On Gravitational anomaly and Hawking radiation near weakly isolated horizon

Abstract

Based on the idea of the work by Wilczek and his collaborators, we consider the gravitational anomaly near weekly isolated horizon. We find that there exists a universal choice of tortoise coordinate for any weakly isolated horizon. Under this coordinate, the leading behavior of a quite arbitrary scalar field near horizon is a 2-dimensional chiral scalar field. This means we can extend the idea of Wilczek and his collaborators to more general cases and show the relation between gravitational anomaly and Hawking radiation is a universal property of black hole horizon.

14 pages

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Cited by in corpus (12)

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• Extremal Isolated Horizon/CFT Correspondence
• Hawking radiation, W-infinity algebra and trace anomalies
• Magnetohydrodynamics from gravity
• Anomalies, effective action and Hawking temperatures of a Schwarzschild black hole in the isotropic coordinates
• Hawking radiation via anomaly cancelation for the black holes of five-dimensional minimal gauged supergravity
• Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Anomalies and Hawking fluxes from the black holes of topologically massive gravity
• Higher Derivative Correction to the Hawking Flux via Trace Anomaly
• Hawking Radiation of Fermionic Field and Anomaly in 2+1 Dimensional Black Holes
• A note on electrical and thermodynamic properties of Isolated Horizon