Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
arXiv:1607.06185 · doi:10.1140/epjc/s10052-016-4393-1
Abstract
In this paper, we have extended the previous study of the thermodynamics and phase transition of the Schwarzschild black hole in the rainbow gravity to the Schwarzschild-AdS black hole where metric depends on the energy of a probe. Making use of the Heisenberg uncertainty principle and the modified dispersion relation, we have obtained the modified local Hawking temperature and thermodynamic quantities in an isothermal cavity. Moreover, we carry out the analysis of constant temperature slices of a black hole. As a result, we have shown that there also exists another Hawking-Page-like phase transition in which case a locally stable small black hole tunnels into a globally stable large black hole as well as the standard Hawking-Page phase transition from a hot flat space to a black hole.
arXiv comment24 pages, 9 figures, references added, version to appear in EPJC
References in corpus (62)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- The Generalized Uncertainty Principle and Black Hole Remnants
- Quantum Spacetime Phenomenology
- Generalized Lorentz invariance with an invariant energy scale
- Logarithmic correction to the Bekenstein-Hawking entropy
- General Logarithmic Corrections to Black Hole Entropy
- Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
- Planck-scale modified dispersion relations and Finsler geometry
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
- Black hole thermodynamics with generalized uncertainty principle
- Thermodynamics of modified black holes from gravity's rainbow
- Universal canonical black hole entropy
- Remnant for all Black Objects due to Gravity's Rainbow
- Nonsingular Rainbow Universes
- Charged Dilatonic Black Holes in Gravity's Rainbow
- Black hole entropy without brick walls
- Absence of Black Holes at LHC due to Gravity's Rainbow
- Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
- Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
- Black Hole Remnant from Gravity's Rainbow
- Modified dispersion relations and black hole physics
- Black Holes in Gauss-Bonnet Gravity's Rainbow
- Entropy of the Schwarzschild black hole to all orders in the Planck length
- Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
- Entropy and temperature of black holes in a gravity's rainbow
- Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
- Quantum Time Uncertainty in a Gravity's Rainbow Formalism
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Hawking radiation as tunneling from Gravity's rainbow
- Rainbow universe
- Rainbow gravity and scale-invariant fluctuations
- Particle propagation and effective space-time in Gravity's Rainbow
- Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
- Modified dispersion relations and (A)dS Schwarzschild Black holes
- The Big Bounce in Rainbow Universe
- Modified Dispersion Relations and Black Hole Entropy
- Asymptotic Flatness in Rainbow Gravity
- Thermodynamic phase transition in the rainbow Schwarzschild black hole
- Interpreting doubly special relativity as a modified theory of measurement
- Branes in Gravity's Rainbow
- Self-sustained wormholes in modified dispersion relations
- Distorting General Relativity: Gravity's Rainbow and f(R) theories at work
- Black Hole Complementarity in Gravity's Rainbow
- Intermediate inflation from rainbow gravity
- On the initial singularity problem in rainbow cosmology
- Length Uncertainty in a Gravity's Rainbow Formalism
- Taking the Temperature of a Black Hole
- Does Gravity's Rainbow induce Inflation without an Inflaton?
- Extended disformal approach in the scenario of Rainbow Gravity
- The kinematics of particles moving in rainbow spacetime
- Thermodynamics and Luminosities of Rainbow Black Holes
- Singularity Free Rainbow Universe
- Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
- Local free-fall Temperature of GMGHS Black Holes
- Two critical phenomena in the exactly soluble quantized Schwarzschild black hole
- Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
- Remnants of black holes from rainbow gravity in terms of a new VSL theory
Cited by in corpus (29)
- Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
- Charged BTZ black holes in the context of massive gravity's rainbow
- Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
- Thermal fluctuations of charged black holes in gravity's rainbow
- PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
- Regular Black Holes in Rainbow Gravity
- Thermal analysis of photon-like particles in rainbow gravity
- KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
- dyonic black holes in gravity's rainbow
- Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
- Dark Energy Star in Gravity's Rainbow
- Rainbow black hole thermodynamics and the generalized uncertainty principle
- Cosmic string in gravity's rainbow
- Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
- Imperfect fluid cosmological model in modified gravity
- Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
- Geometrothermodynamic Analysis and - criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
- FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
- The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
- Three-dimensional energy-dependent -metric: black hole solutions
- Correlations between emission events in Rainbow Gravity
- Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
- Rainbow Rindler metric and Unruh effect
- GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
- Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
- Thermodynamics of charged AdS black holes in rainbow gravity
- Exploring black hole mechanics in cotangent bundle geometries
- Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
- The Varying Speed of Light in Eddington-inspired Born-Infield Gravity with Rainbow Metric