2007/04/30 by Jose Edgar Madriz Aguilar, J.E. Madriz Aguilar
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-007-0439-8
published as Eur.Phys.J.C53:133-138,2008 · 8 pages Accepted for publication in European Physical Journal C
arxiv created 2007/10/01 · openalex publication_date 2007/10/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
Considering a separable and purely kinetic 5D scalar field on a warped product metric background we propose a new and more general approach for inducing 4D scalar potentials on a 4D constant foliation of the 5D space-time. We obtain an induced potential for a true 4D scalar field instead of a potential for an effective 4D scalar field. In this formalism we can recover the usual 4D inflationary formalism with a geometrically induced inflationary potential. In addition the quantum confinement of the inflaton modes is obtained naturally from the model for at least a class of warping factors. Besides the 4D inflationary physics that results of this formalism is independent of the 4D-hypersurface chosen.