Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
Journal
Physics Letters B
Date Issued
June 5, 2003
Author(s)
DOI
10.1016/S0370-2693(03)00555-0
Abstract
Assuming an Einstein-Gauss-Bonnet theory of gravitation in a (D > 5)-dimensional spacetime with boundary, we consider the problem of the boundary dynamics given the matter Lagrangian on it. The resulting equation is applied, in particular, on the derivation of the Friedmann equation of a 3-brane, understood as the non-orientable boundary of a 5d spacetime. We briefly discuss the contradictory conclusions of the literature. © 2003 Published by Elsevier Science B.V.
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