Brane Cosmology in an Arbitrary Number of Dimensions
N. Chatillon, C. Macesanu, M. Trodden
Abstract
We derive the effective cosmological equations for a non-Z2 symmetric codimension one brane embedded in an arbitrary D-dimensional bulk spacetime, generalizing the D=5,6 cases much studied previously. As a particular case, this may be considered as a regularized codimension (D-4) brane avoiding the problem of curvature divergence on the brane. We apply our results to the case of spherical symmetry around the brane and to partly compactified AdS-Schwarzschild bulks.
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