Cosmological Solutions of Supergravity in Singular Spaces

TL;DR

This paper explores brane-world solutions in five-dimensional supergravity, demonstrating a self-tuned cosmological constant with a metric consistent with observational data, and analyzing the effects of brane tension.

Contribution

It presents a novel self-tuning mechanism for the cosmological constant in five-dimensional supergravity with branes, aligning theoretical models with experimental cosmological parameters.

Findings

The brane-world metric is of the FRW type with a cosmological constant 

The equation of state parameter  is 

The model achieves a cosmological constant  consistent with observations.

Abstract

We study brane-world solutions of five-dimensional supergravity in singular spaces. We exhibit a self-tuned four-dimensional cosmological constant when five-dimensional supergravity is broken by an arbitrary tension on the brane-world. The brane-world metric is of the FRW type corresponding to a cosmological constant $\Omega_{\Lambda}={5/7}$ and an equation of state $\omega=-{5/7}$ which are consistent with experiment.