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Phys. Rev. D 69, 024002 (2004) [11 pages]

Covariant gravitational equations on a brane world with a Gauss-Bonnet term

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Kei-ichi Maeda
Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan;
Advanced Research Institute for Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan;
Waseda Institute for Astrophysics, Waseda University, Shinjuku, Tokyo 169-8555, Japan

Takashi Torii
Advanced Research Institute for Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan

Received 4 September 2003; published 13 January 2004

We present covariant gravitational equations to describe a four-dimensional brane world in the case with a Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the Z2 symmetric brane. It contains some components of the five-dimensional Weyl curvature (Eμν) 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.


©2004 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.69.024002
DOI: 10.1103/PhysRevD.69.024002
PACS: 04.50.+h, 98.80.-k

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