Myers-Perry black hole

A Myers-Perry black hole is the higher-dimensional asymptotically flat rotating vacuum generalization of the Kerr black hole. In six dimensions, a solution with one nonzero rotation parameter $a$ and horizon radius $r_{+}$ has mass parameter $\mu =r_{+}(r_{+}^2+a^2)$.

For the singly rotating six-dimensional Myers-Perry solution with $G=1$ and $\mu =r_{+}(r_{+}^2+a^2)$,and the horizon area is