Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies

Details Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies

2000-07-31

arxiv.org/abs/hep-th/0007254v3

Phys.Rev. D64 (2001) 044017

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex2e. (v2): Constraints clarified, some added discussion and references. (v3): Final version: an appendix with so

Scientific paper

10.1103/PhysRevD.64.044017

We investigate constraints for including bulk and brane matter in the Randall- Sundrum model. In static configurations with two zero thickness branes, we find that no realistic brane matter is possible. We also consider the possibility that the radion has stabilized by dissipating its energy into the bulk in the form of some unspecified matter, and find the Randall-Sundrum cosmological solutions in the presence of bulk ideal fluid. We discover that the metric is necessarily in a static configuration. We also discover that there is only one allowed equation of state for the bulk fluid, $p=\rho $, corresponding to the stiff ideal fluid. We find the corresponding brane cosmologies and compare them with the Friedmann-Robertson-Walker model.

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