Similarity Solutions of the Einstein-Maxwell equations with 1 Killing Vector
General Relativity and Quantum Cosmology
2016-03-01 v2
Abstract
New similarity variables are introduced for the Einstein - Maxwell equations with one Killing vector that reduce the non-linear partial differential equations in three independent variables to ordinary differential equations. These similarity variables are the extensions of those previously found for the Einstein-Maxwell equations with two Killing vectors. The resulting equations are then solved, providing new solutions of the Einstein - Maxwell equations with one Killing Vector.
Keywords
Cite
@article{arxiv.gr-qc/0501063,
title = {Similarity Solutions of the Einstein-Maxwell equations with 1 Killing Vector},
author = {Elliot Fischer},
journal= {arXiv preprint arXiv:gr-qc/0501063},
year = {2016}
}