Narrow Results

We have analyzed the thermodynamics of slowly rotating magnetized Kerr black-hole following Newman–Janis prescription with typical spin parameter $a\le 0.1$ (nearly static) in the background of nonlinear electrodynamics. The nonlinear electrodynamics is parameterized with two parameters $\beta =1$ and $\gamma$. We consider two values of the $\gamma$, namely $\frac{1}{2}$ and $\frac{1}{3}$. In particular, we have studied the Bekenstein–Hawking entropy, Hawking temperature, angular momentum, specific heats at constant angular momentum. The specific heat profiles show that the black-hole becomes unstable for all the values of event horizon radius.