# Anisotropic brane gravity with a confining potential

## TL;DR

This paper explores anisotropic brane world models with Bianchi geometries, introducing a confining potential that modifies Einstein's equations and may explain cosmic acceleration, providing exact solutions and analyzing observational parameters.

## Contribution

It presents a novel approach to brane gravity with anisotropy and a confining potential, deriving exact solutions and linking to cosmic acceleration.

## Key findings

- Modified field equations include an extra term interpreted as x-matter.
- Exact parametric solutions for Bianchi type I and V geometries.
- Analysis of observational parameters supports accelerated expansion.

## Abstract

We consider an anisotropic brane world with Bianchi type I and V geometries where the mechanism of confining the matter on the brane is through the use of a confining potential. The resulting equations on the anisotropic brane are modified by an extra term that may be interpreted as the x-matter, providing a possible phenomenological explanation for the accelerated expansion of the universe. We obtain the general solution of the field equations in an exact parametric form for both Bianchi type I and V space-times. In the special case of a Bianchi type I the solutions of the field equations are obtained in an exact analytic form. Finally, we study the behavior of the observationally important parameters.