Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces

Details Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces

2007-04-18

arxiv.org/abs/0704.2434v2

Eur.Phys.J.C53:133-138,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages Accepted for publication in European Physical Journal C

Scientific paper

10.1140/epjc/s10052-007-0439-8

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.

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