Is the Schwarzschild Metric a Vacuum Solution of the Einstein Equation?
General Relativity and Quantum Cosmology
2014-04-14 v2 High Energy Physics - Theory
Classical Physics
Abstract
This paper examines the inhomogeneous Einstein equation for a static spherically symmetric metric with a source term corresponding to a perfect fluid with p=-rho. By a careful treatment of the equation near the origin we find an analytic solution for the metric, dependent on a small parameter epsilon, which can be made arbitrarily close to the Schwarzschild solution as \epsilon} tends to zero and which in that same limit can be viewed as arising from a point-like source structure.
Keywords
Cite
@article{arxiv.1106.2040,
title = {Is the Schwarzschild Metric a Vacuum Solution of the Einstein Equation?},
author = {Horace Crater},
journal= {arXiv preprint arXiv:1106.2040},
year = {2014}
}
Comments
16 pages, updated