Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant

Abstract

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean action given by boundary terms which explicitly depend on the extrinsic curvature (Kounterterms series). A finite action principle leads to the correct definition of thermodynamic variables as Noether charges, which satisfy a Smarr-like relation. In particular, for the odd-dimensional case, a consistent thermodynamic description is achieved if the internal energy of the system includes the vacuum energy for AdS spacetime.

arXiv comment29 pages, no figures; additional comments on extreme black hole case, a few references added; final version for PRD

References in corpus (37)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Charged AdS Black Holes and Catastrophic Holography
• A semi-classical limit of the gauge/string correspondence
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Born-Infeld-Einstein Actions?
• Rotating Charged Black Strings in General Relativity
• Misner String Entropy
• Born-Infeld black holes in the presence of a cosmological constant
• Born-Infeld Black Holes in (A)dS Spaces
• Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
• Conserved charges for gravity with locally AdS asymptotics
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
• Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories
• Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand canonical ensemble
• Regularization of odd-dimensional AdS gravity: Kounterterms
• Universal regularization prescription for Lovelock AdS gravity
• Smarr's formula for black holes with non-linear electrodynamics
• Finite action principle for Chern-Simons AdS gravity
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Transgression forms and extensions of Chern-Simons gauge theories
• Counterterms in Dimensionally Continued AdS Gravity
• On boundary conditions in three-dimensional AdS gravity
• Thermodynamics of toroidal black holes
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity
• Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant
• Black holes and singularities in string theory

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• Holographic superconductors in the Born-Infeld electrodynamics
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• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• Born-Infeld Black Holes in 4D Einstein-Gauss-Bonnet Gravity
• Dilaton black holes coupled to nonlinear electrodynamic field
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Shear Viscosity from AdS Born-Infeld Black Holes
• Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
• Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Holography in Action
• Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
• Nonlinearly charged AdS black holes, extended phase space thermodynamics and Joule-Thomson expansion
• Effects of Born-Infeld electrodynamics on black hole shadows
• Thermodynamic instability of topological black holes with nonlinear source
• Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics
• Thermodynamic description and quasinormal modes of adS black holes in Born-Infeld massive gravity with a non-abelian hair
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• NED-AdS black holes, extended phase space thermodynamics and Joule--Thomson expansion
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• AdS black holes in the framework of nonlinear electrodynamics, thermodynamics and Joule--Thomson expansion
• Black holes of dimensionally continued gravity coupled to Born-Infeld electromagnetic field
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Rotating charged black hole with Weyl corrections
• Optical Features of Rotating Black Hole with Nonlinear Electrodynamics
• Hairy black holes of Lovelock-Born-Infeld-Scalar gravity
• Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Topologically nontrivial black holes in Lovelock-Born-Infeld gravity
• Nonlinear electrodynamics in 3D gravity with torsion
• Phase transitions in Born-Infeld AdS black holes in D-dimensions
• Domain wall universe in the Einstein-Born-Infeld theory
• Domain walls in Born-Infeld-dilaton background
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Spherical black holes with minimally coupled scalar cloud/hair in Einstein-Born-Infeld gravity
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Scalarized Einstein-Maxwell-scalar Black Holes in Anti-de Sitter Spacetime
• Free energy of a Lovelock holographic superconductor
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source
• Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics
• Phase transition of black holes in Brans--Dicke Born--Infeld gravity through geometrical thermodynamics
• Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
• Holographic Weyl Anomaly and Kounterterms in AdS gravity