Schwarzschild Spacetime without Coordinates
arXiv:gr-qc/0701115
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.
36 pages, 4 figures; some typos corrected, a few paragraphs added for clarification