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

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

2002-09-09

arxiv.org/abs/hep-th/0209076v3

Phys.Lett.B562:118-126,2003

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, published version

Scientific paper

10.1016/S0370-2693(03)00555-0

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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