arXiv · 1103.1703
Kaluza-Klein brane cosmology with a bulk scalar field
Abstract
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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Arianto, F. P. Zen, S. Feranie, I P. Widyatmika, B. E. Gunara. 2011-06-28. Kaluza-Klein brane cosmology with a bulk scalar field. https://doi.org/10.1103/physrevd.84.044008
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