Surface gravity of a five-dimensional charged black hole
= Surface gravity of a five-dimensional charged black hole
{title2=$\kappa_\pm=\pm2\sqrt{M^2-Q^2}/r_\pm^3$}
The time translation is normalized at infinity. For the roots $r_\pm^2=M\pm\sqrt{M^2-Q^2}$, evaluate $V'(r)/2$ to get the signed horizon values. The outer <Hawking temperature> in natural units is $\sqrt{M^2-Q^2}/(\pi r_+^3)$. The extremal limit has zero surface gravity; the neutral case has only the outer positive-radius horizon and temperature $1/(2\pi\sqrt{2M})$.