Modified (A)dS Schwarzschild black holes in Rainbow spacetime

Abstract

A modified (Anti-)de Sitter Schwarzschild black hole solution is presented in the framework of rainbow gravity with a cosmological constant. Its thermodynamical properties are investigated. In general the temperature of modified black holes is dependent on the energy of probes which take the measurement. However, a notion of intrinsic temperature can be introduced by identifying these probes with radiation particles emitted from black holes. It is interesting to find that the Hawking temperature of this sort of black holes can be reproduced by employing the extended uncertainty principle and modified dispersion relations to the ordinary (A)dS Schwarzschild black holes.

11 pages. The version to appear in CQG

References in corpus (40)

• Lorentz-Violating Extension of the Standard Model
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Nonperturbative Evolution Equation for Quantum Gravity
• High-Energy Tests of Lorentz Invariance
• The Generalized Uncertainty Principle and Black Hole Remnants
• First Observation of the Greisen-Zatsepin-Kuzmin Suppression
• Generalized Lorentz invariance with an invariant energy scale
• Gravity's Rainbow
• A time varying speed of light as a solution to cosmological puzzles
• Ultraviolet modifications of dispersion relations in effective field theory
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Superluminary Universe: A Possible Solution to the Initial Value Problem in Cosmology
• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• Planck-scale modified dispersion relations and Finsler geometry
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Introduction to Doubly Special Relativity
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• TeV Astrophysics Constraints on Planck Scale Lorentz Violation
• Black Hole Remnants and Dark Matter
• New limits on Planck scale Lorentz violation in QED
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Deformed Special Relativity as an effective flat limit of quantum gravity
• Thermodynamics of modified black holes from gravity's rainbow
• Relic Dark energy from Trans-Planckian Regime
• Phenomenology of Doubly Special Relativity
• Falsifiable predictions from semiclassical quantum gravity
• Modified dispersion relations and black hole physics
• Entropy and temperature of black holes in a gravity's rainbow
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• Rainbow universe
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Asymptotic Flatness in Rainbow Gravity
• Deformed Special Relativity as an effective theory of measurements on quantum gravitational backgrounds
• Length Uncertainty in a Gravity's Rainbow Formalism
• Modified Dispersion Relations from the Renormalization Group of Gravity
• Deformed Special Relativity in Position Space
• The kinematics of particles moving in rainbow spacetime
• Time delay of light signals in an energy-dependent spacetime metric

Cited by in corpus (52)

• Remnant for all Black Objects due to Gravity's Rainbow
• Nonsingular Rainbow Universes
• Charged Dilatonic Black Holes in Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
• Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
• Black Hole Remnant from Gravity's Rainbow
• Remnants of Black Rings from Gravity's Rainbow
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Nonsingular universe in massive gravity's rainbow
• Thermal fluctuations of charged black holes in 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
• A Proposal for Testing Gravity's Rainbow
• The Big Bounce in Rainbow Universe
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• F(R) gravity's rainbow and its Einstein counterpart
• Branes in Gravity's Rainbow
• 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
• Black Hole Complementarity in Gravity's Rainbow
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Vaidya Spacetime in Massive Gravity's Rainbow
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Cosmic string in gravity's rainbow
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Thermodynamics and Luminosities of Rainbow Black Holes
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
• 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
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Bouncing universe with modified dispersion relation
• Vaidya Spacetime in Brans-Dicke Gravity's Rainbow
• Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
• Minimal length effects in black hole thermodynamics from tunneling formalism
• Modified dispersion relations and a potential explanation of the EDGES anomaly
• Thermal dimensional reduction and black hole evaporation
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Free-fall Rainbow BTZ Black Hole
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Thermodynamics of black holes in rainbow gravity
• Conformal transformation route to gravity's rainbow
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity
• From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory