# Static Perfect Fluids With Symmetries

## TL;DR

This paper uses symmetries to find exact solutions to Einstein's equations for static perfect fluids with spatial sections conformal to constant curvature spaces.

## Contribution

It introduces a method leveraging symmetries to derive explicit solutions for static perfect fluid spacetimes with specific geometric properties.

## Key findings

- Derived new exact solutions to Einstein's equations.
- Identified conditions for perfect fluids with conformal spatial sections.
- Enhanced understanding of static perfect fluid configurations.

## Abstract

In this paper we utilize symmetries in order to exhibit exact solutions to Einstein's equation of a perfect fluid on a static manifold all of whose spatial factor belongs to the conformal class of a Riemannian space of constant curvature.

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Source: https://tomesphere.com/paper/1905.00114