Brane Dynamics, the Polytropic Gas and Conformal Bulk Fields
arXiv:hep-th/0304266 · doi:10.1016/j.physletb.2003.06.003
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.
14 pages, latex, no figures. Some corrections introduced to clarify the analysis in the text. Revised version to appear in Phys. Lett. B
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