Regular Article - Theoretical Physics
Effects of thermal fluctuations on non-minimal regular magnetic black hole
Department of Mathematics, COMSATS Institute of Information Technology, Lahore, 54000, Pakistan
2 CAMS, UCP Business School, University of Central Punjab, Lahore, Pakistan
Accepted: 9 May 2017
Published online: 26 May 2017
We analyze the effects of thermal fluctuations on a regular black hole (RBH) of the non-minimal Einstein–Yang–Mill theory with gauge field of magnetic Wu–Yang type and a cosmological constant. We consider the logarithmic corrected entropy in order to analyze the thermal fluctuations corresponding to non-minimal RBH thermodynamics. In this scenario, we develop various important thermodynamical quantities, such as entropy, pressure, specific heats, Gibb’s free energy and Helmholtz free energy. We investigate the first law of thermodynamics in the presence of logarithmic corrected entropy and non-minimal RBH. We also discuss the stability of this RBH using various frameworks such as the factor (the ratio of heat capacities), phase transition, grand canonical ensemble and canonical ensemble. It is observed that the non-minimal RBH becomes globally and locally more stable if we increase the value of the cosmological constant.
© The Author(s), 2017