Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole

Abstract

In this paper, we derive a black hole solution within the Einstein Maxwell framework incorporating a nonminimal coupling between the Ricci tensor and the Maxwell field strength tensor, using a perturbative approach. We subsequently explore the thermodynamic phase transitions of the black hole in an extended phase space, analyzing both canonical and grand canonical ensembles. Our findings reveal that the system exhibits Van der Waals like behavior in both ensembles. Moreover, for sufficiently small values of electric charge and Maxwell potential, the thermodynamics is dominated by a Hawking Page phase transition.

29 pages, 25 figures, f1 was corrected,

References in corpus (41)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• P-V criticality of charged AdS black holes
• Gauss-Bonnet Black Holes in AdS Spaces
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• The cosmological constant and the black hole equation of state
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Black Hole Solutions as Topological Thermodynamic Defects
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Topology of black hole thermodynamics
• Topological classes of thermodynamics of rotating AdS black holes
• Holographic Black Hole Chemistry
• Topological classes of rotating black holes
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Holographic Quantum Critical Transport without Self-Duality
• Van der Waals phase transition in the framework of holography
• Phase transition of holographic entanglement entropy in massive gravity
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Universal topological classifications of black hole thermodynamics
• Non-minimal coupling of photons and axions
• Non-minimal Einstein-Yang-Mills-Higgs theory: Associated, color and color-acoustic metrics for the Wu-Yang monopole model
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Novel topological classes in black hole thermodynamics
• Domain wall solution in $F(R)$ gravity and variation of the fine structure constant
• Einstein Yang-Mills Higgs dark energy revisited
• Big-bang nucleosynthesis and cosmic microwave background constraints on non-minimally coupled theories of gravity
• Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Holographic Aspects of Non-minimal $R{F}_{\mu \alpha }^{(a)}{F}^{(a)\mu \alpha }$ Black Brane
• Holographic Aspects of Non-minimal $R_{\mu \alpha \nu \beta }{F}^{(a)\mu \alpha }{F}^{(a)\nu \beta }$ AdS Black Brane
• The Phase Transition of Non-minimal Yang-Mills AdS Black Brane
• The Phase Transition of $4D$ Yang-Mills Charged GB AdS Black Hole with Cloud of Strings

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• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
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