Charged BTZ black holes in the context of massive gravity's rainbow

Abstract

BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the $Ad{S}_3/CF{T}_2$. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.

23 pages with 8 captioned figures, journal version

References in corpus (28)

• Resummation of Massive Gravity
• Geometrothermodynamics
• Thermodynamics of Black Holes in Massive Gravity
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Black hole mass and angular momentum in topologically massive gravity
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Massive gravitons as dark matter and gravitational waves
• Gravitational Origin of Dark Matter
• Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
• Warped Supersymmetry Breaking
• Remnants of Black Rings from Gravity's Rainbow
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Thermodynamic geometry of black holes in f(R) gravity
• Towards the graviton from spinfoams: higher order corrections in the 3d toy model
• Vaidya Spacetime for Galileon Gravity's Rainbow
• Gravitational wave signal from massive gravity
• F(R) gravity's rainbow and its Einstein counterpart
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Holographic Thermalization and Generalized Vaidya-AdS Solutions in Massive Gravity
• Black Hole Thermodynamics and Massive Gravity
• Stability and Anti-evaporation of the Schwarzschild-de Sitter Black Holes in Bigravity
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time
• Geometric thermodynamics: black holes and the meaning of the scalar curvature
• Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology
• Multi-String Theories, Massive Gravity and the AdS/CFT Correspondence

Cited by in corpus (59)

• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Greybody factor for black string in dRGT massive gravity
• Quantum gravity effects on Hořava-Lifshitz black hole
• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Neutron stars structure in the context of massive gravity
• Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory
• Thermal fluctuations of charged black holes in gravity's rainbow
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• Deformed Starobinsky model in gravity's rainbow
• Exponential corrected thermodynamics of black holes
• Vaidya Spacetime in Massive Gravity's Rainbow
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• EUP-corrected thermodynamics of BTZ black hole
• Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
• $Ad{S}_4$ dyonic black holes in gravity's rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Thermodynamics of Rotating Kaluza-Klein Black Holes in Gravity's Rainbow
• Black hole solution and thermal properties in $4D$ AdS Gauss-Bonnet massive gravity
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Cosmic string in gravity's rainbow
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Inflation from $f(R)$ theories in gravity's rainbow
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Rotating black string in dRGT massive gravity
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Black String in Massive Gravity
• GUP corrected Casimir Wormholes with Electric Charge in $f(R,L_m)$ Gravity
• The thermodynamics and phase transition of a rainbow black hole
• Local free-fall temperatures of charged BTZ black holes in massive gravity
• Thermodynamic stability of a new three dimensional regular black hole
• Building a linear equation of state for trapped gravitons from finite size effects and the Schwarzschild black hole case
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Entropy spectrum of charged BTZ black holes in massive gravity's rainbow
• Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• Gravity Rainbow Effects on Higher Curvature Modification of R2 inflation
• Conformal transformation route to gravity's rainbow
• The Phase Transition of $4D$ Yang-Mills Charged GB AdS Black Hole with Cloud of Strings
• Observational Constraints on Asymptotic Safety Inflation in Gravity Rainbow
• Kiselev/CFT correspondence and black hole thermodynamics
• Complexity of the Einstein-Born-Infeld-Massive Black holes