Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe

Abstract

Assuming an Einstein-Gauss-Bonnet theory of gravitation in a ($D\ge 5$)-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 eq. of a 3-brane, understood as the non-orientable boundary of a 5d spacetime. We briefly discuss the contradictory conclusions of the literature.

8 pages, published version

Cited by in corpus (110)

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• Higher order gravity theories and their black hole solutions
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• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
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• Gravitational collapse in braneworld models with curvature corrections
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• A Novel Derivation of the Boundary Term for the Action in Lanczos-Lovelock Gravity
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• Cosmology of intersecting brane world models in Gauss-Bonnet gravity
• New type of phase transition in gravitational theories
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• Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
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• Tachyon and Quintessence Brane-World Universe
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