Schwarzschild--anti-de Sitter black hole
= Schwarzschild--anti-de Sitter black hole
{c}
{title2=Schwarzschild-AdS black hole}
In four dimensions the Schwarzschild--anti-de Sitter black hole has
$$
f(r)=1+\frac{r^2}{L^2}-\frac{2M}{r}.
$$
Writing the horizon radius as $r_+$ gives $M=r_+(1+r_+^2/L^2)/2$ and
$$
T_H=\frac{1+3r_+^2/L^2}{4\pi r_+}.
$$