Arianto, F.P. Zen, S. Feranie, I.P. Widyatmika, B.E. Gunara
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. © 2011 American Physical Society.
Department of Physics, Faculty of Mathematics and Natural Sciences, Udayana University, Bali 80361, Jalan Kampus Bukit Jimbaran Kuta, Indonesia; Theoretical Physics Lab., THEPI Devision, Bandung 40132, Jalan Ganesha 10, Indonesia; Indonesia Center for Theoretical and Mathematical Physics (ICTMP), Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Jalan Ganesha 10, Indonesia; Jurusan Pendidikan Fisika, FPMIPA, Universitas Pendidikan Indonesia, Bandung 40154, Jalan Dr. Setiabudi 229, Indonesia
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