Geometry of static $w=-1/5$ perfect fluid spheres in general relativity

TL;DR

This paper analyzes two classes of static, spherically symmetric solutions in general relativity sourced by an exotic perfect fluid with a specific equation of state, revealing their geometric features and singularities.

Contribution

It introduces and characterizes new analytical solutions with a specific exotic equation of state, expanding understanding of such geometries in general relativity.

Findings

Solutions depend on up to four parameters.

Geometries are static, spherically symmetric, and contain naked singularities.

Descriptions of the physical features of these solutions.

Abstract

We discuss the physical features of two recent classes of analytical solutions of the Einstein equations sourced by an exotic perfect fluid with equation of state $ P=-\rho/5$. These geometries depend on up to four parameters and are static and spherically symmetric. They describe compact spaces with naked central singularities.