Standard Cosmology from Sigma-Model

TL;DR

This paper explores higher-dimensional gravity models coupled with scalar fields and perfect fluids, deriving cosmological solutions that include known models like Randall-Sundrum and self-tuning solutions, demonstrating their relevance to conventional cosmology.

Contribution

It introduces new cosmological solutions in higher-dimensional models that unify and extend existing Randall-Sundrum and self-tuning scenarios.

Findings

Derived cosmological solutions with a rolling fifth radius.

Included both Randall-Sundrum and self-tuning solutions.

Showed these models exhibit conventional cosmology.

Abstract

We investigate (4+1)- and (5+0)-dimensional gravity coupled to a non-compact scalar field sigma-model and a perfect fluid within the context of the Randall-Sundrum scenario. We find cosmological solutions with a rolling fifth radius and a family of warp factors. Included in this family are both the original Randall-Sundrum solution and the self-tuning solution of Kachru, Schulz and Silverstein. Our solutions exhibit conventional cosmology.