Chaotic Inflationary Universe on Brane

TL;DR

This paper investigates chaotic inflation within brane world cosmology, showing that inflation can occur with weaker scalar fields and from non-singular origins, differing from standard general relativity.

Contribution

It extends chaotic inflation models to brane worlds, demonstrating conditions for inflation with weaker fields and non-singular initial states.

Findings

Inflation can start with scalar fields below the Planck scale.

Weakly coupled scalar fields suffice for inflation in brane models.

Universe can evolve from non-singular states or singularities.

Abstract

The chaotic inflationary model of the early universe, proposed by Linde is explored in the brane world considering matter described by a minimally coupled self interacting scalar field. We obtain cosmological solutions which admit evolution of a universe either from a singularity or without a singularity. It is found that a very weakly coupled self-interacting scalar field is necessary for a quartic type potential in the brane world model compared to that necessary in general relativity. In the brane world sufficient inflation may be obtained even with an initial scalar field having value less than the Planck scale. It is found that if the universe is kinetic energy dominated to begin with, it transits to an inflationary stage subsequently.