Inflationary Cosmologies in an Anisotropic Brane World

TL;DR

This paper presents new anisotropic brane world cosmological solutions that include inflation and show how anisotropy diminishes over time, offering insights into early universe dynamics.

Contribution

It introduces novel solutions in anisotropic brane cosmology with scalar fields, demonstrating inflationary behavior and different evolutionary scenarios.

Findings

Universe undergoes inflationary expansion.

Anisotropy diminishes over time.

Two types of cosmological evolutions are identified.

Abstract

A new cosmological solution of the gravitational field equations in the generalized Randall-Sundrum model for an anisotropic brane with Bianchi I geometry and with perfect fluid as matter sources is presented. The matter is described by a scalar field. The solution admits inflationary era and at a later epoch the anisotropy of the universe washes out. We obtain two classes of cosmological scenario, in the first case universe evolves from singularity and in the second case universe expands without singularity.