Study of thermodynamic properties for charged power law black holes in Eddington-inspired Born-Infeld theory

Abstract

We study thermodynamic properties of static spherically-symmetric and electrically-charged black hole in Eddington-inspired Born-Infeld (EiBi) Theory. We consider Maxwell electrodynamics with power law for the matter fields. Corrected black hole entropy is needed when we evaluate in EiBI theory of gravity [1] and we can derived the black hole mass. Specific heat CQ is derive√d from entropy and Hawking temperature. Results show that mostly of the black holes exist except when q=18(−3−41), κ = 1 and Q = 0.1. Black holes are unstable at first for a few values of Q, but CQ increases exponentially afterwards and becomes positive.