Schwarzschild Spacetime without Coordinates

Details Schwarzschild Spacetime without Coordinates Schwarzschild Spacetime without Coordinates

2007-01-21

arxiv.org/abs/gr-qc/0701115v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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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