2003/09/16 by Kei-ichi Maeda, Takashi Torii · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.69.024002
published as Phys.Rev. D69 (2004) 024002 · 14 pages, no figure
arxiv created 2003/09/16 · openalex publication_date 2004/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 (E_\ensuremathμ\ensuremathν) 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.