Late-time acceleration in Higher Dimensional Cosmology

TL;DR

This paper explores how higher dimensional cosmology models can explain the universe's late-time acceleration, fitting supernovae data and considering different pressures in normal and extra dimensions.

Contribution

It introduces a model with pressure differences in extra dimensions and demonstrates its viability in explaining late-time cosmic acceleration.

Findings

Late-time acceleration achieved with specific parameter choices.

Model fits supernovae data well.

Deceleration parameter q0 approximately -0.46.

Abstract

We investigate late time acceleration of the universe in higher dimensional cosmology. The content in the universe is assumed to exert pressure which is different in the normal and extra dimensions. Cosmologically viable solutions are found to exist for simple forms of the equation of state. The parameters of the model are fixed by comparing the predictions with supernovae data. While observations stipulate that the matter exerts almost vanishing pressure in the normal dimensions, we assume that, in the extra dimensions, the equation of state is of the form $P \propto \, \rho^{1 - \gamma}$. For appropriate choice of parameters, a late time acceleration in the universe occurs with $q_0$ and $z_{tr}$ being approximately -0.46 and 0.76 respectively.