Brane Kantowski-Sachs Universe with Linear Equation of State and Future Singularity

TL;DR

This paper explores the dynamics of a brane Kantowski-Sachs universe with a linear equation of state, comparing it to standard cosmology, and investigates conditions leading to isotropization and future singularities.

Contribution

It introduces a detailed analysis of brane Kantowski-Sachs cosmology with a linear equation of state, highlighting differences from Einstein theory and conditions for isotropy and singularity.

Findings

Brane cosmology can become isotropic faster than standard models.

Behavior of scale factors varies with matter parameters.

Future singularities depend on matter equation of state.

Abstract

We consider the brane Kantowski-Sachs universe when bulk space is five dimensional anti-de Sitter obeying a linear equation of state of the form $p=(\gamma -1)\rho +p_{0}$, where $ \gamma,\:p_{0}$ are a parameters. In this framework we discuss the brane Kantowski-Sachs cosmology and compare it with standard Kantowski-Sachs cosmology in Einstein theory for some specific matter choice. For several specific choice of relation between energy and pressure, the behavior of the scale factors at early time is found. It is shown that the brane Kantowski-Scahs cosmology may quickly become isotropic for some choices of matter. We also discuss the universe fate of Kantowski-Sachs cosmological model by means of the rip or singularity in both the theories.