Role of the brane curvature scalar in the brane world cosmology

TL;DR

This paper investigates the impact of including the brane curvature scalar in brane world cosmology, revealing new correction terms that could significantly influence cosmological models.

Contribution

It introduces the brane curvature scalar as a perturbation in brane cosmology, deriving new correction terms to the standard equations.

Findings

Derived new correction terms in brane cosmology equations.

Identified potential significance of these terms in cosmological evolution.

Provided a framework for incorporating boundary curvature effects.

Abstract

We include the brane curvature scalar to study its cosmological implication in the brane world cosmology. This term is usually introduced to obtain the well-defined stress-energy tensor on the boundary of anti de Sitter-Schwarzschild space. Here we treat this as the perturbed term for cosmological purpose. We find corrections to the well-known equation of the brane cosmology. It contains new interesting terms which may play the important role in the brane cosmology.