Brane cosmology with an anisotropic bulk

Details Brane cosmology with an anisotropic bulk Brane cosmology with an anisotropic bulk

2004-07-29

arxiv.org/abs/hep-th/0407262v1

JHEP 0409:025,2004

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure

Scientific paper

10.1088/1126-6708/2004/09/025

In the context of brane cosmology, a scenario where our universe is a 3+1-dimensional surface (the ``brane'') embedded in a five-dimensional spacetime (the ``bulk''), we study geometries for which the brane is anisotropic - more specifically Bianchi I - though still homogeneous. We first obtain explicit vacuum bulk solutions with anisotropic three-dimensional spatial slices. The bulk is assumed to be empty but endowed with a negative cosmological constant. We then embed Z_2-symmetric branes in the anisotropic spacetimes and discuss the constraints on the brane energy-momentum tensor due to the five-dimensional anisotropic geometry. We show that if the bulk is static, an anisotropic brane cannot support a perfect fluid. However, we find that for some of our bulk solutions it is possible to embed a brane with a perfect fluid though its energy density and pressure are completely determined by the bulk geometry.

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