Nearly static magnetized Kerr black-hole in nonlinear electrodynamics

We have analyzed the thermodynamics of slowly rotating magnetized Kerr black-hole following Newman-Janis prescription with typical spin parameter a <= 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 12 and 13. 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.