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Schwarzschild Spacetime without Coordinates

2007/01/21 by Orlando Alvarez, Alvarez, Orlando
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.gr-qc/0701115

36 pages, 4 figures; some typos corrected, a few paragraphs added for clarification

arxiv created 2009/02/04 · arxiv updated 2009/12/01

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.

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