Anomalies, Hawking radiations, and regularity in rotating black holes

Satoshi Iso, Hiroshi Umetsu, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

228 Scopus citations


This is an extended version of our previous letter. In this paper we consider rotating black holes and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at the horizon. By using a dimensional reduction technique, each partial wave of quantum fields in a d=4 rotating black hole background can be interpreted as a (1+1)-dimensional charged field with a charge proportional to the azimuthal angular momentum m. From this and the analysis on Hawking radiation from charged black holes, we show that the total flux of Hawking radiation from rotating black holes can be universally determined in terms of the values of anomalies at the horizon by demanding gauge invariance and general coordinate covariance at the quantum level. We also clarify our choice of boundary conditions and show that our results are consistent with the effective action approach where regularity at the future horizon and vanishing of ingoing modes at r=∞ are imposed (i.e. Unruh vacuum).

Original languageEnglish (US)
Article number044017
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
StatePublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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