Invariant Solutions for the Einstein Field Equation
Differential Geometry
2018-02-08 v2
Abstract
In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a given group of translations and whose spatial factor is conformally flat, are characterized. We use this method to give some exact solutions of the referred equation.
Cite
@article{arxiv.1711.00834,
title = {Invariant Solutions for the Einstein Field Equation},
author = {Marcelo Barbosa and Benedito Leandro and Romildo Pina},
journal= {arXiv preprint arXiv:1711.00834},
year = {2018}
}