Asymptotic charged BTZ black hole solutions

Abstract

The well-known $(2+1)$-dimensional Reissner-Nordstrom (BTZ) black hole can be generalized to three dimensional Einstein-nonlinear electromagnetic field, motivated from obtaining a finite value for the self-energy of a pointlike charge. Considering three types of nonlinear electromagnetic fields coupled with Einstein gravity, we derive three kinds of black hole solutions which their asymptotic properties are the same as charged BTZ solution. In addition, we calculate conserved and thermodynamic quantities of the solutions and show that they satisfy the first law of thermodynamics. Finally, we perform a stability analysis in the canonical ensemble and show that the black holes are stable in the whole phase space.

18 pages, 10 figures

References in corpus (52)

• The Black Hole in Three Dimensional Space Time
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• On non-abelian generalisation of Born-Infeld action in string theory
• Holography and hydrodynamics: diffusion on stretched horizons
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• The (2+1)-Dimensional Black Hole
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Holographic Superconductors with Higher Curvature Corrections
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Higher-order corrections to mass-charge relation of extremal black holes
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Holographic superconductors in the Born-Infeld electrodynamics
• OM Theory in Diverse Dimensions
• On the Thermodynamic Geometry of BTZ Black Holes
• Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes
• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Bound States of D-Branes and the Non-Abelian Born-Infeld Action
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Strings in the Extended BTZ Spacetime
• Shear Viscosity from AdS Born-Infeld Black Holes
• Ricci flat rotating black branes with a conformally invariant Maxwell source
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Nonlinear electrodynamics and the gravitational redshift of highly magnetised neutron stars
• Nonlinear electrodynamics and the surface redshift of pulsars
• Charged BTZ-like Black Holes in Higher Dimensions
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• alpha'-Corrections to Heterotic Superstring Effective Action Revisited
• Microscopic entropy of the charged BTZ black hole
• Slowly Rotating Black Holes in Einstein-Generalized Maxwell Gravity
• Strings in extremal BTZ black holes
• Near-horizon limit of the charged BTZ black hole and AdS_2 quantum gravity
• Can Quantum-Corrected BTZ Black Hole Anti-Evaporate?
• Black Hole Geometries in Noncommutative String Theory
• The Cardy-Verlinde formula and entropy of the charged rotating BTZ black hole
• The low energy effective Lagrangian for photon interactions in any dimension
• Born--Infeld gravitation: Spherically symmetric static solutions

Cited by in corpus (104)

• Asymptotic Reissner-Nordstrom black holes
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Introductory Notes on Non-linear Electrodynamics and its Applications
• A new approach toward geometrical concept of black hole thermodynamics
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Dilaton black holes coupled to nonlinear electrodynamic field
• $P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Acceleration of Universe by Nonlinear Electromagnetic Fields
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• Thermodynamics of topological black holes in Brans-Dicke gravity with a power-law Maxwell field
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Extended phase space of AdS Black Holes in Einstein-Gauss-Bonnet gravity with a quadratic nonlinear electrodynamics
• Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
• Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole
• F(R) gravity's rainbow and its Einstein counterpart
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Falsifying cosmological models based on a non-linear electrodynamics
• Thermodynamic properties of asymptotically Reissner-Nordstrom black holes
• Thermodynamics of third order Lovelock adS black holes in the presence of Born-Infeld type nonlinear electrodynamics
• Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity
• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• Remarks on Heisenberg-Euler-type electrodynamics
• Magnetic branes in Gauss-Bonnet gravity with nonlinear electrodynamics: correction of magnetic branes in Einstein-Maxwell gravity
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Thermodynamic instability of topological black holes with nonlinear source
• A Smarr formula for charged black holes in nonlinear electrodynamics
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• Einstein-Born-Infeld black holes with a scalar hair in three-dimensions
• Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
• Notes on Born-Infeld-type electrodynamics
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Holographic conductivity of holographic superconductors with higher order corrections
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Joule-Thomson expansion of the quasitopological black holes
• Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism
• One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics
• (2+1)-dimensional solutions in $F(R)$ gravity
• Spacetimes dressed with stealth electromagnetic fields
• Mimetic gravity in $(2+1)$-dimensions
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• A new model of regular black hole in $(2+1)$ dimensions
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics
• Conductivity of the holographic p-wave superconductors with higher order corrections
• Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field
• Charge screening by thin-shells in a 2+1-dimensional regular black hole
• Third order quasi-topological black hole with power-law Maxwell nonlinear source
• Nonlinear electromagnetic fields and symmetries
• Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics
• Refractive index in generalized superconductors with Born-Infeld electrodynamics
• Einstein-non-linear Maxwell-Yukawa black hole
• Dyonically Charged Black Holes Arising in Generalized Born--Infeld Theory of Electromagnetism
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• Holographic insulator/superconductor transition with exponential nonlinear electrodynamics probed by entanglement entropy
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Thermodynamics and phase transition of BTZ black hole in a cavity
• Gauss-Bonnet holographic superconductors in exponential nonlinear electrodynamics
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• Generalized Born-Infeld-like models for kinks and branes
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Exponential nonlinear electrodynamics and backreaction effects on Holographic superconductor in the Lifshitz black hole background
• Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with nonlinear source
• Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• A more realistic holographic model of color superconductivity with the higher derivative corrections
• Entropic force between two horizons of dilaton black holes with a power-Maxwell field
• Gravitational Lensing in a Model of Nonlinear Electrodynamics: The case for electrically and magnetically charged compact objects
• Nonlinearly charged dilatonic black holes and their Brans-Dicke counterpart: Energy dependent spacetime
• Entropy bounds and nonlinear electrodynamics
• New solutions of exotic charged black holes and their stability
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• A new nonlinear electrodynamics and electrically charged regular black holes
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Exact Multicentered Static Point Charge Source Distributions in the Born-Infeld Theory of Nonlinear Electromagnetism and Presence of Electric and Magnetic Currents
• Bekenstein Inequalities and Nonlinear Electrodynamics
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
• Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
• Quantum Collapse of a Charged $n$-dimensional BTZ-like Domain Wall
• Non-Abelian Exponential Yang-Mills AdS Black Brane and Transport Coefficients
• Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics
• Probing modified plasma waves in non-linear electrodynamics
• Thermodynamical and dynamical stability of Einstein-Maxwell and extremal Einstein-Born-Infeld thin shells in $(2+1)$ dimensions
• Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents