Effects of Thermal Fluctuations on Non-minimal Regular Magnetic Black Hole

Abstract

We analyze the effects of thermal fluctuations on a regular black hole (RBH) of 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 Helmothz free energy. We investigate 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 $\gamma$ factor (comprises of ratio of heat capacities), phase transition, grand canonical ensemble and canonical ensemble. It is observed that the non-minimal RBH becomes more globally and locally stable if we increase the value of cosmological constant.

20 pages, 5 figures

References in corpus (12)

• Regular black holes with a nonlinear electrodynamics source
• Singularity Theorems and Their Consequences
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Non-minimal Wu-Yang monopole
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Partition Functions for Quantum Gravity, Black Holes, Elliptic Genera and Lie Algebra Homologies
• Non-minimal Wu-Yang wormhole
• Effective gravity from a quantum gauge theory in Euclidean space-time
• Nonminimal black holes with regular electric field

Cited by in corpus (4)

• Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity
• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole