TY - JOUR

T1 - Covariant gravitational equations on a brane world with a Gauss-Bonnet term

AU - Maeda, Kei Ichi

AU - Torii, Takashi

PY - 2004/1/13

Y1 - 2004/1/13

N2 - 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 [Formula Presented] symmetric brane. It contains some components of the five-dimensional Weyl curvature [Formula Presented] 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.

AB - 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 [Formula Presented] symmetric brane. It contains some components of the five-dimensional Weyl curvature [Formula Presented] 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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U2 - 10.1103/PhysRevD.69.024002

DO - 10.1103/PhysRevD.69.024002

M3 - Article

AN - SCOPUS:1342325320

VL - 69

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

ER -