Showing 1995 · gr-qcShow all

19 papers · 2 filters

gr-qc1995★ 68 cited

The geometry of quantum spin networks

Roumen Borissov, Seth Major, Lee Smolin

The discrete picture of geometry arising from the loop representation of quantum gravity can be extended by a quantum deformation. The operators for area and volume defined in the…

gr-qc1995★ 103 cited

Quantum deformation of quantum gravity

Seth Major, Lee Smolin

We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is extended to framed loops. This allows an alternative nonperturbative quantizatio…

gr-qc1995

An account of transforms on \bar {{\cal A}/{\cal G}}

Thomas Thiemann

In this article we summarize and describe the recently found transforms for theories of connections modulo gauge transformations associated with compact gauge groups. Specifically,…

gr-qc1995★ 109 cited

Exact solutions for null fluid collapse

Viqar Husain

Exact non-static spherically symmetric solutions of the Einstein equations for a null fluid source with pressure and density related by are given. The metr…

gr-qc1995★ 10 cited

Minisuperspace Examples of Quantization Using Canonical Variables of the Ashtekar Type: Structure and Solutions

J. Fernando Barbero, Michael P. Ryan

The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quantum cosmology. We investigate the origin of these solutions in the context of a…

gr-qc1995★ 101 cited

Second order perturbations of a Schwarzschild black hole

Reinaldo Gleiser, Oscar Nicasio, Richard Price +1

We study the even-parity perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potenti…

gr-qc1995★ 6 cited

Quantization of Nonstandard Hamiltonian Systems

Alejandro Corichi, Michael P. Ryan

The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (ge…

gr-qc1995

Colliding black holes with linearized gravity

J. Pullin

We give a brief summary of results and ongoing research in the application of linearized theory to the study of black hole collisions in the limit in which the holes start close to…

gr-qc1995★ 4 cited

Homogeneous 2+1 Dimensional Gravity in the Ashtekar Formulation

J. Fernando Barbero, Madhavan Varadarajan

The constraint hypersurfaces defining the Witten and Ashtekar formulations for 2+1 gravity are very different. In particular the constraint hypersurface in the Ashtekar case is not…

gr-qc1995★ 111 cited

Head-on collision of two black holes: comparison of different approaches

Peter Anninos, Richard H. Price, Jorge Pullin +2

A benchmark problem for numerical relativity has been the head-on collision of two black holes starting from the ``Misner initial data,'' a closed form momentarily stationary solut…

gr-qc1995★ 26 cited

Cosmology as a Problem in Critical Phenomena

Lee Smolin

Several problems in cosmology and astrophysics are described in which critical phenomena of various types may play a role. These include the organization of the disks of spiral gal…

gr-qc1995★ 626 cited

Spin Networks and Quantum Gravity

Carlo Rovelli, Lee Smolin

We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation…

gr-qc1995★ 235 cited

Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity

Lee Smolin

Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature…

gr-qc1995★ 4 cited

A Modular Invariant Quantum Theory From the Connection Formulation of (2+1)-Gravity on the Torus

Peter Peldan

By choosing an unconventional polarization of the connection phase space in (2+1)-gravity on the torus, a modular invariant quantum theory is constructed. Unitary equivalence to th…

gr-qc1995★ 4 cited

Non-covariance of the generalized holonomies: Examples

Troy A. Schilling

A key aspect of a recent proposal for a {\em generalized loop representation} of quantum Yang-Mills theory and gravity is considered. Such a representation of the quantum theory ha…

gr-qc1995★ 24 cited

Self-dual variables, positive semi-definite action, and discrete transformations in four-dimensional quantum gravity

Chopin Soo

A positive semi-definite Euclidean action for arbitrary four-topologies can be constructed by adding appropriate Yang-Mills and topological terms to the Samuel-Jacobson-Smolin acti…

gr-qc1995★ 525 cited

Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf +2

Quantization of diffeomorphism invariant theories of connections is studied. A solutions of the diffeomorphism constraints is found. The space of solutions is equipped with an inne…

gr-qc1995★ 14 cited

The space of states of quantum gravity in terms of loops and extended loops: some remarks

Cayetano Di Bartolo, Rodolfo Gambini, Jorge Griego +1

This article reviews the status of several solutions to all the constraints of quantum gravity that have been proposed in terms of loops and extended loops. We discuss pitfalls of…

gr-qc1995★ 16 cited

Large Diffeomorphisms in (2+1)-Quantum Gravity on the Torus

Peter Peldan

The issue of how to deal with the modular transformations -- large diffeomorphisms -- in (2+1)-quantum gravity on the torus is discussed. I study the Chern-Simons/connection repres…