Thermodynamics of modified black holes from gravity's rainbow

Abstract

We study the thermodynamics of modified black holes proposed in the context of gravity's rainbow. A notion of intrinsic temperature and entropy for these black holes is introduced. In particular for a specific class of modified Schwarzschild solutions, their temperature and entropy are obtained and compared with those previously obtained from modified dispersion relations in deformed special relativity. It turns out that the results of these two different strategies coincide, and this may be viewed as a support for the proposal of deformed equivalence principle.

3 pages, Revtex

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• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Black Holes in Gauss-Bonnet Gravity's Rainbow
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Singularities and the Finale of Black Hole Evaporation
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Nonsingular universe in massive gravity's rainbow
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• The Big Bounce in Rainbow Universe
• Modified Dispersion Relations and Black Hole Entropy
• F(R) gravity's rainbow and its Einstein counterpart
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Self-sustained wormholes in modified dispersion relations
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Black Hole Complementarity in Gravity's Rainbow
• Curved spacetimes with local $\kappa$-Poincaré dispersion relation
• Regular Black Holes in Rainbow Gravity
• On the initial singularity problem in rainbow cosmology
• Bouncing universe in a heat bath
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Electric Charges and Magnetic Monopoles in Gravity's Rainbow
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Effect of rainbow function on the structural properties of dark energy star
• $Ad{S}_4$ dyonic black holes in gravity's rainbow
• Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
• Quantum Rainbow Cosmological Model With Perfect Fluid
• Dark Energy Star in Gravity's Rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• The kinematics of particles moving in rainbow spacetime
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Thermodynamics and Luminosities of Rainbow Black Holes
• Cosmic string in gravity's rainbow
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• Gravity's rainbow: a bridge between LQC and DSR
• Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes
• 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
• Free-fall Frame Black Hole in Gravity's Rainbow
• Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Bouncing universe from a modified dispersion relation
• Bouncing universe with modified dispersion relation
• How can rainbow gravity affect on gravitational force?
• Modified regular black holes with time delay and 1-loop quantum correction
• Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
• Black hole evaporation within a momentum-dependent metric
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Thermal dimensional reduction and black hole evaporation
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Rainbow Rindler metric and Unruh effect
• Free-fall Rainbow BTZ Black Hole
• Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Conformal transformation route to gravity's rainbow
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• KG- oscillators in a spinning cosmic string spacetime and an external magnetic field
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity