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gr-qc/9408013
Spin Networks, Turaev-Viro Theory and the Loop Representation
We investigate the Ponzano-Regge and Turaev-Viro topological field theories using spin networks and their $q$-deformed analogues. I propose a new description of the state space for the Turaev-Viro theory in terms of skein space, to which $q$-spin networks belong, and give a similar description of the Ponzano-Regge stat...
1994-08-10
2010-04-06
[ "gr-qc", "hep-th" ]
Timothy J. Foxon
gr-qc/9408014
Affine projection tensor geometry: Lie derivatives and isometries
The generalized projection-tensor geometry introduced in an earlier paper is extended. A compact notation for families of projected objects is introduced and used to summarize the results of the previous paper and obtain fully projected decompositions of Lie derivatives of the projection tensor field, the metric and th...
1994-08-10
2009-10-22
[ "gr-qc" ]
Robert H. Gowdy
gr-qc/9408012
General Relativistic Scalar Field Models in the Large
For a class of scalar fields including the massless Klein-Gordon field the general relativistic hyperboloidal initial value problems are equivalent in a certain sense. By using this equivalence and conformal techniques it is proven that the hyperboloidal initial value problem for those scalar fields has an unique solut...
1994-08-10
2009-10-22
[ "gr-qc" ]
Peter Huebner
gr-qc/9408011
Can the Interaction between Baby Universes Generate a Big Universe?
We explore a simple toy model of interacting universes to establish that a small baby universe could become large ($\gg$ Planck length) if a third quantization mechanism is taken into account.
1994-08-09
2009-10-22
[ "gr-qc" ]
Marco Cavaglia`
gr-qc/9408010
Nontrivial Dynamics in the Early Stages of Inflation
Inflationary cosmologies, regarded as dynamical systems, have rather simple asymptotic behavior, insofar as the cosmic baldness principle holds. Nevertheless, in the early stages of an inflationary process, the dynamical behavior may be very complex. In this paper, we show how even a simple inflationary scenario, based...
1994-08-05
2009-10-22
[ "gr-qc" ]
E. Calzetta and C. El Hasi
gr-qc/9408009
Analysis of the Non-singular Wyman-Schwarzschild Metric
The analog of the Schwarzschild metric is explored in the context of Non-Singular Gravity. Analytic results are developed describing redshifts, curvatures and topological features of the spacetime. All curvatures and redshifts are finite so there are no Black Holes, no singularities and no Hawking radiation.
1994-08-05
2015-06-25
[ "gr-qc" ]
Neil Cornish
gr-qc/9408008
Hamiltonian reduction of Bianchi Cosmologies
It was noted recently that the ADM-diffeomorphism-constraint does not generate all observed symmetries for several Bianchi-models. We will suggest not to use the ADM-constraint restricted to homogeneous variables, but some equivalent which is derived from a restricted action principle. This will generate all homogeneit...
1994-08-04
2010-04-06
[ "gr-qc" ]
J. Schirmer
gr-qc/9408007
Independent Loop Invariants for 2+1 Gravity
We identify an explicit set of complete and independent Wilson loop invariants for 2+1 gravity on a three-manifold $M=\R\times\Sigma^g$, with $\Sigma^g$ a compact oriented Riemann surface of arbitrary genus $g$. In the derivation we make use of a global cross section of the $PSU(1,1)$-principal bundle over Teichm\"ulle...
1994-08-03
2010-04-06
[ "gr-qc" ]
R. Loll
gr-qc/9408005
The Black Hole History in Tamed Vacuum
Quantum physics at scales large compared to the Planck scale is described in the framework of classical space-time geometries. A criterion for selecting these backgrounds out of quantized gravity is proposed. It leads to an instability of the black-hole geometry, as experienced by motion across the horizon, against emi...
1994-08-03
2009-09-25
[ "gr-qc", "hep-th" ]
F.Englert
gr-qc/9408006
Finite Magnetic Flux Tube as a Black & White Dihole
A finite-length magnetic vortex line solution is derived within the context of (4-dim) dilaton gravity. We approach the Bonnor metric at the Einstein-Maxwell limit, and encounter the "flux tube as (Euclidean) Kerr horizon" at the Kaluza-Klein level. Exclusively for string theory, the magnetic flux tube world-sheet exhi...
1994-08-03
2009-10-22
[ "gr-qc", "hep-th" ]
Aharon Davidson and Eduard Gedalin
gr-qc/9408002
Gravitational Energy in Spherical Symmetry
Various properties of the Misner-Sharp spherically symmetric gravitational energy E are established or reviewed. In the Newtonian limit of a perfect fluid, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential energy to the next order. For test particles, the corresponding Hajicek energy ...
1994-08-02
2009-10-22
[ "gr-qc" ]
Sean A. Hayward
gr-qc/9408003
Self-Interaction Correction to Black Hole Radiance
We consider the modification of the formulas for black hole radiation, due to the self-gravitation of the radiation. This is done by truncating the coupled particle-hole system to a small set of modes, that are plausibly the most significant ones, and quantizing the reduced system. In this way we find that the particle...
1994-08-02
2008-11-26
[ "gr-qc", "hep-th" ]
Per Kraus and Frank Wilczek
gr-qc/9408004
Dynamics of inhomogeneities of metric in the vicinity of a singularity in multidimensional cosmology authors
The problem of construction of a general ihomogeneous solution of $D$-dimensional Einstein equations in the vicinity of a cosmological singularity is considered. It is shown that near the singularity a local behavior of metric functions is described by a billiard on a space of a constant negative curvature. The billiar...
1994-08-01
2010-11-01
[ "gr-qc" ]
A.A. Kirillov, V.N. Melnikov
gr-qc/9408001
On the Nature of Singularities in Plane Symmetric Scalar Field Cosmologies
The nature of the initial singularity in spatially compact plane symmetric scalar field cosmologies is investigated. It is shown that this singularity is crushing and velocity dominated and that the Kretschmann scalar diverges uniformly as it is approached. The last fact means in particular that a maximal globally hype...
1994-08-01
2010-11-01
[ "gr-qc" ]
Alan D. Rendall
gr-qc/9407042
Simultaneous Hamiltonian Treatment of Class A Spacetimes and Reduction of Degrees of Freedom at the Quantum Level
We consider the quantization of a general spatially homogeneous space-time belonging to an arbitrary but fixed Class A Bianchi type. Exploiting the information furnished by the quantum version of the momentum constraints, we use as variables the two simplest contractions of $C^{\alpha}_{\beta \gamma}$ and $\gamma_{\alp...
1994-07-28
2011-07-19
[ "gr-qc", "hep-th" ]
T.Christodoulakis, E.Korfiatis, E.C. Vagenas
gr-qc/9407041
A New Method of Generating Exact Inflationary Solutions
The mechanism of the initial inflation of the universe is based on gravitationally coupled scalar fields $\phi$. Various scenarios are distinguished by the choice of an {\it effective self--interaction potential} $U(\phi)$ which simulates a {\it temporarily} non--vanishing {\em cosmological term}. Using the Hubble expa...
1994-07-27
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
Franz E. Schunck and Eckehard W. Mielke
gr-qc/9407040
A Review of the Decoherent Histories Approach to Quantum Mechanics
I review the decoherent (or consistent) histories approach to quantum mechanics, due to Griffiths, to Gell-Mann and Hartle, and to Omnes. This is an approach to standard quantum theory specifically designed to apply to genuinely closed systems, up to and including the entire universe. It does not depend on an assumed s...
1994-07-27
2011-04-15
[ "gr-qc", "cond-mat" ]
J.J.Halliwell
gr-qc/9407039
Generalized Uncertainty Relations and Long Time Limits for Quantum Brownian Motion Models
We study the time evolution of the reduced Wigner function for a class of quantum Brownian motion models. We derive two generalized uncertainty relations. The first consists of a sharp lower bound on the uncertainty function, $U = (\Delta p)^2 (\Delta q)^2 $, after evolution for time $t$ in the presence of an environme...
1994-07-26
2011-08-11
[ "gr-qc", "cond-mat" ]
C.Anastopoulos and J.J.Halliwell
gr-qc/9407038
Applications of a New Proposal for Solving the "Problem of Time" to Some Simple Quantum Cosmological Models
We apply a recent proposal for defining states and observables in quantum gravity to simple models. First, we consider a Klein-Gordon particle in an ex- ternal potential in Minkowski space and compare our proposal to the theory ob- tained by deparametrizing with respect to a time slicing prior to quantiza- tion. We sho...
1994-07-26
2009-10-22
[ "gr-qc" ]
A. Higuchi and R.M. Wald
gr-qc/9407037
Wormhole Effects on Yang-Mills Theory
In this paper wormhole effects on $SO(3)$ YM theory are examined. The wormhole wave functions for the scalar, the vector and the tensor expansion modes are computed assuming a small gauge coupling which leads to an effective decoupling of gravity and YM theory. These results are used to determine the wormhole vertices ...
1994-07-25
2010-11-01
[ "gr-qc" ]
A. Lukas
gr-qc/9407036
Cosmological Sphaleron from Real Tunneling and Its Fate
We show that the cosmological sphaleron of Einstein-Yang-Mills system can be produced from real tunneling geometries. The sphaleron will tend to roll down to the vacuum or pure gauge field configuration, when the universe evolves in the Lorentzian signature region with the sphaleron and the corresponding hypersurface b...
1994-07-25
2009-10-22
[ "gr-qc" ]
Shuxue Ding (Tokyo Institute of Technology)
gr-qc/9407034
Functional Approach to Stochastic Inflation
We propose functional approach to the stochastic inflationary universe dynamics. It is based on path integral representation of the solution to the differential equation for the scalar field probability distribution. In the saddle-point approximation scalar field probability distributions of various type are derived an...
1994-07-22
2010-01-15
[ "gr-qc", "hep-th" ]
Yuri V. Shtanov (Bogolyubov Institute, Kiev, Ukraine and Brown University, Providence, RI)
gr-qc/9407035
A Comparison of Two Quantization Procedures for Lineal Gravity
We consider two programs for quantizing gravity in $1+1$ dimensions, which have appeared in the literature: one using a gauge--theoretic approach and the other following a more conventional ``geometric'' approach. We compare the wave functionals produced by the two different programs by finding matrix elements between ...
1994-07-22
2009-10-22
[ "gr-qc" ]
Eric Benedict
gr-qc/9407032
Gravity as a Higgs Field. II.Fermion-Gravitation Complex
Gravitation theory meets spontaneous symmetry breaking when the structure group of the principal linear frame bundle $LX$ over a world manifold $X^4$ is reducible to the Lorentz group $SO(3,1)$. The physical underlying reason of this reduction is Dirac fermion matter possessing only exact Lorentz symmetries. The associ...
1994-07-22
2007-05-23
[ "gr-qc" ]
G.Sardanashvily
gr-qc/9407029
Wormhole Solutions in the Kantowski--Sachs Spacetime
I present quantum wormhole solutions in the Kantowski--Sachs spacetime generated from coupling the gravitational field to the axion and EM fields. These solutions correspond to the classical ones found by Keay and Laflamme and by Cavagli\`a et al.
1994-07-21
2015-06-25
[ "gr-qc", "hep-th" ]
Marco Cavagli\`a
gr-qc/9407030
Quantum Electromagnetic Wormholes and Geometrical Description of the Electric Charge
I present and discuss a class of solutions of the Wheeler-de Witt equation describing wormholes generated by coupling of gravity to the electromagnetic field for Kantowski-Sachs and Bianchi I spacetimes. Since the electric charge can be viewed as electric lines of force trapped in a finite region of spacetime, these so...
1994-07-21
2009-10-22
[ "gr-qc", "hep-th" ]
Marco Cavagli\`a
gr-qc/9407033
Extra Dimensions and Possible Space-Time Signature Changes
Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the Maxwell field potential having two nonzero components: the temporal, Coulomb-like one a...
1994-07-21
2011-08-17
[ "gr-qc" ]
K.A. Bronnikov
gr-qc/9407031
Yang--Mills Configurations from 3D Riemann--Cartan Geometry
Recently, the {\it spacelike} part of the $SU(2)$ Yang--Mills equations has been identified with geometrical objects of a three--dimensional space of constant Riemann--Cartan curvature. We give a concise derivation of this Ashtekar type (``inverse Kaluza--Klein") {\it mapping} by employing a $(3+1)$--decomposition of {...
1994-07-21
2009-10-22
[ "gr-qc", "hep-th" ]
E.W. Mielke, Y.N. Obukhov, and F.W. Hehl
gr-qc/9407024
Two-Dimensional Black Holes and Planar General Relativity
The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory admits black holes and free dilatons, and has a structure similar to two-dimensi...
1994-07-20
2010-04-06
[ "gr-qc" ]
Jose' P. S. Lemos
gr-qc/9407027
Fully Electrified Neugebauer Spacetimes
Generalizing a method presented in an earlier paper, we express the complex potentials E and Phi of all stationary axisymmetric electrovac spacetimes that correspond to axis data of the form E(z,0) = (U-W)/(U+W) , Phi(z,0) = V/(U+W) , where U = z^{2} + U_{1} z + U_{2} , V = V_{1} z + V_{2} , W = W_{1} z + W_{2} , in te...
1994-07-20
2009-10-22
[ "gr-qc" ]
Frederick J. Ernst
gr-qc/9407026
Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis
We express the complex potential E and the metrical fields omega and gamma of all stationary axisymmetric vacuum spacetimes that result from the application of two successive quadruple-Neugebauer (or two double-Harrison) transformations to Minkowski space in terms of data specified on the symmetry axis, which are in tu...
1994-07-20
2009-10-22
[ "gr-qc" ]
Frederick J. Ernst
gr-qc/9407025
Decoherence of Homogeneous and Isotropic Geometries in the Presence of Massive Vector Fields
Decoherence of Friedmann-Robertson-Walker (FRW) geometries due to massive vector fields with $SO(3)$ global symmetry is discussed in the context of Quantum Cosmology. (Talk presented at the 3rd National Meeting of Astronomy and Astrophysics, July 1993, IST, Lisboa, Portugal. -- A more complete version will be presented...
1994-07-20
2007-05-23
[ "gr-qc" ]
O. Bertolami and P.V. Moniz
gr-qc/9407028
Billiard Representation for Multidimensional Cosmology with Multicomponent Perfect Fluid near the Singularity
The multidimensional cosmological model describing the evolution of $n$ Einstein spaces in the presence of multicomponent perfect fluid 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 $(n-1)$-dimensional ...
1994-07-19
2010-04-06
[ "gr-qc" ]
V. D. Ivashchuk and V. N. Melnikov
gr-qc/9407023
Closed Form Expression for the Momentum Radiated from Cosmic String Loops
We modify the recent analytic formula given by Allen and Casper for the rate at which piecewise linear cosmic string loops lose energy to gravitational radiation to yield the analogous analytic formula for the rate at which loops radiate momentum. The resulting formula (which is exact when the effects of gravitational ...
1994-07-19
2009-10-22
[ "gr-qc", "astro-ph" ]
Bruce Allen, Paul Casper, and Adrian Ottewill
gr-qc/9407022
A Note on Hartle-Hawking Vacua
The purpose of this note is to establish the basic properties--- regularity at the horizon, time independence, and thermality--- of the generalized Hartle-Hawking vacua defined in static spacetimes with bifurcate Killing horizon admitting a regular Euclidean section. These states, for free or interacting fields, are de...
1994-07-19
2010-01-06
[ "gr-qc", "hep-th" ]
Ted Jacobson
gr-qc/9407021
Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
We derive the global properties of static spherically symmetric solutions to the Einstein-Maxwell-dilaton system in the presence of an arbitrary exponential dilaton potential. We show that -- with the exception of a pure cosmological constant `potential' -- no asymptotically flat, asymptotically de Sitter or asymptotic...
1994-07-16
2014-11-17
[ "gr-qc", "hep-th" ]
S.J. Poletti and D.L. Wiltshire
gr-qc/9407020
Slicing, Threading & Parametric Manifolds
We present a unified treatment of the slicing (3+1) and threading (1+3) decompositions of spacetime in terms of foliations. It is well-known how to decompose the metric and connection in the slicing picture; this is at the heart of any initial-value problem in general relativity. We describe here the analogous problem ...
1994-07-15
2009-10-22
[ "gr-qc" ]
Stuart Boersma and Tevian Dray
gr-qc/9407018
A Note on the Symmetries of the Gravitational Field of a Massless Particle
It is shown that the metric of a massless particle obtained from boosting the Schwarzschild metric to the velocity of light, has four Killing vectors corresponding to an $E(2)\times \RR$ symmetry-group. This is in agreement with the expectations based on flat-space kinematics but is in contrast to previous statements i...
1994-07-15
2010-04-06
[ "gr-qc" ]
P.C.Aichelburg and H.Balasin
gr-qc/9407016
Horizon quantization and thermodynamics of the 2+1 black hole
We test on the 2+1 dimensional black hole the quantization method that we have previously proposed in four dimensions. While in the latter case the horizon dynamics is described, at the effective level, by the action of a relativistic membrane, in the 2+1 case it is described by a string. We show that this approach rep...
1994-07-14
2007-05-23
[ "gr-qc" ]
Michele Maggiore
gr-qc/9407019
Multidimensional Cosmology with Multicomponent Perfect Fluid and Toda Lattices
The integration procedure for multidimensional cosmological models with multicomponent perfect fluid in spaces of constant curvature is developed. Reduction of pseudo-Euclidean Toda-like systems to the Euclidean ones is done. Some known solutions are singled out from those obtained. The existence of the wormholes is pr...
1994-07-14
2015-06-25
[ "gr-qc" ]
V.R. Gavrilov, V. D. Ivashchuk and V. N. Melnikov
gr-qc/9407017
Linear Bimetric Gravitation Theory
A general bimetric theory of gravitation is described as a linear in the second approximation. This is allowed due to the small experimental significance of the higher order terms. Solar System tests are satisfied. The theory allows black holes, which are physical singularities. The predicted black hole radius is equal...
1994-07-14
2007-05-23
[ "gr-qc" ]
N. Ionescu-Pallas, M.I. Piso, S. Onofrei
gr-qc/9407015
Simplicial Euclidean Relativistic Lagrangian
The paths on the {\bf R$^3$} real Euclidean manifold are defined as 2-dimensional simplicial strips; points are replaced by 2-simplexes and the orbits of the action of a one discrete-parameter group on the base manifold becomes a convex polyhedron attached to a 2-dimensional simplicial complex. The Lagrangian of a movi...
1994-07-13
2009-09-25
[ "gr-qc", "hep-th" ]
Marius. I. Piso
gr-qc/9407013
Gravity Balls
The existence of non trivial, non topological solutions in a class of induced, effective gravity models arising out of a non minimally coupled scalar field is established. We shall call such solutions ``Gravity Balls'' as the effective gravitational constant inside the soliton differs from its effective value outside.
1994-07-13
2009-09-25
[ "gr-qc" ]
Daksh Lohia
gr-qc/9407014
Non - Topological Solitons in non-minimally coupled Scalar fields: Theory and consequences
In theories of gravitation in which dimensional parameters are dynamically induced, one can have non - topological - soliton solutions. This article reviews related topics connected with such solutions. The existence of such solutions in curved spacetime can give rise to halos of gravity (g-) balls with gravitational `...
1994-07-13
2009-09-25
[ "gr-qc" ]
Daksh Lohia
gr-qc/9407009
Instability Proof for Einstein-Yang-Mills Solitons with Arbitrary Gauge Groups
We prove that static, spherically symmetric, asymptotically flat, regular 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.
1994-07-12
2007-05-23
[ "gr-qc" ]
Othmar Brodbeck and Norbert Straumann
gr-qc/9407012
Parametric Manifolds II: Intrinsic Approach
A parametric manifold is a manifold on which all tensor fields depend on an additional parameter, such as time, together with a parametric structure, namely a given (parametric) 1-form field. Such a manifold admits natural generalizations of Lie differentiation, exterior differentiation, and covariant differentiation, ...
1994-07-12
2009-10-22
[ "gr-qc", "dg-ga", "math.DG" ]
Stuart Boersma and Tevian Dray
gr-qc/9407010
Four Dimensional Conformal Gravity, Confinement, and Galactic Rotation Curves
We review the current status and prospects for the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. We examine how it is possible in principle to replace the Einstein theory at all while r...
1994-07-12
2009-09-25
[ "gr-qc", "astro-ph", "hep-th" ]
Philip D. Mannheim (University of Connecticut)
gr-qc/9407011
Parametric Manifolds I: Extrinsic Approach
A parametric manifold can be viewed as the manifold of orbits of a (regular) foliation of a manifold by means of a family of curves. If the foliation is hypersurface orthogonal, the parametric manifold is equivalent to the 1-parameter family of hypersurfaces orthogonal to the curves, each of which inherits a metric and...
1994-07-12
2009-10-22
[ "gr-qc", "dg-ga", "math.DG" ]
Stuart Boersma and Tevian Dray
gr-qc/9407007
Exact Solutions for Cosmological Perturbations with Collisionless Matter
All regular and singular cosmological perturbations in a radiation dominated Einstein-de Sitter Universe with collisionless particles can be found by a generalized power series ansatz. Talk given at "Birth of the Universe and Fundamental Physics", May 1994 (Rome).
1994-07-11
2009-10-22
[ "gr-qc", "astro-ph" ]
Dominik J. Schwarz
gr-qc/9407008
On Variational Principles for Gravitating Perfect Fluids
The connection is established between two different action principles for perfect fluids in the context of general relativity. For one of these actions, $S$, the fluid four--velocity is expressed as a sum of products of scalar fields and their gradients (the velocity--potential representation). For the other action, ${...
1994-07-11
2008-02-03
[ "gr-qc" ]
J. David Brown
gr-qc/9407006
Extended Geometry of Black Holes
We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The extension appears as an infinite covering of standard Kruskal space-time. While the tw...
1994-07-08
2010-04-06
[ "gr-qc", "hep-th" ]
K. Peeters, C. Schweigert and J.W. van Holten
gr-qc/9407004
A Quadratic Spinor Lagrangian for General Relativity
We present a new finite action for Einstein gravity in which the Lagrangian is quadratic in the covariant derivative of a spinor field. Via a new spinor-curvature identity, it is related to the standard Einstein-Hilbert Lagrangian by a total differential term. The corresponding Hamiltonian, like the one associated with...
1994-07-06
2010-11-01
[ "gr-qc" ]
James M. Nester and Roh Suan Tung
gr-qc/9407003
Generation of Electro and Magneto Static Solutions of the Scalar-Tensor Theories of Gravity
The field equations of the scalar-tensor theories of gravitation are presented in different representations, related to each other by conformal transformations of the metric. One of the representations resembles the Jordan-Brans-Dicke theory, and is the starting point for the generation of exact electrostatic and magne...
1994-07-05
2007-05-23
[ "gr-qc" ]
William Bruckman
gr-qc/9407005
A Class of Quasi-Stationary Regular Line Elements for the Schwarzschild Geometry
A one-fold infinity of explicit quasi-stationary regular line elements for the Schwarzschild geometry is obtained directly from the vacuum Einstein equations. The class includes the familiar Eddington-Finkelstein coordinates, and the coordinates discussed recently by Kraus and Wilczek.
1994-07-05
2007-05-23
[ "gr-qc" ]
Kayll Lake
gr-qc/9407002
Too Soon for Doom Gloom?
The observation that we are among the first 10^{11} or so humans reduces the prior probability that we find ourselves in a species whose total lifetime number of individuals is much higher, according to arguments of Carter, Leslie, Nielsen, and Gott. However, if we instead start with a prior probability that a history ...
1994-07-04
2012-12-24
[ "gr-qc" ]
Tomas Kopf, Pavel Krtous, and Don N. Page
gr-qc/9407001
Cat States and Single Runs for the Damped Harmonic Oscillator
We discuss the fate of initial states of the cat type for the damped harmonic oscillator, mostly employing a linear version of the stochastic Schr\"odinger equation. We also comment on how such cat states might be prepared and on the relation of single realizations of the noise to single runs of experiments.
1994-07-04
2009-10-22
[ "gr-qc" ]
Peter Goetsch, Robert Graham, Fritz Haake
gr-qc/9406054
Preferred Basis in a Measurement Process
The effect of decoherence is analysed for a free particle, interacting with an environment via a dissipative coupling. The interaction between the particle and the environment occurs by a coupling of the position operator of the particle with the environmental degrees of freedom. By examining the exact solution of the ...
1994-06-30
2009-10-22
[ "gr-qc", "cond-mat" ]
Anu Venugopalan
gr-qc/9406053
Topology Change in Classical General Relativity
This paper clarifies some aspects of Lorentzian topology change, and it extends to a wider class of spacetimes previous results of Geroch and Tipler that show that topology change is only to be had at a price. The scenarios studied here are ones in which an initial spacelike surface is joined by a connected ``interpola...
1994-06-30
2007-05-23
[ "gr-qc" ]
Arvind Borde
gr-qc/9406052
Classical solutions of gravitating Chern-Simons electrodynamics
We discuss the reduction of gravitating Chern-Simons electrodynamics with two commuting Killing vectors to a dynamical problem with four degrees of freedom, and present regular particle-like solutions.
1994-06-29
2007-05-23
[ "gr-qc", "hep-th" ]
Gerard Clement
gr-qc/9406046
Energy-Momentum Complex in M\o ller's Tetrad Theory of Gravitation
M\o ller's Tetrad Theory of Gravitation is examined with regard to the energy-momentum complex. The energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived. M\o ller's field equations are solved in the case of spherical symmetry. Two different solutions, giving rise to the sa...
1994-06-28
2008-11-26
[ "gr-qc" ]
F. I. Mikhail, M. I. Wanas, Ahmed Hindawi, and E. I. Lashin
gr-qc/9406049
Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
The phenomenon of mass inflation is shown to occur for a rotating black hole. We demonstrate this feature in $(2+1)$ dimensions by extending the charged spinning BTZ black hole to Vaidya form. We find that the mass function diverges in a manner quantitatively similar to its static counterparts in $(3+1)$, $(2+1)$ and $...
1994-06-28
2016-08-31
[ "gr-qc", "hep-th" ]
J.S.F. Chan, K.C.K. Chan and R.B. Mann
gr-qc/9406047
Quantization of Bianchi Models in N=1 Supergravity with a Cosmological Constant
We study the quantization of some cosmological models within the theory of N=1 supergravity with a positive cosmological constant. We find, by imposing the supersymmetry and Lorentz constraints, that there are no physical states in the models we have considered. For the k=1 Friedmann-Robertson-Walker model, where the f...
1994-06-28
2011-04-15
[ "gr-qc" ]
A.D.Y. Cheng, P.D. D'Eath and P.R.L.V. Moniz
gr-qc/9406048
Quantization of a Locally Supersymmetric Friedmann Model with Supermatter
The general theory of N = 1 supergravity with supermatter is studied using a canonical approach. The supersymmetry and gauge constraint generators are found. The framework is applied to the study of a Friedmann minisuperspace model. We consider a Friedmann k = + 1 geometry and a family of spin-0 as well as spin-1 gauge...
1994-06-28
2011-04-15
[ "gr-qc" ]
A.D.Y. Cheng, P.D. D'Eath and P.R.L.V. Moniz
gr-qc/9406051
On description of spatial topologies in quantum gravity
A new approach is suggested which allows to describe phenomenologically arbitrary topologies of the Universe. It consists in a generalizaton of third quantization. This quantization is carried out for the case of asymptotic closeness to a cosmological singularity. It is also pointed out that suggested approach leads to...
1994-06-27
2007-05-23
[ "gr-qc" ]
A.A. Kirillov
gr-qc/9406050
Multitemporal generalization of Schwarzschild solution
The $n$-time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the extended objects described by the solution are suggested. The scalar-vacuum generalization of the solution is also presented.
1994-06-27
2009-10-22
[ "gr-qc" ]
Vladimir D. Ivashchuk and Vitaly N. Melnikov
gr-qc/9406045
Hypertime Formalism for Spherically Symmetric Black Holes and Wormholes
Recent work on an approach to the geometrodynamics of cylindrical gravity waves in the presence of interacting scalar matter fields, based on the Kucha\v{r} hypertime formalism, is extended to the analogous spherically symmetric system. This produces a geometrodynamical formalism for spherical black holes and wormholes...
1994-06-27
2010-11-01
[ "gr-qc", "hep-th" ]
Stephen P. Braham
gr-qc/9406044
Fundamental Constants and the Problem of Time
We point out that for a large class of parametrized theories, there is a constant in the constrained Hamiltonian which drops out of the classical equations of motion in configuration space. Examples include the mass of a relativistic particle in free fall, the tension of the Nambu string, and Newton's constant for the ...
1994-06-24
2009-10-22
[ "gr-qc", "hep-th" ]
A. Carlini and J. Greensite
gr-qc/9406043
The Geometry of classical change of signature
The proposal of the possibility of change of signature in quantum cosmology has led to the study of this phenomenon in classical general relativity theory, where there has been some controversy about what is and is not possible. We here present a new analysis of such a change of signature, based on previous studies of ...
1994-06-23
2014-11-17
[ "gr-qc" ]
M.Carfora, G.F.R.Ellis
gr-qc/9406042
A Simple Stationary Line Element for the Schwarzschild Geometry, and Some Applications
Guided by a Hamiltonian treatment of spherically symmetric geometry, we find a remarkably simple -- stationary, but not static -- form for the line element of Schwarzschild (and Reissner-Nordstrom) geometry. The line element continues smoothly through the horizon; by exploiting this feature we are able to give a very s...
1994-06-23
2009-09-25
[ "gr-qc", "hep-th" ]
Per Kraus and Frank Wilczek
gr-qc/9406041
Comments on "Objectification of classical properties induced by quantum vacuum fluctuations"
We argue that in standard quantum electrodynamics radiative corrections do not lead to decoherence of unexcited atomic systems. The proposal of Santos relies upon deliberate switching on and off the vacuum interactions.
1994-06-23
2011-08-04
[ "gr-qc" ]
Lajos Di\'osi
gr-qc/9406038
An analytical expression for the third coefficient of the Jones Polynomial
An analytical expression for the third coefficient of the Jones Polynomial $P_J[\gamma,\, {\em e}^q]$ in the variable $q$ is reported. Applications of the result in Quantum Gravity are considered.
1994-06-22
2009-10-22
[ "gr-qc" ]
C. Di Bartolo and J. Griego
gr-qc/9406040
A Striking Property of the Gravitational Hamiltonian
{\sl A Hamiltonian framework for 2+1 dimensional gravity coupled with matter (satisfying positive energy conditions) is considered in the asymptotically flat context. It is shown that the total energy of the system is non-negative, vanishing if and only if space-time is (globally) Minkowskian. Furthermore, contrary to ...
1994-06-22
2011-04-15
[ "gr-qc" ]
Abhay Ashtekar and Madhavan Varadarajan
gr-qc/9406039
The Extended Loop Representation of Quantum Gravity
A new representation of Quantum Gravity is developed. This formulation is based on an extension of the group of loops. The enlarged group, that we call the Extended Loop Group, behaves locally as an infinite dimensional Lie group. Quantum Gravity can be realized on the state space of extended loop dependent wavefunctio...
1994-06-22
2009-10-22
[ "gr-qc" ]
C. Di Bartolo, R. Gambini and J. Griego
gr-qc/9406033
Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
General laws of black-hole dynamics, some of which are analogous to the laws of thermodynamics, have recently been found for a general definition of black hole in terms of a future outer trapping horizon, a hypersurface foliated by marginal surfaces of a certain type. This theory is translated here into spin-coefficien...
1994-06-21
2010-04-06
[ "gr-qc" ]
Sean A. Hayward
gr-qc/9406035
A reinterpretation of the Taub singularity
We reinterpret the well known Taub-singularity in terms of a cylinder symmetric geometry. It is shown that a cylindrical analog to the Einstein-Rosen bridge as well as a cosmic string will be present in the geometry.
1994-06-21
2016-08-14
[ "gr-qc" ]
Bjorn Jensen and Jarom\'ir Ku\v{c}era
gr-qc/9406037
Why the Entropy of a Black Hole is $A/4$?
A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy $S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2)$, where $A_H$ is the area of a black hole surface and $l_{\,\mbox{\scriptsize{P}}}$ is the Planck length. Recent attempts to connect this entropy with dynamical degrees of fre...
1994-06-21
2011-05-05
[ "gr-qc" ]
Valeri P.Frolov
gr-qc/9406036
A Cosmological No-Hair Theorem
A generalisation of Price's theorem is given for application to Inflationary Cosmologies. Namely, we show that on a Schwarzschild--de Sitter background there are no static solutions to the wave or gravitational perturbation equations for modes with angular momentum greater than their intrinsic spin.
1994-06-21
2009-10-22
[ "gr-qc" ]
Chris M. Chambers and Ian G. Moss
gr-qc/9406034
Uniqueness of the non-singular family and characterisation of cosmological models
We prove that for an orthogonal spacetime metric separable in space and time in comoving coordinates, the requirements of perfect fluid and non-singularity single out the unique family of singularity free cosmological models. Further homogeneous models could only be Bianchi I or FLRW while inhomogeneous ones can be wit...
1994-06-21
2008-02-03
[ "gr-qc" ]
Naresh Dadhich and L.K. Patel
gr-qc/9406031
Quantum Geometrodynamics I: Quantum-Driven Many-Fingered Time
The classical theory of gravity predicts its own demise -- singularities. We therefore attempt to quantize gravitation, and present here a new approach to the quantization of gravity wherein the concept of time is derived by imposing the constraints as expectation-value equations over the true dynamical degrees of free...
1994-06-20
2010-11-01
[ "gr-qc" ]
Arkady Kheyfets and Warner A. Miller
gr-qc/9406032
Spin Dynamics of the LAGEOS Satellite in Support of a Measurement of the Earth's Gravitomagnetism
LAGEOS is an accurately-tracked, dense spherical satellite covered with 426 retroreflectors. The tracking accuracy is such as to yield a medium term (years to decades) inertial reference frame determined via relatively inexpensive observations. This frame is used as an adjunct to the more difficult and data intensive V...
1994-06-20
2011-09-09
[ "gr-qc" ]
Salman Habib, Daniel E. Holz, Arkady Kheyfets, Richard A. Matzner, Warner A. Miller and Brian W. Tolman
gr-qc/9406029
Spacetime alternatives in relativistic particle motion
One of the reasons we expect a standard quantum mechanics, which predicts probabilities for alternatives defined on spacelike slices, to be inadequate for quantum gravity is that the notion of ``spacelike'' is ill-defined in a theory where the metric itself is behaving quantum-mechanically. Spacetime coarse grainings--...
1994-06-17
2009-10-22
[ "gr-qc" ]
John T. Whelan
gr-qc/9406030
Integrable Weyl Geometry in Multidimensional Cosmology. Numerical Investigation
The evolution of 4-dimensional and (4+d)-dimensional (d=1,2) cosmological models based on the integrable Weyl geometry are considered numerically both for empty space-time and for scalar field with non minimal coupling with gravity.
1994-06-17
2011-07-19
[ "gr-qc" ]
V. N. Melnikov, M. Yu. Konstantinov
gr-qc/9406028
A Neglected Route to Realism About Quantum Mechanics
Bell's Theorem assumes that hidden variables are not influenced by future measurement settings. The assumption has sometimes been questioned, but the suggestion has been thought outlandish, even by the taxed standards of the discipline. (Bell thought that it led to fatalism.) The case for this reaction turns out to be ...
1994-06-17
2010-02-23
[ "gr-qc" ]
Huw Price
gr-qc/9406027
Quantization of Field Theories Generalizing Gravity-Yang-Mills Systems on the Cylinder
Pure gravity and gauge theories in two dimensions are shown to be special cases of a much more general class of field theories each of which is characterized by a Poisson structure on a finite dimensional target space. A general scheme for the quantization of these theories is formulated. Explicit examples are studied ...
1994-06-16
2009-10-22
[ "gr-qc" ]
P.Schaller and T.Strobl
gr-qc/9406023
Invariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary
The {\em abstract boundary\/} (or {\em {\em a\/}-boundary\/}) of Scott and Szekeres \cite{Scott94} constitutes a ``boundary'' to any $n$-dimensional, paracompact, connected, Hausdorff, $C^\infty$-manifold (without a boundary in the usual sense). In general relativity one deals with a {\em space-% time\/} $(\cM,g)$ (a 4...
1994-06-16
2008-02-03
[ "gr-qc" ]
Christopher J. Fama and Susan M. Scott
gr-qc/9406024
Stability of the Black Hole Horizon and the Landau Ghost
The stability of the black hole horizon is demanded by both cosmic censorship and the generalized second law of thermodynamics. We test the consistency of these principles by attempting to exceed the black hole extremality condition in various process in which a U(1) charge is added to a nearly extreme Reissner--Nordst...
1994-06-16
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
Jacob D. Bekenstein and Carl Rosenzweig
gr-qc/9406025
Topological Measure and Graph-Differential Geometry on the Quotient Space of Connections
(This is a report for the Proceedings of ``Journees Relativistes 1993'' written in September 1993. Containes a short description of the results published elsewhere in the joint paper with A. Ashtekar) Integral calculus on the space of gauge equivalent connections is developed. By carring out a non-linear generalization...
1994-06-16
2011-04-15
[ "gr-qc" ]
Jerzy Lewandowski
gr-qc/9406026
Differential Geometry for the Space of Connections Modulo Gauge Transformations
(This short article is a continuation of a longer, review work, in the same volume of Proceedings, by Ashtekar, Marolf and Mour\~ao [gr-qc/9403042]. All the details and other results are to be found in joint papers of the author with Abhay Ashtekar.) The projective limit technics derived for spaces of connections are e...
1994-06-16
2007-05-23
[ "gr-qc" ]
Jerzy lewandowski
gr-qc/9406022
Testing Scalar-Tensor Gravity with Gravitational-Wave Observations of Inspiralling Compact Binaries
Observations of gravitational waves from inspiralling compact binaries using laser-interferometric detectors can provide accurate measures of parameters of the source. They can also constrain alternative gravitation theories. We analyse inspiralling compact %binaries in the context of the scalar-tensor theory of Jordan...
1994-06-15
2009-10-22
[ "gr-qc" ]
Clifford M. Will
gr-qc/9406021
Mass inflation in (1+1)-dimensional Dilaton Gravity
We investigate the phenomenon of mass inflation in two-dimensional dilaton theories of gravity. We consider two distinct black hole spacetimes and construct the mass-inflation solution for each. Our analysis is extended to include multi-horizon spacetimes. We find that the mass function diverges in a manner quantitativ...
1994-06-14
2009-10-22
[ "gr-qc" ]
J.S.F. Chan and R.B. Mann
gr-qc/9406019
Von Neumann Algebra Automorphisms and Time-Thermodynamics Relation in General Covariant Quantum Theories
We consider the cluster of problems raised by the relation between the notion of time, gravitational theory, quantum theory and thermodynamics; in particular, we address the problem of relating the "timelessness" of the hypothetical fundamental general covariant quantum field theory with the "evidence" of the flow of t...
1994-06-14
2010-04-06
[ "gr-qc" ]
A. Connes and C. Rovelli
gr-qc/9406020
Quantum State During and after $O(4)$-Symmetric Bubble Nucleation with Gravitaional Effects
We extend our previous analysis of the quantum state during and after $O(4)$-symmetric bubble nucleation to the case including gravitational effects. We find that there exists a simple relationship between the case with and without gravitational effects. In a special case of a conformally coupled scalar field which is ...
1994-06-14
2009-10-09
[ "gr-qc" ]
Takahiro TANAKA and Misao SASAKI
gr-qc/9406018
On the Stability of Gravitating Nonabelian Monopoles
The behaviour of magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations subject to linear spherically symmetric perturbations is studied. Using Jacobi's criterion some of the monopoles are shown to be unstable. Furthermore the numerical results and analytical considerations indicate the existence of a s...
1994-06-13
2010-11-01
[ "gr-qc" ]
Helia Hollmann
gr-qc/9406017
S^1 \times S^2 as a bag membrane and its Einstein-Weyl geometry
In the hybrid skyrmion in which an Anti-de Sitter bag is imbedded into the skyrmion configuration a S^{1}\times S^{2} membrane is lying on the compactified spatial infinity of the bag [H. Rosu, Nuovo Cimento B 108, 313 (1993)]. The connection between the quark degrees of freedom and the mesonic ones is made through the...
1994-06-09
2011-07-19
[ "gr-qc" ]
H.C. Rosu
gr-qc/9406014
Eigenvalues of the Weyl operator as observables of general relativity
We consider the eigenvalues of the three-dimensional Weyl operator defined in terms of the (Euclidean) Ashtekar variables, and we study their dependence on the gravitational field. We notice that these eigenvalues can be used as gravitational variables, and derive explicit formulas for their Poisson brackets and their ...
1994-06-08
2010-04-06
[ "gr-qc" ]
Roberto De Pietri & Carlo Rovelli
gr-qc/9406013
Non-Abelian Black Holes and Catastrophe Theory I : Neutral Type
We re-analyze the globally neutral non-Abelian black holes and present a unified picture, classifying them into two types; Type I (black holes with massless non-Abelian field) and Type II (black holes with ``massive" non-Abelian field). For the Type II, there are two branches: The black hole in the high-entropy branch ...
1994-06-08
2009-10-22
[ "gr-qc" ]
Takashi Torii, Kei-ichi Maeda and Takashi Tachizawa
gr-qc/9406015
The Classification of Decoherence Functionals: An Analogue of Gleason's Theorem
Gell-Mann and Hartle have proposed a significant generalisation of quantum theory with a scheme whose basic ingredients are `histories' and decoherence functionals. Within this scheme it is natural to identify the space $\UP$ of propositions about histories with an orthoalgebra or lattice. This raises the important pro...
1994-06-08
2009-10-22
[ "gr-qc", "hep-th" ]
Chris Isham, Noah Linden & Stefan Schreckenberg
gr-qc/9406016
Energy Theorem for 2+1 dimensional gravity
We prove a positive energy theorem in 2+1 dimensional gravity for open universes and any matter energy-momentum tensor satisfying the dominant energy condition. We consider on the space-like initial value surface a family of widening Wilson loops and show that the energy-momentum of the enclosed subsystem is a future d...
1994-06-08
2009-10-22
[ "gr-qc", "hep-th" ]
P. Menotti and D. Seminara
gr-qc/9406011
The Constraint of a General Effective Potential in Vector Torsion Coupled Conformally Induced Gravity
It is found that the deviation of an effective potential from the quartic form is related to the metric and vector torsion dependencies of the effective potential in the vector torsion coupled conformally induced gravity.
1994-06-07
2009-10-22
[ "gr-qc", "hep-th" ]
Jewan Kim, C. J. Park and Yongsung Yoon
gr-qc/9406012
Hawking-like effects and Unruh-like effects: toward experiments ?
The Hawking effect and the Unruh effect are two of the most important predictions in the theoretical physics of the last quarter of the 20th century. In parallel to the theoretical investigations there is great interest in the possibility of revealing effects of this type in some sort of experiments. I present a genera...
1994-06-06
2008-02-03
[ "gr-qc" ]
H.C. Rosu