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arXiv · hep-th/0209076

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

Elias Gravanis·Steven Willison
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Abstract

Assuming an Einstein-Gauss-Bonnet theory of gravitation in a ($D \geq 5$)-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.

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Elias Gravanis, Steven Willison. 2003-08-05. Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe. https://doi.org/10.1016/s0370-2693(03)00555-0

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