 Five-dimensional Schwarzschild--anti-de Sitter black hole

The spherical five-dimensional Schwarzschild--anti-de Sitter metric has $f(r)=1+r^2/L^2-\mu /r^2$. Its horizon satisfies $\mu =r_H^2(1+r_H^2/L^2)$ and has area $2{\pi }^2{r}_H^3$.