Phys. Rev. D 69, 024002 (2004) [11 pages]Covariant gravitational equations on a brane world with a Gauss-Bonnet termReceived 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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