Quintessential inflation from 5D warped product spaces on a dynamical foliation
Abstract
Assuming the existence of a 5D purely kinetic scalar field on the class of warped product spaces we investigate the possibility of mimic both an inflationary and a quintessential scenarios on 4D hypersurfaces, by implementing a dynamical foliation on the fifth coordinate instead of a constant one. We obtain that an induced chaotic inflationary scenario with a geometrically induced scalar potential and an induced quasi-vacuum equation of state on 4D dynamical hypersurfaces is possible. While on a constant foliation the universe can be considered as matter dominated today, in a family of 4D dynamical hypersurfaces the universe can be passing for a period of accelerated expansion with a deceleration parameter nearly -1. This effect of the dynamical foliation results negligible at the inflationary epoch allowing for a chaotic scenario and becomes considerable at the present epoch allowing a quintessential scenario.
Keywords
Cite
@article{arxiv.0707.0669,
title = {Quintessential inflation from 5D warped product spaces on a dynamical foliation},
author = {Lucio Fabio P. da Silva and Jose Edgar Madriz Aguilar},
journal= {arXiv preprint arXiv:0707.0669},
year = {2008}
}
Comments
7 pages, 1 figure Accepted for publication in Modern Physics Letters A