Exact non-spherical relativistic star

TL;DR

This paper derives exact solutions to Einstein's field equations for non-spherical anti-de Sitter space-times containing null and string fluids, extending previous work to more general geometries.

Contribution

It introduces new exact solutions for non-spherical anti-de Sitter space-times with diffusing string fluids, expanding the scope of previous models.

Findings

Derived Vaidya-like solutions with null and string fluids

Extended existing models to non-spherical geometries

Provided exact solutions for Einstein's equations in this context

Abstract

We obtain Vaidya-like solutions to include both a null fluid and a string fluid in non-spherical (plane symmetric and cylindrical symmetric) anti-de Sitter space-times. Assuming that string fluid diffuse, we find exact solutions of Einstein's field equations. Thus we extend a recent work of Glass and Krisch \cite {gk} to non-spherical anti-de Sitter space-times.