Asymptotically flat anisotropic space-time in 5 dimensions

TL;DR

This paper constructs and analyzes 5-dimensional anisotropic spacetime solutions that are asymptotically flat, including charged dust configurations, revealing naked singularities and conditions for horizons in Einstein-Maxwell gravity.

Contribution

It introduces new 5D anisotropic solutions with asymptotic flatness and explores charged dust configurations, including horizon formation in negative matter density scenarios.

Findings

Existence of asymptotically flat anisotropic solutions with naked singularities.

Construction of Einstein-Maxwell solutions with charged dust profiles.

Identification of conditions for horizon formation in negative matter density cases.

Abstract

We construct and investigate non conformal anisotropic Bianchi type VII solutions in 5 dimensions. The solutions are asymptotically flat, but they contain a naked singularity at the origin. We also construct solutions of Einstein-Maxwell gravity using the method employed in Majumdar -Papapetrou solutions with various profiles of charged dust. In a fictitious case of negative matter density, we obtain a solution with horizon hiding the singularity.