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Title: Classical and quantum Lemaitre-Tolman-Bondi model for the nonmarginal case

Abstract

We extend the classical and quantum treatment of the Lemaitre-Tolman-Bondi (LTB) model to the nonmarginal case (defined by the fact that the shells of the dust cloud start with a nonvanishing velocity at infinity). We present the classical canonical formalism and address with particular care the boundary terms in the action. We give the general relation between dust time and Killing time. Employing a lattice regularization, we then derive and discuss for particular factor orderings exact solutions to all quantum constraints.

Authors:
; ;  [1];  [2];  [3]
  1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne (Germany) and Max-Planck-Institut fuer Gravitationsphysik, Am Muehlenberg 1, 14476 Golm (Germany)
  2. (Germany)
  3. (United States)
Publication Date:
OSTI Identifier:
20776763
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044025; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMIC DUST; COSMOLOGY; EXACT SOLUTIONS; MATHEMATICAL MODELS; QUANTUM GRAVITY; VELOCITY

Citation Formats

Kiefer, Claus, Mueller-Hill, Jakob, Vaz, Cenalo, Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne, and Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011. Classical and quantum Lemaitre-Tolman-Bondi model for the nonmarginal case. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.044025.
Kiefer, Claus, Mueller-Hill, Jakob, Vaz, Cenalo, Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne, & Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011. Classical and quantum Lemaitre-Tolman-Bondi model for the nonmarginal case. United States. doi:10.1103/PhysRevD.73.044025.
Kiefer, Claus, Mueller-Hill, Jakob, Vaz, Cenalo, Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne, and Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011. Wed . "Classical and quantum Lemaitre-Tolman-Bondi model for the nonmarginal case". United States. doi:10.1103/PhysRevD.73.044025.
@article{osti_20776763,
title = {Classical and quantum Lemaitre-Tolman-Bondi model for the nonmarginal case},
author = {Kiefer, Claus and Mueller-Hill, Jakob and Vaz, Cenalo and Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne and Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011},
abstractNote = {We extend the classical and quantum treatment of the Lemaitre-Tolman-Bondi (LTB) model to the nonmarginal case (defined by the fact that the shells of the dust cloud start with a nonvanishing velocity at infinity). We present the classical canonical formalism and address with particular care the boundary terms in the action. We give the general relation between dust time and Killing time. Employing a lattice regularization, we then derive and discuss for particular factor orderings exact solutions to all quantum constraints.},
doi = {10.1103/PhysRevD.73.044025},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}