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Brane cosmology with an anisotropic bulk

Abstract : 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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http://hal.in2p3.fr/in2p3-00025108
Contributor : Simone Lantz <>
Submitted on : Tuesday, November 22, 2005 - 2:46:33 PM
Last modification on : Wednesday, September 23, 2020 - 4:39:01 AM

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A. Fabbri, David Langlois, D.A. Steer, R. Zegers. Brane cosmology with an anisotropic bulk. Journal of High Energy Physics, Springer, 2004, 09, pp.025. ⟨10.1088/1126-6708/2004/09/025⟩. ⟨in2p3-00025108⟩

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