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Analytic continuation of Spacetime Metrics

Analytic continuation of Spacetime Metrics

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The Schwarzschild black hole<br />

The metric has two singularities:<br />

r = 0<br />

r = r s = 2m, r s = Schwarzschild radius<br />

the singularity at r = r s -> coordinate singularity!<br />

metric singular at r = 0, but we know that flat spacetime has no true spacetime singularities<br />

->coordinates are badly behaved at coordinate singularities!

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