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arXiv · hep-th/0106022

Cosmological Solutions on Compactified AdS_5 with a Thermal Bulk

I. Z. Rothstein
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Abstract

This paper is an investigation of the effects of a thermal bulk fluid in brane world models compactified on AdS_5. Our primary purpose is to study how such a fluid changes the bulk dynamics and to compare these effects with those generated by matter localized to the branes. We find an exact cosmological solution for a thermally excited massless bulk field, as well as perturbative solutions with matter on the brane and in the bulk. We then perturb around these solutions to find solutions for a massive bulk mode in the limit where the bulk mass (m_B) is small compared to the AdS curvature scale and T< m_B. We find that without a stabilizing potential there are no physical solutions for a thermal bulk fluid. We then include a stabilizing potential and calculate the shift in the radion as well as the time dependence of the weak scale as a function of the bulk mass. It is shown that, as opposed to a brane fluid, the bulk fluid contribution to the bulk dynamics is controlled by the bulk mass.

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I. Z. Rothstein. 2001-06-04. Cosmological Solutions on Compactified AdS_5 with a Thermal Bulk. https://doi.org/10.1103/physrevd.64.084024

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