General Solutions to Static Plane Symmetric Einstein's Equations
General Relativity and Quantum Cosmology
2013-08-26 v1
Abstract
A general formula for the metric as an explicit function of the generic energy-momentum tensor is given which satisfies static plane symmetric Einstein's equations with cosmological constant.In order to illustrate it, the solutions for the vacuum with cosmological constant, the perfect fluid with a linear equation of state and the electrically charged plane are derived and compared with known results. The general solution with a linear relation among the energy-momentum tensor components is also obtained.
Keywords
Cite
@article{arxiv.1308.5212,
title = {General Solutions to Static Plane Symmetric Einstein's Equations},
author = {Leandro G. Gomes},
journal= {arXiv preprint arXiv:1308.5212},
year = {2013}
}
Comments
11 pages