Brane Cosmology in an Arbitrary Number of Dimensions

Abstract

We derive the effective cosmological equations for a non-${\mathbb{Z}}_2$ 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.

23 pages

References in corpus (2)

• Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
• Dark Energy as a Modification of the Friedmann Equation

Cited by in corpus (6)

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• Modified Friedmann Equation and Inflation in Warped Codimension-two Braneworld
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• Bulk black hole, escaping photons, and bounds on violations of Lorentz invariance
• Cosmological Kaluza-Klein branes in black brane spacetimes