Free-fall Rainbow BTZ Black Hole
arXiv:1906.11703 · doi:10.1016/j.physletb.2019.135098
Abstract
Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime. To incorporate DSR into general relativity, one could use "Gravity's rainbow", where the spacetime background felt by a test particle would depend on its energy. For a black hole, there are two natural orthonormal frames, the stationary one hovering above it and freely falling one along geodesics. Since the rainbow metric is the metric that the radiated particles "see", a more natural orthonormal frame is the one anchored to the particles. And the cases with the stationary orthonormal frame have been extensively studied in the literature. In this paper, we investigate properties of rainbow BTZ black holes in the scenario with the free-fall orthonormal frame. We first review the thermodynamic properties of a BTZ black hole. Furthermore, we obtain the Free-fall (FF) rainbow BTZ black hole and then calculate its Hawking temperature via the Hamilton-Jacobi method. Finally, we discuss the thermodynamic properties of a FF stationary rainbow BTZ black hole .
arXiv comment18 pages, 2 figures. arXiv admin note: text overlap with arXiv:1602.08686, arXiv:1507.03768
References in corpus (67)
- The Black Hole in Three Dimensional Space Time
- Lorentz-Violating Extension of the Standard Model
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- High-Energy Tests of Lorentz Invariance
- The Generalized Uncertainty Principle and Black Hole Remnants
- Testable scenario for Relativity with minimum-length
- Quantum Spacetime Phenomenology
- Generalized Lorentz invariance with an invariant energy scale
- Particle production and complex path analysis
- Gravity's Rainbow
- Self-Interaction Correction to Black Hole Radiance
- Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
- Tunnelling, Temperature and Taub-NUT Black Holes
- Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV- paradoxes
- Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
- Effect of Self-Interaction on Charged Black Hole Radiance
- Radiation via Tunneling from a de Sitter Cosmological Horizon
- On the gravitational field of a mass point according to Einstein's theory
- Hawking Radiation as Tunneling through the Quantum Horizon
- TeV Astrophysics Constraints on Planck Scale Lorentz Violation
- New limits on Planck scale Lorentz violation in QED
- Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
- Thermodynamic Curvature of the BTZ Black Hole
- Thermodynamics of modified black holes from gravity's rainbow
- Bound on Lorentz- and CPT-Violating Boost Effects for the Neutron
- Remnant for all Black Objects due to Gravity's Rainbow
- Nonsingular Rainbow Universes
- Remarks on Hawking radiation as tunneling from the BTZ black holes
- Absence of Black Holes at LHC due to Gravity's Rainbow
- Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
- Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
- Black Hole Remnant from Gravity's Rainbow
- Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
- Observing remnants by fermions' tunneling
- Black Holes in Gauss-Bonnet Gravity's Rainbow
- Remnants of Black Rings from Gravity's Rainbow
- Entropy and temperature of black holes in a gravity's rainbow
- Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
- Effects of quantum gravity on black holes
- Remnants, fermions' tunnelling and effects of quantum gravity
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Rainbow universe
- Fermion's tunnelling with effects of quantum gravity
- Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
- Critical behavior in 2+1 dimensional black holes
- Entropy of the BTZ Black Hole in 2+1 Dimensions
- The Big Bounce in Rainbow Universe
- Thermodynamic phase transition in the rainbow Schwarzschild black hole
- Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
- Branes in Gravity's Rainbow
- Asymptotically charged BTZ Black Holes in Gravity's Rainbow
- Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
- The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model
- Remarks on remnants by fermions' tunnelling from black strings
- Vaidya Spacetime in Massive Gravity's Rainbow
- Does Gravity's Rainbow induce Inflation without an Inflaton?
- Lorentz violation induced vacuum birefringence and its astrophysical consequences
- Thermodynamics and Luminosities of Rainbow Black Holes
- Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
- Thermodynamics of BTZ Black Holes in Gravity's Rainbow
- Null particle solutions in three-dimensional (anti-) de Sitter spaces
- Free-fall Frame Black Hole in Gravity's Rainbow
- The MAGIC Telescope - Prospects for GRB research
- Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
- Hawking radiation screening and Penrose process shielding in the Kerr black hole