Black hole thermodynamics in the presence of nonlinear electromagnetic fields

Abstract

As the interaction between the black holes and highly energetic infalling charged matter receives quantum corrections, the basic laws of black hole mechanics have to be carefully rederived. Using the covariant phase space formalism, we generalize the first law of black hole mechanics, both "equilibrium state" and "physical process" versions, in the presence of nonlinear electrodynamics fields, defined by Lagrangians depending on both quadratic electromagnetic invariants, $F_{ab}{F}^{ab}$ and $F_{ab}{\star F}^{ab}$. Derivation of this law demands a specific treatment of the Lagrangian parameters, similar to embedding of the cosmological constant into thermodynamic context. Furthermore, we discuss the validity of energy conditions, several complementing proofs of the zeroth law of black hole electrodynamics and some aspects of the recently generalized Smarr formula, its (non-)linearity and relation to the first law.

arXiv comment20 pages (two columns), 2 figures; ver.3: version accepted for publication in Physical Review D (several additional technical comments and references; one paragraph added to the "Discussion")

References in corpus (87)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Enthalpy and the Mechanics of AdS Black Holes
• General relativity as an effective field theory: The leading quantum corrections
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• The Thermodynamics of Black Holes
• The Spectral Action Principle
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Gauge Theory on Noncommutative Spaces
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Construction of Regular Black Holes in General Relativity
• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Generating rotating regular black hole solutions without complexification
• Eddington's theory of gravity and its progeny
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Higher-dimensional black holes with a conformally invariant Maxwell source
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Born-Infeld black holes in the presence of a cosmological constant
• Rotating Regular Black Hole Solution
• Born-Infeld Black Holes in (A)dS Spaces
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
• A Primer on Energy Conditions
• Black hole solutions in Euler-Heisenberg theory
• Asymptotic Reissner-Nordstrom black holes
• Light-by-Light Scattering Constraint on Born-Infeld Theory
• Black Hole Entropy in the presence of Chern-Simons Terms
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Magnetic and electric properties of quantum vacuum
• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• Nonlinear electrodynamics with the maximum allowable symmetries
• Einstein-Euler-Heisenberg Theory and charged black holes
• Corrected form of the first law of thermodynamics for regular black holes
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• Global Extensions of Spacetimes Describing Asymptotic Final States of Black Holes
• Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter
• Smarr's formula for black holes with non-linear electrodynamics
• Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems
• The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Comment on "Construction of regular black holes in general relativity"
• Thermodynamics of the Euler-Heisenberg-AdS black hole
• Electrodynamics on $\kappa$-Minkowski space-time
• Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V terms
• Mass and Free Energy of Lovelock Black Holes
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
• Taub-NUT solutions in conformal electrodynamics
• First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories
• Black hole scalarisation from the breakdown of scale-invariance
• First law and Smarr formula of black hole mechanics in nonlinear gauge theories
• Quasitopological electromagnetism and black holes
• Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models
• Electromagnetic Quasitopological Gravities
• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
• Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
• Gravitational Chern-Simons Lagrangians and black hole entropy
• Quantum field theory with the generalized uncertainty principle I: scalar electrodynamics
• Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics
• Redundant and Physical Black Hole Parameters: Is there an independent physical dilaton charge?
• Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics
• Constraining nonlinear corrections to Maxwell electrodynamics using $\gamma \gamma$ scattering
• Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes
• Thermodynamic Volume and the Extended Smarr Relation
• Spacetimes dressed with stealth electromagnetic fields
• The invariants of the electromagnetic field
• Stability, Instability, Canonical Energy and Charged Black Holes
• Nonlinear electromagnetic fields and symmetries
• On the various aspects of electromagnetic potentials in spacetimes with symmetries
• Does three dimensional electromagnetic field inherit the spacetime symmetries?
• Observational constraints on electromagnetic Born-Infeld cosmology
• A Note on Smarr Relation and Coupling Constants
• Killing Horizons as Equipotential Hypersurfaces
• Noncommutativity and the Weak Cosmic Censorship
• Singularities in Quantum Corrected Space-times
• Spectral action approach to higher derivative gravity
• Quantization and simulation of Born-Infeld non-linear electrodynamics on a lattice
• Schwarzschild spacetime immersed in test nonlinear electromagnetic fields

Cited by in corpus (42)

• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Taub-NUT solutions in conformal electrodynamics
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• Constraints on singularity resolution by nonlinear electrodynamics
• No Cauchy Horizon Theorem for Nonlinear Electrodynamics Black Holes with Charged Scalar Hairs
• Coupling Constants as Conserved Charges in Black Hole Thermodynamics
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics
• Quasinormal modes, greybody factors and thermodynamics of four dimensional AdS black holes in Critical Gravity
• Light Propagation in the vicinity of the ModMax black hole
• The Kiselev solution in power-Maxwell electrodynamics
• Nonlinear electromagnetic fields in strictly stationary spacetimes
• Weinhold geometry and thermodynamics of Bardeen AdS black holes
• QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Exact multiblack hole spacetimes in Einstein-ModMax theory
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Lagrangian reverse engineering for regular black holes
• Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics
• $Ad{S}_2$ holography and ModMax
• Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions
• Comparative of light propagation in Born-Infeld, Euler-Heisenberg and ModMax nonlinear electrodynamics
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Topological Mod(A)Max AdS black holes
• Generalizations and challenges for the spacetime block-diagonalization
• ModMax meets Susy
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Weighing the curvature invariants
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• Hexadecapole at the heart of nonlinear electromagnetic fields
• Black hole solutions in Cotton gravity coupled to nonlinear electrodynamics
• Coupling ModMax theory precursor with scalars, and BIon-type solutions
• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
• On Current-Squared Flows and ModMax Theories
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity
• Conformal scalar NUT-like dyons in conformal electrodynamics
• Thermodynamical and dynamical stability of Einstein-Maxwell and extremal Einstein-Born-Infeld thin shells in $(2+1)$ dimensions