Gravitational anomalies: a recipe for Hawking radiation

Abstract

We explore the method of Robinson and Wilczek for deriving the Hawking temperature of a black hole. In this method, the Hawking radiation restores general covariance in an effective theory of near-horizon physics which otherwise exhibits a gravitational anomaly at the quantum level. The method has been shown to work for broad classes of black holes in arbitrary spacetime dimensions. These include static black holes, accreting or evaporating black holes, charged black holes, rotating black holes, and even black rings. In the case of charged and rotating black holes, the expected super-radiant current is also reproduced.

7 pages; This essay received an "Honorable Mention" in the 2007 Essay Competition of the Gravity Research Foundation; (v2) Short comments and references added; (v3) Minor revisions and updated references to agree with published version

References in corpus (8)

• Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
• Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
• Hawking radiation from (2+1)-dimensional BTZ black holes
• Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces
• Higher-spin Currents and Thermal Flux from Hawking Radiation
• Fluxes of Higher-spin Currents and Hawking Radiations from Charged Black Holes
• Hawking radiation from black holes in de Sitter spaces
• On Hawking radiation from black rings

Cited by in corpus (15)

• Fermions tunnelling from the charged dilatonic black holes
• Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes
• On Hawking radiation from black rings
• Anomalies and Hawking radiation from the Reissner-Nordström black hole with a global monopole
• Hawking radiation, W-infinity algebra and trace anomalies
• Hawking radiation of a vector field and gravitational anomalies
• Hawking Radiation of Black Rings from Anomalies
• 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
• Hawking radiation in Reissner-Nordström blackhole with a global monopole via Covariant anomalies and Effective action
• Hawking Radiation of Black p-Branes from Gravitational Anomaly
• Gravitational Anomaly and Hawking Radiation of Brane World Black Holes
• Anomalies and Hawking fluxes from the black holes of topologically massive gravity
• Higher Derivative Correction to the Hawking Flux via Trace Anomaly