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Schwarzschild Spacetime without Coordinates

Orlando Alvarez
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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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Orlando Alvarez. 2009-02-04. Schwarzschild Spacetime without Coordinates. https://arxiv.org/abs/gr-qc/0701115

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