A short introduction on Angular momentum of Kerr Blackhole

Abstract: General relativity (GR) predicts the existence of black hole (BH). The rotating BH called as a Kerr Black hole and GR implies that there is an upper limit on the angular momentum per mass squared of black holes $\leq 1$, above which the event horizon of the Kerr BH is not exist. We find the radial equation for equatorial motion for Kerr BH in terms of the effective potential. We have shown the effective potential profile for different rotation parameter ($a$). We find the solution of the radial equation of the Kerr metric and found the expression of the angular momentum per unit mass squared, $\tilde a = \frac{a}{M}$. We showed the profile of $\tilde a$ as a function of $\frac{r}{M}$. The solution also leads the energy per unit rest mass ($e$) and we showed its behavior as a function of $\frac{r}{M}$. We enumerated the maximum values of radius of innermost stable circular orbit ($r_{ISCO}$) for $\tilde a=1$.