Schwarzschild tortoise coordinate
= Schwarzschild tortoise coordinate
{c}
The tortoise coordinate satisfies
$$
\frac{dr_*}{dr}=\left(1-\frac{2M}{r}\right)^{-1},
\qquad
r_*=r+2M\log\left|\frac{r}{2M}-1\right|.
$$
= Schwarzschild tortoise coordinate
{c}
The tortoise coordinate satisfies
$$
\frac{dr_*}{dr}=\left(1-\frac{2M}{r}\right)^{-1},
\qquad
r_*=r+2M\log\left|\frac{r}{2M}-1\right|.
$$