Schwarzschild spacetime without coordinates

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Abstract

We discuss how to construct the full Schwarzschild (KruskalSzekeres) 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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APA

Alvarez, O. (2010). Schwarzschild spacetime without coordinates. Pure and Applied Mathematics Quarterly, 6(2), 457–500. https://doi.org/10.4310/PAMQ.2010.v6.n2.a8

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