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Schwarzschild spacetime

In units

G = c = 1

, the Schwarzschild exterior metric is

d s^{2} = - (1 - \frac{2 M}{r}) d t^{2} + (1 - \frac{2 M}{r})^{- 1} d r^{2} + r^{2} d Ω^{2} .

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