Generalized Cosmological Equations for a Thick Brane

Mathematics – Logic

Scientific paper

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Scientific paper

We obtain the generalized cosmological equations for a thick brane immersed in a five-dimensional Schwarzschild Anti-de Sitter spacetime. It turns out that, at late times, one can naturally recover the standard cosmological evolution on the core of the thick brane without the need for splitting the brane energy-momentum tensor into a constant background part called the brane tension and a time dependent matter contribution. Particularly our results show that an accelerating brane cosmology emerges at late times provided there is either a negative transverse pressure component in the brane energy-momentum tensor or a positive effective cosmological constant.

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