Inflation in Bianchi models and the cosmic no hair theorem in brane world

TL;DR

This paper investigates how anisotropic Bianchi models evolve towards inflation in brane world cosmology, showing faster isotropization than in general relativity and highlighting the role of potential in late-time behavior.

Contribution

It demonstrates that in brane world scenarios, anisotropic Bianchi models generally isotropize faster during inflation, with the potential's form influencing late-time dynamics.

Findings

All Bianchi models except type IX become isotropic during inflation.

Anisotropic universe approaches inflation faster in brane world than in general relativity.

Late-time behavior depends on a constant additive factor in the inflaton potential.

Abstract

In this paper, the cosmic no hair theorem for anisotropic Bianchi models which admit inflation with a scalar field is studied in the framework of Brane world. It is found that all Bianchi models except Bianchi type IX, transit to an inflationary regime with vanishing anisotropy. In the Brane world, anisotropic universe approaches the inflationary era much faster than that in the general theory of relativity. The form of the potential does not affect the evolution in the inflationary epoch. However, the late time behaviour is controlled by a constant additive factor in the potential for the inflaton field.