Conservation equation on braneworlds in six dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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References added, minor changes, 3 pages, RevTeX, to app. in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/22/9/L02

We study braneworlds in six-dimensional Einstein-Gauss-Bonnet gravity. The Gauss-Bonnet term is crucial for the equations to be well-posed in six dimensions when non-trivial matter on the brane is included (the also involved induced gravity term is not significant for their structure), and the matching conditions of the braneworld are known. We show that the energy-momentum of the brane is always conserved, independently of any regular bulk energy-momentum tensor, contrary to the situation of the five-dimensional case.

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