Covariant Gravitational Equations on Brane World with Gauss-Bonnet term

Details Covariant Gravitational Equations on Brane World with Gauss-Bonnet term Covariant Gravitational Equations on Brane World with Gauss-Bonnet term

2003-09-16

arxiv.org/abs/hep-th/0309152v1

Phys.Rev. D69 (2004) 024002

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figure

Scientific paper

10.1103/PhysRevD.69.024002

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some components of five-dimensional Weyl curvature ($E_{\mu\nu}$) which describes all effects from the bulk spacetime just as in the case of the Randall-Sundrum second model. Applying this formalism to cosmology, we derive the generalized Friedmann equation and calculate the Weyl curvature term, which is directly obtained from a black hole solution.

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