Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
Abstract
We extend the covariant analysis of the brane cosmological evolution in order to take into account, apart from a general matter content and an induced-gravity term on the brane, a Gauss-Bonnet term in the bulk. The gravitational effect of the bulk matter on the brane evolution can be described in terms of the total bulk mass as measured by a bulk observer at the location of the brane. This mass appears in the effective Friedmann equation through a term characterized as generalized dark radiation that induces mirage effects in the evolution. We discuss the normal and self-accelerating branches of the combined system. We also derive the Raychaudhuri equation that can be used in order to determine if the cosmological evolution is accelerating.
Cite
@article{arxiv.0708.0469,
title = {Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk},
author = {Pantelis S. Apostolopoulos and Nikolaos Brouzakis and Nikolaos Tetradis and Eleftheria Tzavara},
journal= {arXiv preprint arXiv:0708.0469},
year = {2008}
}
Comments
12 pages, no figures, RevTex 4.0; (v2) new references are added; (v3,v4) minor changes, acknowledgment is included; to appear in Phys. Rev. D