Asymptotically charged BTZ Black Holes in Gravity's Rainbow

Abstract

Motivated by the wide applications of BTZ black holes and interesting results of gravity's rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes thermodynamics related to AdS/CFT correspondence, one may regard gravity's rainbow to to encode quantum gravity effects into the black hole solutions. We take into account the various models of linear and nonlinear electrodynamics and study their effects on the gravity's rainbow spacetime. We also examine thermal stability and find that obtained three dimensional rainbow black holes are thermally stable.

8 pages, no figure, Accepted in GERG

References in corpus (46)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Discreteness of Space from the Generalized Uncertainty Principle
• Three-Dimensional Gravity Revisited
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Asymptotic charged BTZ black hole solutions
• Asymptotic Reissner-Nordstrom black holes
• Shear Viscosity from Effective Couplings of Gravitons
• Remnant for all Black Objects due to Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Black Holes in Gauss-Bonnet Gravity's Rainbow
• Remnants of Black Rings from Gravity's Rainbow
• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Rotating Black String with Nonlinear Source
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Charged BTZ-like Black Holes in Higher Dimensions
• A Proposal for Testing Gravity's Rainbow
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• Branes in Gravity's Rainbow
• Gravitational Collapse in Gravity's Rainbow
• Time Crystals from Minimum Time Uncertainty
• Thermodynamic properties of asymptotically Reissner-Nordstrom black holes
• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
• Slowly Rotating Black Holes in Einstein-Generalized Maxwell Gravity
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• Thermodynamics of rotating thin shells in the BTZ spacetime
• Nonlinear Electrodynamics and QED
• Entropy of thin shells in a (2+1)-dimensional asymptotically AdS spacetime and the BTZ black hole limit
• Thermodynamics and Luminosities of Rainbow Black Holes
• (2+1)-dimensional solutions in $F(R)$ gravity
• $f(R)$-Modified Gravity, Wald Entropy, and the Generalized Uncertainty Principle
• Nonlinear optical analogies in quantum electrodynamics
• Imaginary Interactions with Minimum Length
• Power Law Corrections to BTZ Black Hole Entropy
• Effective Potential Structure of the BTZ Black Hole in Rainbow Gravity

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• Nonsingular universe in massive gravity's rainbow
• Thermal fluctuations of charged black holes in gravity's rainbow
• Dilaton black holes with power law electrodynamics
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• A new model of regular black hole in $(2+1)$ dimensions
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Thermodynamics of BTZ Black Holes in Gravity's Rainbow
• Generalized Born-Infeld-like models for kinks and branes
• Thermodynamic stability of a new three dimensional regular black hole
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Rainbow Rindler metric and Unruh effect
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Free-fall Rainbow BTZ Black Hole
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• KG- oscillators in a spinning cosmic string spacetime and an external magnetic field