Five-dimensional equal-spin Myers-Perry black hole (source code)

= Five-dimensional equal-spin Myers-Perry black hole

A five-dimensional <Myers-Perry black hole> with equal rotational parameters has a metric depending on a single radial coordinate. In a fibered coordinate system, its radial functions can be written $f=1-r_0^2/r^2+\alpha^2r_0^2/r^4$, $h=1+\alpha^2r_0^2/r^4$, and $\Omega=\alpha r_0^2/(r^4h)$. For $0<\alpha<r_0/2$ there are outer and inner <Killing horizons>; at equality they form a <degenerate Killing horizon>. With the standard sphere identifications and $G_5=1$, its <Komar mass> is $3\pi r_0^2/8$.