Conserved Quantities in Lemaitre-Tolman-Bondi Cosmology
Cosmology and Nongalactic Astrophysics
2015-06-19 v5
Abstract
We study linear perturbations to a Lema{\^\i}tre-Tolman-Bondi (LTB) background spacetime. Studying the transformation behaviour of the perturbations under gauge transformations, we construct gauge invariant quantities. We show, using the perturbed energy conservation equation, that there are conserved quantities in LTB, in particular a spatial metric trace perturbation, \zeta_{SMTP}, which is conserved on all scales. We then briefly extend our discussion to the Lema{\^\i}tre spacetime, and construct gauge-invariant perturbations in this extension of LTB spacetime.
Cite
@article{arxiv.1403.7661,
title = {Conserved Quantities in Lemaitre-Tolman-Bondi Cosmology},
author = {Alexander Leithes and Karim A. Malik},
journal= {arXiv preprint arXiv:1403.7661},
year = {2015}
}
Comments
16 pages, 0 figures, revtex4; v5: minor changes, additional 2+2 formalism appendix added, references added, version accepted by CQG