Kaluza-Klein brane cosmology with a bulk scalar field

Details Kaluza-Klein brane cosmology with a bulk scalar field Kaluza-Klein brane cosmology with a bulk scalar field

2011-03-09

arxiv.org/abs/1103.1703v2

Phys.Rev.D84:044008,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, one section added, accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.84.044008

The brane-world cosmological model in higher-dimensional spacetime with a bulk scalar field is investigated. We derive the $(4+n)$-dimensional gravitational field equations for the scalar field on the $(3+n)$-brane in a $(5+n)$-dimensional bulk with Einstein gravity plus a self-interacting scalar field. The $(4+n)$-dimensional gravitational field equations can be formulated to standard form with the extra component. Using this formalism we study the Kaluza-Klein brane cosmology. We derive the Friedmann equation and a possible energy leak out of the brane into the bulk. We present some exact solutions corresponding to vacuum brane and matter on the brane.

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