Painlevé–Gullstrand coordinates (source code)

= Painlevé–Gullstrand coordinates
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Painlevé–Gullstrand coordinates write the Schwarzschild metric as
$$
ds^2=-dt^2+\left(dr+\sqrt{\frac{2M}{r}}\,dt\right)^2+r^2d\Omega^2.
$$
The constant-$t$ spatial slices are flat, and the coordinates remain regular at the <Schwarzschild radius>.