Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
arXiv:0709.0167 · doi:10.1007/s10714-008-0642-4
Abstract
Recently, Banerjee and Kulkarni (R. Banerjee, S. Kulkarni, arXiv:0707.2449 [hep-th]) suggested that it is conceptually clean and economical to use only the covariant anomaly to derive Hawking radiation from a black hole. Based upon this simplified formalism, we apply the covariant anomaly cancellation method to investigate Hawking radiation from a modified Schwarzschild black hole in the theory of rainbow gravity. Hawking temperature of the gravity's rainbow black hole is derived from the energy-momentum flux by requiring it to cancel the covariant gravitational anomaly at the horizon. We stress that this temperature is exactly the same as that calculated by the method of cancelling the consistent anomaly.
arXiv comment5 pages
References in corpus (27)
- Lorentz invariance with an invariant energy scale
- Generalized Lorentz invariance with an invariant energy scale
- Gravity's Rainbow
- Relationship between Hawking Radiation and Gravitational Anomalies
- Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
- Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Hawking radiation from dilatonic black holes via anomalies
- Hawking Radiation from Rotating Black Holes and Gravitational Anomalies
- Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
- Hawking Radiation and Covariant Anomalies
- Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
- Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
- Two-dimensional gravitational anomalies, Schwinger terms and dispersion relations
- Modified dispersion relations and black hole physics
- Quantum Anomalies at Horizon and Hawking Radiations in Myers-Perry Black Holes
- Entropy and temperature of black holes in a gravity's rainbow
- Hawking radiation from (2+1)-dimensional BTZ black holes
- Gravitational Anomalies, Hawking Radiation, and Spherically Symmetric Black Holes
- Anomalies of the Achucarro-Ortiz black hole
- Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces
- Hawking radiation from black holes in de Sitter spaces
- Hawking Radiation from Non-Extremal D1-D5 Black Hole via Anomalies
- On Hawking radiation from black rings
- Anomalies and Hawking radiation from the Reissner-Nordström black hole with a global monopole
- Anomaly Analysis of Hawking Radiation from Acoustic Black Hole
- Hawking radiation of a vector field and gravitational anomalies
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- Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
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- F(R) gravity's rainbow and its Einstein counterpart
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- Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
- Gravitational Collapse in Gravity's Rainbow
- Self-sustained wormholes in modified dispersion relations
- Time Crystals from Minimum Time Uncertainty
- Black Hole Complementarity in Gravity's Rainbow
- The Path Integral Quantization corresponding to the Deformed Heisenberg Algebra
- Vaidya Spacetime in Massive Gravity's Rainbow
- Deformation of the Wheeler-DeWitt Equation
- Thermodynamic topology of topological black hole in -ModMax gravity's rainbow
- Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies
- Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
- Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
- Accelerating AdS black holes in gravity's rainbow
- Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
- Three dimensional dilatonic gravity's rainbow: exact solutions
- Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
- Discreteness of time in the evolution of the universe
- The thermodynamics and phase transition of a rainbow black hole
- Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
- Vaidya Spacetime in Brans-Dicke Gravity's Rainbow
- Lorentz Symmetry Breaking in Superspace
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- Thermodynamics of charged AdS black holes in rainbow gravity
- Back reaction, covariant anomaly and effective action