Does Cosmic No-Hair Conjecture in Brane Scenarios follow from General Relativity?

TL;DR

This paper investigates whether the Cosmic No-Hair Conjecture holds in brane world models, showing that energy conditions are sufficient for its validity under certain assumptions.

Contribution

It demonstrates that strong and weak energy conditions are sufficient for the CNHC in brane scenarios, expanding understanding beyond classical General Relativity.

Findings

Energy conditions ensure CNHC validity in brane models

Quadratic correction terms have specific restrictions

Realistic fluid models support the conjecture

Abstract

In this paper we examine the Cosmic No-Hair Conjecture (CNHC) in brane world scenarios. For the validity of this conjecture, in addition to the strong and weak energy conditions for the matter field, a similar type of assumption is to be made on the quadratic correction term and there is a restriction on the non-local term. It is shown by examples with realistic fluid models that strong and weak energy conditions are sufficient for CNHC in brane world.