Isotropy and Stability of the Brane
High Energy Physics - Phenomenology
2009-11-07 v2 Astrophysics
General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-ph/0103112,
title = {Isotropy and Stability of the Brane},
author = {M. G. Santos and F. Vernizzi and P. G. Ferreira},
journal= {arXiv preprint arXiv:hep-ph/0103112},
year = {2009}
}
Comments
8 pages, 2 figures, corrected some typos and title