Eur. Phys. J. C (2008) 53: 133-138
https://doi.org/10.1140/epjc/s10052-007-0439-8

Regular Article - Theoretical Physics

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

Departamento de Física, Universidade Federal da Paraíba, C.P. 5008-CEP: 58059-970, João Pessoa, PB 58059-970, Brazil

^* e-mail: jemadriz@fisica.ufpb.br

Received: 8 June 2007
Revised: 23 August 2007
Published online: 1 November 2007

Abstract

Considering a separable and purely kinetic 5D scalar field we investigate the induction of 4D scalar potentials on a 4D constant foliation on the class of 5D warped product space-times. We obtain a quantum confinement of the inflaton modes given naturally from the model for at least a class of warping factors. We can recover a 4D inflationary scenario where the inflationary potential is geometrically induced from 5D and the effective equation of state in 4D that includes the effect of the inflaton field and the induced matter is P_eff≃-ρ_eff.