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.

arXiv comment20 pages, 5 figures

References in corpus (36)

• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Pressure and volume in the first law of black hole thermodynamics
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• General Logarithmic Corrections to Black Hole Entropy
• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• Regular black holes with a nonlinear electrodynamics source
• Singularity Theorems and Their Consequences
• Regular Black Holes and Topology Change
• Universality of Quantum Entropy for Extreme Black Holes
• Open and Closed Universes, Initial Singularities and Inflation
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Thermal Fluctuations in a Charged AdS Black Hole
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Regular black holes and energy conditions
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• An Exact Black Hole Entropy Bound
• Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula
• 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
• Holographic Principle and String Cosmology
• Non-minimal Wu-Yang monopole
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Holographic Principle in the Closed Universe : a Resolution with Negative Pressure Matter
• Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes
• Stability of black holes based on horizon thermodynamics
• The family of regular interiors for non-rotating black holes with $T_0^0=T_1^1$
• 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
• Accretion onto Some Well-Known Regular Black Holes
• Effective gravity from a quantum gauge theory in Euclidean space-time
• Magnetic black holes and monopoles in a nonminimal Einstein-Yang-Mills theory with a cosmological constant: Exact solutions
• Nonminimal black holes with regular electric field

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• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
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• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Strong gravitational lensing of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole
• Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes