Classical and quantum LTB model for the non-marginal case
General Relativity and Quantum Cosmology
2009-10-05 v2 High Energy Physics - Theory
Abstract
We extend the classical and quantum treatment of the Lemaitre-Tolman-Bondi (LTB) model to the non-marginal case (defined by the fact that the shells of the dust cloud start with a non-vanishing 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.
Cite
@article{arxiv.gr-qc/0512047,
title = {Classical and quantum LTB model for the non-marginal case},
author = {Claus Kiefer and Jakob Mueller-Hill and Cenalo Vaz},
journal= {arXiv preprint arXiv:gr-qc/0512047},
year = {2009}
}
Comments
23 pages, no figures, typos corrected