On the solutions to accelerating cosmologies

TL;DR

This paper derives solutions to vacuum Einstein equations in higher-dimensional Minkowski space with hyperbolic manifolds, exploring conditions under which the universe exhibits accelerated expansion.

Contribution

It provides new solutions and conditions for acceleration in higher-dimensional vacuum Einstein models with hyperbolic geometry.

Findings

Conditions for acceleration in higher-dimensional models identified

Explicit solutions to Einstein equations in specified setup derived

Insights into geometric factors influencing cosmological acceleration

Abstract

Motivated by recent accelerating cosmological model, we derive the solutions to vacuum Einstein equation in $(d+1)$-dimensional Minkowski space with $n$-dimensional hyperbolic manifold. The conditions of accelerating expansion are given in such a set up.