr-qc" ]
J. Hallin
gr-qc/9312012
Causal Feature of Central Singularity and Gravitational Mass
Mass of singularity is defined, and its relation to whether the singularity is spacelike, timelike or null is discussed for spherically symmetric spacetimes. It is shown that if the mass of singularity is positive (negative) the singularity is non-timelike (non-spacelike). The connection between the sign of the m...
1993-12-05
2007-05-23
[ "gr-qc", "hep-th" ]
Tatsuhiko Koike, Hisashi Onozawa and Masaru Siino
gr-qc/9312011
Compact Three Dimensional Black Hole: Topology Change and Closed Timelike Curve (minor changes)
We present a compactified version of the 3-dimensional black hole recently found by considering extra identifications and determine the analytical continuation of the solution beyond its coordinate singularity by extending the identifications to the extended region of the spacetime. In the extended region of the spacet...
1993-12-04
2010-04-06
[ "gr-qc", "hep-th" ]
Masaru Siino
gr-qc/9312007
Spacetime structure and Quantum physics
A description of electromagnetism as four-dimensional spacetime structure leads to the dynamics of a charged particle being determined only by the four-vector potential and the existence of an electromagnetic field depending on the topological structure of the background spacetime. When the spacetime structure of elect...
1993-12-03
2007-05-23
[ "gr-qc", "hep-th" ]
Vu B Ho
gr-qc/9312009
On black hole singularities in quantum gravity
We show that absence of space-like boundaries in 1+1 dimensional dilaton gravity implies a catastrophic event at the end point of black hole evaporation. The proof is completely independent of the physics at Planck scales, which suggests that the same will occur in any theory of quantum gravity which only admits trivia...
1993-12-03
2009-10-22
[ "gr-qc", "hep-th" ]
J.G. Russo
gr-qc/9312010
On the principles of description of time and space relationships in frames of general relativity
The problem of the referring of space and time relationships between physical objects in a curved space-time is discussed. The basic notions of column and weak column that could constitute the basis for consistent general relativistic description of measurements of space and time relations are introduced and the corres...
1993-12-03
2007-05-23
[ "gr-qc" ]
S.Tertychniy
gr-qc/9312006
Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure
The quantum dynamics of a two-dimensional charged spin $1/2$ particle is studied for general, symmetry--free curved surfaces and general, nonuniform magnetic fields that are, when different from zero, orthogonal to the defining two surface. Although higher Landau levels generally lose their degeneracy under such genera...
1993-12-03
2009-10-22
[ "gr-qc", "hep-th" ]
Robert Alicki, John R. Klauder and Jerzy Lewandowski
gr-qc/9312008
On Physical Equivalence between Nonlinear Gravity Theories
We argue that in a nonlinear gravity theory, which according to well-known results is dynamically equivalent to a self-gravitating scalar field in General Relativity, the true physical variables are exactly those which describe the equivalent general-relativistic model (these variables are known as Einstein frame). Whe...
1993-12-03
2010-11-01
[ "gr-qc" ]
Guido Magnano and Leszek M. Sokolowski
gr-qc/9312003
Penrose Inequality for Gravitational Waves
We investigate axially symmetric asymptotically flat vacuum self-gravitating system. A class of initial data with apparent horizon was numerically constructed. The examined solutions satisfy the Penrose inequality. The prior analysis of a massive system and the present results suggest that either massive or sourcefree ...
1993-12-02
2010-04-06
[ "gr-qc" ]
Janusz Karkowski, Piotr Koc, Zdobyslaw Swierczynski
gr-qc/9312004
Conformal Killing Vectors in Five-Dimensional Space
The solutions of generalized Killing equation have been obtained for line element with initial $t^2 \oplus so(3)$ symmetry. The coefficients of the metric $g$ corresponding to these vector fields are written down.
1993-12-02
2007-05-23
[ "gr-qc" ]
G. L. Rcheulishvili
gr-qc/9312005
Optimal Filters for the Detection of Continuous Gravitational Waves
We determine the transfer functions of two kinds of filters that can be used in the detection of continuous gravitational radiation. The first one optimizes the signal-to-noise ratio, and the second reproduces the wave with minimum error. We analyse the behaviour of these filters in connection with actual detection sch...
1993-12-02
2009-09-25
[ "gr-qc" ]
Nadja S. Magalhaes and Carlos O. Escobar
gr-qc/9312002
The Off-Shell Black Hole
The standard (Euclidean) action principle for the gravitational field implies that for spacetimes with black hole topology, the opening angle at the horizon and the horizon area are canonical conjugates. It is shown that the opening angle bears the same relation to the horizon area that the time separation bears to the...
1993-12-01
2010-04-06
[ "gr-qc", "hep-th" ]
S. Carlip and C. Teitelboim
gr-qc/9312001
Loop Representations
The loop representation plays an important role in canonical quantum gravity because loop variables allow a natural treatment of the constraints. In these lectures we give an elementary introduction to (i) the relevant history of loops in knot theory and gauge theory, (ii) the loop representation of Maxwell theory, and...
1993-12-01
2009-10-22
[ "gr-qc" ]
B. Bruegmann
gr-qc/9311036
Gravitational Field of a Moving Spinning Point Particle
The gravitational and electromagnetic fields of a moving charged spinning point particle are obtained in the Lorentz covariant form by transforming the Kerr--Newman solution in Boyer--Lindquist coordinates to the one in the coordinate system which resembles the isotropic coordinates and then covariantizing it. It is sh...
1993-11-30
2007-05-23
[ "gr-qc", "hep-th" ]
Jaegu Kim
gr-qc/9311037
Affine Projection Tensor Geometry: Decomposing the Curvature Tensor When the Connection is Arbitrary and the Projection is Tilted
This paper constructs the geometrically natural objects which are associated with any projection tensor field on a manifold with any affine connection. The approaches to projection tensor fields which have been used in general relativity and related theories assume normal projection tensors of co-dimension one and conn...
1993-11-30
2009-10-22
[ "gr-qc" ]
Robert H. Gowdy
gr-qc/9311035
A Hamiltonian Formulation of Topological Gravity
Topological gravity is the reduction of Einstein's theory to spacetimes with vanishing curvature, but with global degrees of freedom related to the topology of the universe. We present an exact Hamiltonian lattice theory for topological gravity, which admits translations of the lattice sites as a gauge symmetry. There ...
1993-11-30
2010-04-06
[ "gr-qc" ]
Henri Waelbroeck and Jose Antonio Zapata
gr-qc/9311034
Testing for Preferred-Frame Effects in Gravity with Artificial Earth Satellites
As gravity is a long-range force, one might a priori expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. At the post-Newtonian approximation, two parameters suffice to describe the phenomenology of preferred-frame effects. One of them has already been very ...
1993-11-29
2009-12-30
[ "gr-qc" ]
Thibault Damour and Gilles Esposito-Farese
gr-qc/9311033
B^F Theory and Flat Spacetimes
We propose a reduced constrained Hamiltonian formalism for the exactly soluble $B \wedge F$ theory of flat connections and closed two-forms over manifolds with topology $\Sigma^3 \times (0,1)$. The reduced phase space variables are the holonomies of a flat connection for loops which form a basis of the first homotopy g...
1993-11-26
2015-06-25
[ "gr-qc" ]
Henri Waelbroeck
gr-qc/9311032
Semi-Complex Analysis & Mathematical Physics (Corrected Version)
A theoretical framework based on a simple quasi-number algebra is investigated in a treatment of space-time and gravity.
1993-11-24
2008-02-03
[ "gr-qc" ]
F. Antonuccio
gr-qc/9311031
Coordinate transformations in Schwarzschild singularity problem
A systematic approach to the coordinate transformations in the Schwarzschild singularity problem is considered. It is shown that both singularities at r=0 and r=2m can be eliminated by suitable coordinate transformations.
1993-11-23
2008-02-03
[ "gr-qc" ]
Vu B Ho
gr-qc/9311030
A Kucha\v{r} Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields
The Kucha\v{r} canonical transformation for vacuum geometrodynamics in the presence of cylindrical symmetry is applied to a general non-vacuum case. The resulting constraints are highly non-linear and non-local in the momenta conjugate to the Kucha\v{r} embedding variables. However, it is demonstrated that the constrai...
1993-11-17
2009-10-22
[ "gr-qc", "hep-th" ]
Stephen P. Braham
gr-qc/9311029
Quantisation of 2+1 gravity for genus 2
In [1,2] we established and discussed the algebra of observables for $2+1$ gravity at both the classical and quantum level, and gave a systematic discussion of the reduction of the expected number of independent observables to $6g - 6 (g > 1)$. In this paper the algebra of observables for the case $g=2$ is reduced to a...
1993-11-17
2013-11-13
[ "gr-qc", "hep-th" ]
J.E.Nelson and T.Regge
gr-qc/9311028
Acoustic propagation in fluids: an unexpected example of Lorentzian geometry
It is a deceptively simple question to ask how acoustic disturbances propagate in a non--homogeneous flowing fluid. If the fluid is barotropic and inviscid, and the flow is irrotational (though it may have an arbitrary time dependence), then the equation of motion for the velocity potential describing a sound wave can ...
1993-11-16
2016-08-31
[ "gr-qc", "hep-th" ]
Matt Visser
gr-qc/9311027
Gravitational Field of a Moving Point Particle
The gravitational field of a moving point particle is obtained in a Lorentz covariant form for both uncharged and charged cases. It is shown that the general relativistic proper time interval at the location of the particle is the same as the special relativistic one and the gravitational and electromagnetic self force...
1993-11-16
2007-05-23
[ "gr-qc", "hep-th" ]
Jaegu Kim
gr-qc/9311026
van Vleck determinants: traversable wormhole spacetimes
Calculating the van Vleck determinant in traversable wormhole spacetimes is an important ingredient in understanding the physical basis behind Hawking's chronology protection conjecture. This paper presents extensive computations of this object --- at least in the short--throat flat--space approximation. An important t...
1993-11-15
2009-10-22
[ "gr-qc", "hep-th" ]
Matt Visser
gr-qc/9311025
Particle Production and Positive Energy Theorems for Charged Black Holes in deSitter
We study quantum mechanical and classical stability properties of Reissner-Nordstrom deSitter spacetimes, which describe black holes with mass $M$ and charge $Q$ in a background with cosmological constant $\Lambda \ge 0$. There are two sources of particle production in these spacetimes; the black hole horizon and the c...
1993-11-15
2009-10-22
[ "gr-qc" ]
David Kastor and Jennie Traschen
gr-qc/9311024
Junction Conditions of Friedmann-Robertson-Walker Space-Times
We complete a classification of junctions of two Friedmann-Robertson-Walker space-times bounded by a spherical thin wall. Our analysis covers super-horizon bubbles and thus complements the previous work of Berezin, Kuzumin and Tkachev. Contrary to sub-horizon bubbles, various topology types for super-horizon bubbles ar...
1993-11-15
2010-11-01
[ "gr-qc" ]
Nobuyuki Sakai and Kei-ichi Maeda
gr-qc/9311023
Tunnelling geometries II. Reduction methods for functional determinants
The reduction algorithms for functional determinants of differential operators on spacetime manifolds of different topological types are presented, which were recently used for the calculation of the no-boundary wavefunction and the partition function of tunnelling geometries in quantum gravity and cosmology.
1993-11-14
2009-10-22
[ "gr-qc" ]
A.O.Barvinsky
gr-qc/9311022
Tunnelling geometries I. Analyticity, unitarity and instantons in quantum cosmology
We present a theory of tunnelling geometries originating from the no-boundary quantum state of Hartle and Hawking. We reformulate the no-boundary wavefunction in the representation of true physical variables and calculate it in the one-loop approximation. For this purpose a special technique is developed, which reduces...
1993-11-14
2011-07-19
[ "gr-qc" ]
A.O.Barvinsky and A.Yu.Kamenshchik
gr-qc/9311019
A Real Polynomial Formulation of General Relativity in terms of Connections
I show in this letter that it is possible to construct a Hamiltonian description for Lorentzian General Relativity in terms of two real $SO(3)$ connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of General Relativity that keeps some of the intere...
1993-11-11
2017-03-24
[ "gr-qc" ]
J. Fernando Barbero
gr-qc/9311021
A completely solvable model with an infinite number of Dirac observables for a real sector of complexified Ashtekar gravity
We introduce a reduced model for a real sector of complexified Ashtekar gravity that does not correspond to a subset of Einstein's gravity but for which the programme of canonical quantization can be carried out completely, both, via the reduced phase space approach or along the lines of the algebraic quantization prog...
1993-11-11
2007-05-23
[ "gr-qc" ]
T. Thiemann
gr-qc/9311020
Reality Conditions for Lorentzian and Euclidean Gravity in the Ashtekar Formulation
Using Ashtekar variables, we analyze Lorentzian and Euclidean gravity in vacuum up to a constant conformal transformation. We prove that the reality conditions are invariant under a Wick rotation of the time, and show that the compatibility of the algebra of commutators and constraints with the involution defined by th...
1993-11-11
2009-10-22
[ "gr-qc" ]
Guillermo A. Mena Marugan
gr-qc/9311018
Wigner Functions in Curved Space-Time and Quantum Corrections to Thermal Equilibrium
A brief review of the Wigner functions method in curved space-time. Contribution to the 3rd International Wigner Symposium, 5th-11th September 1993, Oxford, UK.
1993-11-11
2007-05-23
[ "gr-qc" ]
Oleg A. Fonarev
gr-qc/9311017
What is the Geometry of Superspace ?
We investigate certain properties of the Wheeler-DeWitt metric (for constant lapse) in canonical General Relativity associated with its non-definite nature. Contribution to the conference on Mach's principle: "From Newtons Bucket to Quantum Gravity", July 26-30 1993, Tuebingen, Germany
1993-11-10
2010-11-01
[ "gr-qc" ]
Domenico Giulini
gr-qc/9311016
Quantum Bubble Dynamics in 2+1 Dimensional Gravity I: Geometrodynamic Approach
The Dirac quantization of a 2+1 dimensional bubble is performed. The bubble consists of a string forming a boundary between two regions of space-time with distinct geometries. The ADM constraints are solved and the coupling to the string is introduced through the boundary conditions. The wave functional is obtained and...
1993-11-09
2010-11-01
[ "gr-qc", "hep-th" ]
H. Zaidi, J. Gegenberg
gr-qc/9311015
A Clifford Dyadic Superfield from Bilateral Interactions of Geometric Multispin Dirac Theory
Multivector quantum mechanics utilizes wavefunctions which are Clifford aggregates (e.g. sum of scalar, vector, bivector). This is equivalent to multi- spinors constructed of Dirac matrices, with the representation independent form of the generators geometrically interpreted as the basis vectors of spacetime. Multiple ...
1993-11-09
2007-05-23
[ "gr-qc", "hep-th" ]
William Pezzaglia and Alfred Differ
gr-qc/9311011
Negative Energy Densities in Extended Sources Generating Closed Timelike Curves in General Relativity with and without Torsion
Near a spinning point particle in (2+1)-dimensional gravity (or near an infinitely thin, straight, spinning string in 3+1 dimensions) there is a region of space-time with closed timelike curves. Exact solutions for extended sources with apparently physically acceptable energy-momentum tensors, have produced the same ex...
1993-11-08
2010-11-01
[ "gr-qc" ]
Harald H. Soleng
gr-qc/9311012
Weakly decaying asymptotically flat static and stationary solutions to the Einstein equations
The assumption that a solution to the Einstein equations is static (or stationary) very strongly constrains the asymptotic behaviour of the metric. It is shown that one need only impose very weak differentiability and decay conditions {\it a priori} on the metric for the field equations to force the metric to be analyt...
1993-11-08
2010-04-06
[ "gr-qc" ]
Daniel Kennefick and Niall \'O Murchadha
gr-qc/9311014
First class constraints in Regge calculus
Considered are I class constraints in the tetrad-connection formulation of Regge calculus. One of these is well-known Gauss law which generates rotations in the local frames associated with tetrahedrons in the continuous time 3D section. Another two types of these are new, satisfied by definition of Regge manifold and ...
1993-11-08
2007-05-23
[ "gr-qc" ]
V.Khatsymovsky
gr-qc/9311013
Trapped surfaces in spherical expanding open universes
Consider spherically symmetric initial data for a cosmology which, in the large, approximates an open $k = -1 ,\Lambda = 0$ Friedmann-Lema{\^\i}tre universe. Further assume that the data is chosen so that the trace of the extrinsic curvature is a constant and that the matter field is at rest at this instant of time. On...
1993-11-08
2009-10-22
[ "gr-qc" ]
Uwe Brauer, Edward Malec and Niall \'O Murchadha
gr-qc/9311010
Representation Theory of Analytic Holonomy C* Algebras
Integral calculus on the space of gauge equivalent connections is developed. Loops, knots, links and graphs feature prominently in this description. The framework is well--suited for quantization of diffeomorphism invariant theories of connections. The general setting is provided by the abelian C* algebra of function...
1993-11-07
2016-08-31
[ "gr-qc", "alg-geom", "hep-th", "math.AG" ]
Abhay Ashtekar and Jerzy Lewandowski
gr-qc/9311007
Equivalent Quantisations of (2+1)-Dimensional Gravity
For spacetimes with the topology $\IR\!\times\!T^2$, the action of (2+1)-dimensional gravity with negative cosmological constant $\La$ is written uniquely in terms of the time-independent traces of holonomies around two intersecting noncontractible paths on $T^2$. The holonomy parameters are related to the moduli on sl...
1993-11-05
2010-04-28
[ "gr-qc", "hep-th" ]
S.Carlip and J.E.Nelson
gr-qc/9311008
The Black Holes of a General Two-Dimensional Dilaton Gravity Theory
A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory equivalent to vacuum planar General Relativity, the first order string theory, and ...
1993-11-05
2014-11-17
[ "gr-qc" ]
Jos\'e P. S. Lemos and Paulo M. S\'a
gr-qc/9311009
2+1 Gravity and Closed Time-Like Curves
In this paper we report some results obtained by applying the radial gauge to 2+1 dimensional gravity. The general features of this gauge are reviewed and it is shown how they allow the general solution of the problem in terms of simple quadratures. Then we concentrate on the general stationary problem providing the ex...
1993-11-05
2007-05-23
[ "gr-qc", "hep-th" ]
P. Menotti and D. Seminara
gr-qc/9311006
On Einstein's equations for spacetimes admitting a non-null Killing field
We consider the 3-dimensional formulation of Einstein's theory for spacetimes possessing a non-null Killing field $\xi^a$. It is known that for the vacuum case some of the basic field equations are deducible from the others. It will be shown here how this result can be generalized for the case of essentially arbitrary ...
1993-11-04
2016-08-31
[ "gr-qc" ]
Istvan Racz
gr-qc/9311005
On kinematical constraints in Regge calculus
In the (3+1)D Hamiltonian Regge calculus (one of the coordinates, $ t$, is continuous) conjugate variables are (defined on triangles of discrete 3D section $ t=const$) finite connections and antisymmetric area bivectors. The latter, however, are not independent, since triangles may have common edges. This circumstance ...
1993-11-04
2010-04-06
[ "gr-qc" ]
V.Khatsymovsky
gr-qc/9311004
The Hartle-Hawking state for the Bianchi IX model in supergravity
We solve the quantum constraints for homogeneous N=1 supergravity on 3-geometries with a Bianchi IX metric. Because these geometries admit Killing vectors with the same commutation relations as the angular momentum generators, there are two distinct definitions of homogeneity. The first of these is well-known and has b...
1993-11-04
2010-01-06
[ "gr-qc" ]
R. Graham and H. Luckock
gr-qc/9311003
Local Determination of the Light Deflection in the Sperically Symmetric Static Gravitational Field
The new method of invariant definition of the measurable angle of light deflection in the static central symmetric gravitational field is suggested. The predicted pure gravitational contribution to the deflection angle slightly differs from its classical estimate and one may hope that this discrepancy could be experime...
1993-11-02
2007-05-23
[ "gr-qc" ]
S.Tertychniy
gr-qc/9311002
Graviton Mode Function in Inflationary Cosmology
We consider the production of gravitons in an inflationary cosmology by approximating each epoch of change in the equation of state as sudden, from which a simple analytic graviton mode function has been derived. We use this mode function to compute the graviton spectral energy density and the tensor-induced cosmic mic...
1993-11-02
2009-10-22
[ "gr-qc", "astro-ph" ]
Kin-Wang Ng
gr-qc/9311001
On quantization of Regge links
In quantum Regge calculus areas of timelike triangles possess discrete spectrum. This is because bivectors of these triangles are variables canonically conjugate to orthogonal connection matrices varying in the compact group. (The scale of quantum of this spectrum is nothing but Plankian one). This is checked in simple...
1993-11-01
2009-10-22
[ "gr-qc" ]
V.Khatsymovsky
gr-qc/9310040
How to construct quantum measure in Regge calculus?
We propose the following way of constructing quantum measure in Regge calculus: the full discrete Regge manifold is made continuous in some direction by tending corresponding dimensions of simplices to zero, then functional integral measure corresponding to the canonical quantization (with continuous coordinate playing...
1993-10-29
2010-04-06
[ "gr-qc" ]
V.Khatsymovsky
gr-qc/9310041
The Two-Dimensional Analogue of General Relativity
General Relativity in three or more dimensions can be obtained by taking the limit $\omega\rightarrow\infty$ in the Brans-Dicke theory. In two dimensions General Relativity is an unacceptable theory. We show that the two-dimensional closest analogue of General Relativity is a theory that also arises in the limit $\omeg...
1993-10-29
2010-04-06
[ "gr-qc" ]
Jos\'e P. S. Lemos and Paulo M. S\'a
gr-qc/9310039
Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables
There is a gap that has been left open since the formulation of general relativity in terms of Ashtekar's new variables namely the treatment of asymptotically flat field configurations that are general enough to be able to define the generators of the Lorentz subgroup of the asymptotical Poincar\'e group. While such a ...
1993-10-29
2007-05-23
[ "gr-qc" ]
T. Thiemann
gr-qc/9310038
Quantum Limits for Measurements on Macroscopic Bodies : A Decoherence Analysis
We consider in this paper the quantum limits for measurements on macroscopic bodies which are obtained in a novel way employing the concept of decoherence coming from an analysis of the quantum mechanics of dissipative systems. Two cases are analysed, the free mass and the harmonic oscillator, and for both systems we c...
1993-10-27
2009-10-22
[ "gr-qc", "cond-mat", "hep-th" ]
Carlos O. Escobar, Lea Ferreira dos Santos, and Paulo C. Marques
gr-qc/9310036
A Step Toward Pregeometry I.: Ponzano-Regge Spin Networks and the Origin of Spacetime Structure in Four Dimensions
In this paper, a candidate for pregeometry, Ponzano-Regge spin networks, will be examined in the context of the pregeometric philosophy of Wheeler. Ponzano and Regge were able to construct a theory for 3-dimensional quantum gravity based on 3nj-symbols, obtaining the path integral over the metric in the semiclassical l...
1993-10-26
2009-09-25
[ "gr-qc", "hep-lat", "hep-th" ]
Norman J. LaFave
gr-qc/9310037
2-D Gravity as Gauge Theories with Extended Groups
The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant curvature, the relevant symmetry does not lead to the de Sitter or the Poincar\...
1993-10-26
2007-05-23
[ "gr-qc", "hep-th" ]
Daniel Cangemi
gr-qc/9310033
Comments on Dragging Effects
This is a reply, given at the conference ``Mach's Principle" in T\"ubingen in July 1993, to the paper by Pfister (1993). Unfortunately the Pfister paper itself was not sent to gr-qc.
1993-10-25
2009-09-25
[ "gr-qc" ]
Dieter R. Brill
gr-qc/9310034
Comments on Initial Value Formulation
This is the reply given at the conference ``Mach's Principle" at T\"ubingen in July 1993 to the paper by Isenberg (1993a). Unfortunately the Isenberg paper itself was not submitted to gr-qc.
1993-10-25
2007-05-23
[ "gr-qc" ]
Dieter R. Brill
gr-qc/9310032
Apparent wave function collapse caused by scattering
Some experimental implications of the recent progress on wave function collapse are calculated. Exact results are derived for the center-of-mass wave function collapse caused by random scatterings and applied to a range of specific examples. The results show that recently proposed experiments to measure the GRW effect ...
1993-10-25
2009-10-22
[ "gr-qc" ]
Max Tegmark
gr-qc/9310035
Vassiliev Invariants and the Loop States in Quantum Gravity
An exposition of Vassiliev invariants is given in terms of the simplest approach to the functional integral construction of link invariants from Chern-Simons theory. This approach gives the top row evaluations of Vassiliev invariants for the classical Lie algebras, and a neat point of view on the results of Bar-Natan. ...
1993-10-25
2007-05-23
[ "gr-qc" ]
Louis H. Kauffman
gr-qc/9310031
Prima Facie Questions in Quantum Gravity
The long history of the study of quantum gravity has thrown up a complex web of ideas and approaches. The aim of this article is to unravel this web a little by analysing some of the {\em prima facie\/} questions that can be asked of almost any approach to quantum gravity and whose answers assist in classifying the dif...
1993-10-22
2009-10-22
[ "gr-qc" ]
C.J.Isham
gr-qc/9310030
Can wormholes exist?
Renormalized vacuum expectation values of electromagnetic stress-energy tensor are calculated in the background spherically-symmetrical metric of the wormhole's topology. Covariant geodesic point separation method of regularization is used. Violation of the weak energy condition at the throat of wormhole takes place fo...
1993-10-21
2009-10-22
[ "gr-qc" ]
V.Khatsymovsky
gr-qc/9310029
Ramsey fringes in atomic interferometry: measurability of the influence of space-time curvature
The influence od space-time curvature on quantum matter which can be theoretically described by covariant wave equations has not been experimentally established yet. In this paper we analyse in detail the suitability of the Ramsey atom beam interferometer for the measurement of the phase shift caused by the Riemannian ...
1993-10-21
2009-10-22
[ "gr-qc" ]
J\"urgen Audretsch and Karl-Peter Marzlin
gr-qc/9310028
Inhomogenous Chaotic Inflation
A chaotic model of the early universe within the framework of the singularity-free solutions of Einstein's equation is suggested. The evolution of our universe at its early stage, starting out as a small domain of the parent universe, is governed by the dynamics of a classical scalar field $\phi$ . If in any such domai...
1993-10-20
2007-05-23
[ "gr-qc" ]
S.Mukherjee and N.K.Dadhich
gr-qc/9310027
Path Integrals, Density Matrices, and Information Flow with Closed Timelike Curves
Two formulations of quantum mechanics, inequivalent in the presence of closed timelike curves, are studied in the context of a soluable system. It illustrates how quantum field nonlinearities lead to a breakdown of unitarity, causality, and superposition using a path integral. Deutsch's density matrix approach is causa...
1993-10-19
2009-10-22
[ "gr-qc", "hep-th" ]
H. David Politzer
gr-qc/9310025
The Gauss Linking Number in Quantum Gravity
We show that the exponential of the Gauss (self) linking number of a knot is a solution of the Wheeler-DeWitt equation in loop space with a cosmological constant. Using this fact, it is straightforward to prove that the second coefficient of the Jones Polynomial is a solution of the Wheeler-DeWitt equation in loop spac...
1993-10-19
2007-05-23
[ "gr-qc" ]
R. Gambini, J. Pullin
gr-qc/9310026
Dimensional Reduction in Quantum Gravity
The requirement that physical phenomena associated with gravitational collapse should be duly reconciled with the postulates of quantum mechanics implies that at a Planckian scale our world is not 3+1 dimensional. Rather, the observable degrees of freedom can best be described as if they were Boolean variables defined ...
1993-10-19
2009-03-21
[ "gr-qc" ]
G. 't Hooft
gr-qc/9310024
Leading Quantum Correction to the Newtonian Potential
I argue that the leading quantum corrections, in powers of the energy or inverse powers of the distance, may be computed in quantum gravity through knowledge of only the low energy structure of the theory. As an example, I calculate the leading quantum corrections to the Newtonian gravitational potential.
1993-10-18
2009-10-22
[ "gr-qc", "hep-ph" ]
John F. Donoghue
gr-qc/9310022
Cosmology, Time's Arrow, and That Old Double Standard
It is widely accepted that temporal asymmetry is largely a cosmological problem; the task of explaining temporal asymmetry reduces in the main to that of explaining an aspect of the condition of the early universe. However, cosmologists who discuss these issues often make mistakes similar to those that plagued nineteen...
1993-10-15
2009-09-25
[ "gr-qc" ]
Huw Price
gr-qc/9310023
Entropy Production from Vacuum Decay
Using as dynamical variable the square of the radius of the Universe, we solve analytically the Einstein equations in the framework of Robertson-Walker models where a cosmological constant describing phenomenologically the vacuum energy decays into radiation. Emphasis is put on the computation of the entropy creation.
1993-10-15
2009-10-22
[ "gr-qc" ]
R. Brout and Ph. Spindel
gr-qc/9310021
Charged Black Holes In Quadratic Theories
We point out that in general the Reissner-Nordstr\"om (RN) charged black holes of general relativity are not solutions of the four dimensional quadratic gravitational theories. They are, e.g., exact solutions of the $R+R^2$ quadratic theory but not of a theory where a $R_{ab}R^{ab}$ term is present in the gravitational...
1993-10-14
2009-10-22
[ "gr-qc", "astro-ph" ]
A.Economou and C.O.Lousto
gr-qc/9310019
The Frenet Serret Description of Gyroscopic Precession
The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precessio...
1993-10-12
2008-11-26
[ "gr-qc" ]
B.R.Iyer and C.V.Vishveshwara
gr-qc/9310020
Solving the Hamilton-Jacobi Equation for General Relativity
We demonstrate a systematic method for solving the Hamilton-Jacobi equation for general relativity with the inclusion of matter fields. The generating functional is expanded in a series of spatial gradients. Each term is manifestly invariant under reparameterizations of the spatial coordinates (``gauge-invariant''). At...
1993-10-12
2010-11-01
[ "gr-qc" ]
J. Parry D. S. Salopek and J. M. Stewart
gr-qc/9310018
Space-time events and relativistic particle localization
A relation expressing the covariant transformation properties of a relativistic position operator is derived. This relation differs from the one existing in the literature expressing manifest covariance by some factor ordering. The relation is derived in order for the localization of a particle to represent a space-tim...
1993-10-11
2007-05-23
[ "gr-qc", "hep-th" ]
J. Mourad
gr-qc/9310015
Stability of Non-Abelian Black Holes
Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of non-trivial black holes. There exists a maximum point of the black hole entropy, where the stability of solutions changes. This criterion is universal, and the changes in stability fo...
1993-10-08
2009-10-22
[ "gr-qc", "hep-th" ]
K.Maeda, T.Tachizawa, T.Torii and T.Maki
gr-qc/9310016
Semi-Classical Limits of Simplicial Quantum Gravity
We consider the simplicial state-sum model of Ponzano and Regge as a path integral for quantum gravity in three dimensions. We examine the Lorentzian geometry of a single 3-simplex and of a simplicial manifold, and interpret an asymptotic formula for $6j$-symbols in terms of this geometry. This extends Ponzano and Re...
1993-10-08
2010-04-06
[ "gr-qc", "hep-th" ]
J.W. Barrett and T.J. Foxon
gr-qc/9310017
Stationary Axisymmetric Fields as Two-Dimensional Geodesics
Einstein's equations for stationary axisymmetric fields are reformulated as the equations for affine geodesics in a two--dimensional space. The affine collineations of this space are investigated and used to relate explicit solutions of Einstein's equations with different physical properties. Particularly, the solution...
1993-10-08
2007-05-23
[ "gr-qc" ]
D. Nunez, and H. Quevedo
gr-qc/9310012
Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
We show that the quantization of spherically symmetric pure gravity can be carried out completely in the framework of Ashtekar's self-dual representation. Consistent operator orderings can be given for the constraint functionals yielding two kinds of solutions for the constraint equations, corresponding classically to ...
1993-10-07
2009-07-09
[ "gr-qc" ]
T. Thiemann, H.A. Kastrup
gr-qc/9310014
The Constraints of 2+1 Quantum Gravity
To appear in proceedings of II Workshop on ``Constraints Theory and Quantisation Methods''Montepulciano (Siena) 1993} General discussion of the constraints of 2+1 gravity, with emphasis on two approaches, namely the second order and first order formalisms, and comparison with the four dimensional theory wherever poss...
1993-10-07
2007-05-23
[ "gr-qc", "hep-th" ]
J.E.Nelson
gr-qc/9310013
On the solution of the initial value constraints for general relativity coupled to matter in terms of Ashtekar's variables
The method of solution of the initial value constraints for pure canonical gravity in terms of Ashtekar's new canonical variables due to CDJ is further developed in the present paper. There are 2 new main results : 1) We extend the method of CDJ to arbitrary matter-coupling again for non-degenerate metrics : the new fe...
1993-10-07
2010-04-30
[ "gr-qc" ]
T. Thiemann
gr-qc/9310011
Cosmological Rotation of Quantum-Mechanical Origin and Anisotropy of the Microwave Background
It is shown that rotational cosmological perturbations can be generated in the early Universe, similarly to gravitational waves. The generating mechanism is quantum-mechanical in its nature, and the created perturbations should now be placed in squeezed vacuum quantum states. The physical conditions under which the phe...
1993-10-06
2010-11-19
[ "gr-qc" ]
L. P. Grishchuk
gr-qc/9310010
Local Position Invariance and Vacuum Energy Shifts
We discuss tests of the Einstein Equivalence Principle due to energies which are purely quantum mechanical in origin. In particular, we consider using Lamb Shift energies to test for possible quantum violations of Local Position Invariance. (to appear in the Proceedings of the 5th Canadian Conference on General Relativ...
1993-10-06
2008-02-03
[ "gr-qc", "hep-ph" ]
C. Alvarez and R.B. Mann
gr-qc/9310009
General Relativity as a Theory of Two Connections
We show in this paper that it is possible to formulate General Relativity in a phase space coordinatized by two $SO(3)$ connections. We analyze first the Husain-Kucha\v{r} model and find a two connection description for it. Introducing a suitable scalar constraint in this phase space we get a Hamiltonian formulation of...
1993-10-04
2017-03-24
[ "gr-qc" ]
J. Fernando Barbero
gr-qc/9310006
Black Hole Evaporation without Information Loss
An approach to black hole quantization is proposed wherein it is assumed that quantum coherence is preserved. A consequence of this is that the Penrose diagram describing gravitational collapse will show the same topological structure as flat Minkowski space. After giving our motivations for such a quantization procedu...
1993-10-04
2010-04-06
[ "gr-qc", "hep-th" ]
C.R. Stephens, G. 't Hooft and B.F. Whiting
gr-qc/9310007
Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy
The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational attraction, even though the gravitational mass of the quantum vacuum is negative. T...
1993-10-04
2010-11-01
[ "gr-qc" ]
H. H. Soleng
gr-qc/9310008
Scalar field quantization on the 2+1 dimensional black hole background
The quantization of a massless conformally coupled scalar field on the 2+1 dimensional Anti de Sitter black hole background is presented. The Green's function is calculated, using the fact that the black hole is Anti de Sitter space with points identified, and taking into account the fact that the black hole spacetime ...
1993-10-04
2009-09-25
[ "gr-qc", "hep-th" ]
G. Lifschytz and M. Ortiz
gr-qc/9310004
Regge calculus in the canonical form
(3+1) (continuous time) Regge calculus is reduced to Hamiltonian form. The constraints are classified, classical and quantum consequences are discussed. As basic variables connection matrices and antisymmetric area tensors are used supplemented with appropriate bilinear constraints. In these variables the action can be...
1993-10-03
2015-06-25
[ "gr-qc" ]
V. Khatsymovsky
gr-qc/9310003
Self-dual gravity as a two dimensional theory and conservation laws
Starting from the Ashtekar Hamiltonian variables for general relativity, the self-dual Einstein equations (SDE) may be rewritten as evolution equations for three divergence free vector fields given on a three dimensional surface with a fixed volume element. From this general form of the SDE, it is shown how they may ...
1993-10-03
2010-04-06
[ "gr-qc", "hep-th" ]
Viqar Husain
gr-qc/9310005
On polinomial formulations of general relativity
As basic variables in general relativity (GR) are chosen antisymmetric connection and bivectors - bilinear in tetrad area tensors subject to appropriate (bilinear) constraints. In canonical formalism we get theory with polinomial constraints some of which are II class. On partial resolving the latter we get another pol...
1993-10-03
2007-05-23
[ "gr-qc" ]
V. Khatsymovsky
gr-qc/9310002
Anti-Gravity Bounds and the Ricci Tensor
Recently Penrose, Sorkin and Woolgar have developed a new technique for proving the positive mass theorem in general relativity. We extend their result to produce a new inequality relating the mass, electric and scalar charges in theories coupling to a dilaton in the usual way. Using a five dimensional formalism, our r...
1993-10-01
2007-05-23
[ "gr-qc" ]
G.W. Gibbons, C.G. Wells
gr-qc/9310001
On a Quantum Universe Filled with Yang - Mills Radiation
We investigate the properties of a quantum Robertson - Walker universe described by the Wheeler -- DeWitt equation. The universe is filled with a quantum Yang -- Mills uniform field. This is then a quantum mini copy of the standard model of our universe. We discuss the interpretation of the Wheeler -- DeWitt wave funct...
1993-10-01
2011-08-17
[ "gr-qc" ]
Marco Cavaglia' and Vittorio de Alfaro
gr-qc/9309027
Einstein-Cartan theory of gravity revisited
The role of space-time torsion in general relativity is reviewed in accordance with some recent results on the subject. It is shown that, according to the connection compatibility condition, the usual Riemannian volume element is not appropriate in the presence of torsion. A new volume element is proposed and used in t...
1993-09-28
2007-05-23
[ "gr-qc" ]
Alberto Saa
gr-qc/9309026
Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
The Euclidean black hole has topology $\Re^2 \times {\cal S}^{d-2}$. It is shown that -in Einstein's theory- the deficit angle of a cusp at any point in $\Re^2$ and the area of the ${\cal S}^{d-2}$ are canonical conjugates. The black hole entropy emerges as the Euler class of a small disk centered at the horizon multip...
1993-09-25
2009-01-23
[ "gr-qc" ]
M\'aximo Ba\~nados, Claudio Teitelboim and Jorge Zanelli
gr-qc/9309025
Green's function for gravitational waves in FRW spacetimes
A method for calculating the retarded Green's function for the gravitational wave equation in Friedmann-Roberson-Walker spacetimes, within the formalism of linearized Einstein gravity is developed. Hadamard's general solution to Cauchy's problem for second-order, linear partial differential equations is applied to the ...
1993-09-24
2009-10-22
[ "gr-qc", "astro-ph" ]
R. R. Caldwell
gr-qc/9309024
Reality Conditions in Nonperturbative Quantum Cosmology
We carry out the nonperturbative canonical quantization of several types of cosmological models that have already been studied in the geometrodynamic formulation using the complex path-integral approach. We establish a relation between the choices of complex contours in the path integral and the sets of reality conditi...
1993-09-23
2010-04-06
[ "gr-qc" ]
Guillermo A. Mena Marugan
gr-qc/9309022
Nonlinear Evolution of Density Perturbations
: From the epoch of recombination $(z\approx 10^3)$ till today, the typical density contrasts have grown by a factor of about $10^6$ in a Friedmann universe with $\Omega=1$. However, during the same epoch the typical gravitational potential has grown only by a factor of order unity. We present theoretical arguments exp...
1993-09-23
2009-09-25
[ "gr-qc", "astro-ph" ]
J.S.Bagla and T.Padmanabhan
gr-qc/9309023
Non-Singular Constant Curvature Two-Dimensional Black Hole
We show that the two-dimensional theory of Teitelboim and Jackiw has a black hole solution, with two surprising properties: first, it has constant curvature, and second, is free of spacetime singularities. The maximally extended spacetime consists of an infinite chain of universes connected by timelike wormholes.
1993-09-23
2009-10-22
[ "gr-qc" ]
Jos\'e P. S. Lemos and Paulo M. S\'a
gr-qc/9309021
Early Direct Detection of Gravity Waves
Recently, the possibility has emerged of an early detection of astrophysical gravity waves. In certain astronomical configurations, and through a new light-deflection effect, gravity waves can cause apparent shifts in stellar angular positions as large as $10^{-7}arcsec$. In these same configurations, the magnitude of ...
1993-09-21
2007-05-23
[ "gr-qc", "astro-ph" ]
Redouane Fakir
gr-qc/9309020
Geometric Structures and Loop Variables in (2+1)-Dimensional Gravity
This paper is a review of the relationship between the metric formulation of (2+1)-dimensional gravity and the loop observables of Rovelli and Smolin. I emphasize the possibility of reconstructing the geometry, via the theory of geometric structures, from the values of the loop variables. I close with a brief discussio...
1993-09-21
2007-05-23
[ "gr-qc" ]
S. Carlip