Schwarzschild Spacetime without Coordinates
General Relativity and Quantum Cosmology
2009-02-04 v2 High Energy Physics - Theory
Abstract
We discuss how to construct the full Schwarzschild (Kruskal-Szekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric.
Cite
@article{arxiv.gr-qc/0701115,
title = {Schwarzschild Spacetime without Coordinates},
author = {Orlando Alvarez},
journal= {arXiv preprint arXiv:gr-qc/0701115},
year = {2009}
}
Comments
36 pages, 4 figures; some typos corrected, a few paragraphs added for clarification