Brane Dynamics, the Polytropic Gas and Conformal Bulk Fields
High Energy Physics - Theory
2009-11-10 v2
Abstract
We consider in the Randall-Sundrum scenario the dynamics of a spherically symmetric 3-brane world when matter fields exist in the bulk. We determine exact 5-dimensional solutions which localize gravity near the brane and describe the dynamics of homogeneous polytropic matter on the brane. We show that these geometries are associated with a well defined conformal class of bulk matter fields. We analyze the effective polytropic dynamics on the brane identifying conditions which define it as singular or as globally regular.
Cite
@article{arxiv.hep-th/0304266,
title = {Brane Dynamics, the Polytropic Gas and Conformal Bulk Fields},
author = {Rui Neves and Cenalo Vaz},
journal= {arXiv preprint arXiv:hep-th/0304266},
year = {2009}
}
Comments
14 pages, latex, no figures. Some corrections introduced to clarify the analysis in the text. Revised version to appear in Phys. Lett. B