Brane-World charges

Details Brane-World charges Brane-World charges

2000-10-12

arxiv.org/abs/hep-th/0010098v2

Class.Quant.Grav. 18 (2001) 1577

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTex. Minor errors corrected and references added. Final version to appear in Class. Qu. Grav

Scientific paper

10.1088/0264-9381/18/8/313

As opposed to usual Einstein gravity in four dimensions, the Brane-World scenario allows the construction of a local density of gravitational energy (and also of momentum, of angular momentum, etc...). This is a direct consequence of the hypothesis that our universe is located at the boundary of a five-dimensional diffeomorphism invariant manifold. We compute these Brane-World densities of charge using the Lanczos-Israel boundary conditions. To proceed, we implement an explicitely covariant generalization of the Hamiltonian procedure of Regge and Teitelboim given in a previous work. We finally study two simple Brane-World examples.

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