Generating static perfect-fluid solutions of Einstein's equations
General Relativity and Quantum Cosmology
2015-06-11 v1 Mathematical Physics
math.MP
Abstract
We present a method for generating exact interior solutions of Einstein's equations in the case of static and axially symmetric perfect-fluid spacetimes. The method is based upon a transformation that involves the metric functions as well as the density and pressure of the seed solution. In the limiting vacuum case, it reduces to the Zipoy-Voorhees transformation that can be used to generate metrics with multipole moments. All the metric functions of the new solution can be calculated explicitly from the seed solution in a simple manner. The physical properties of the resulting new solutions are shown to be completely different from those of the seed solution.
Keywords
Cite
@article{arxiv.1503.05300,
title = {Generating static perfect-fluid solutions of Einstein's equations},
author = {Hernando Quevedo and Saken Toktarbay},
journal= {arXiv preprint arXiv:1503.05300},
year = {2015}
}