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arXiv · hep-ph/0103112

Isotropy and Stability of the Brane

M. G. Santos·F. Vernizzi·P. G. Ferreira
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Abstract

We reexamine Wald's no-hair theorem for global anisotropy in the brane world scenarios. We derive a set of sufficient conditions which must be satisfied by the brane matter and bulk metric so that a homogeneous and anisotropic brane asymptotically evolves to a de Sitter spacetime in the presence of a positive cosmological constant on the brane. We discuss the violations of these sufficient conditions and we show that a negative nonlocal energy density or the presence of strong anisotropic stress (i.e., a magnetic field) may lead the brane to collapse. We discuss the generality of these conditions.

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M. G. Santos, F. Vernizzi, P. G. Ferreira. 2001-09-03. Isotropy and Stability of the Brane. https://doi.org/10.1103/physrevd.64.063506

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