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Cited by 261

The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.

Anomalies, Hawking radiations, and regularity in rotating black holes

Open access
Iso, Satoshi, Umetsu, Hiroshi, Wilczek, Frank·2006·Physical Review D

Abstract

This is an extended version of our previous letter [S. Iso, H. Umetsu, and F. Wilczek, Phys. Rev. Lett. 96, 151302 (2006).]. 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 [S. P. Robinson and F. Wilczek, Phys. Rev. Lett. 95, 011303 (2005), S. Iso, H. Umetsu, and F. Wilczek, Phys. Rev. Lett. 96, 151302 (2006).] 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 $r=\ensuremath{\infty}$ are imposed (i.e. Unruh vacuum).

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Metadata

Authors
Iso, S., Umetsu, H., & Wilczek, F.
Venue
Physical Review D
Published
2006-08-16
Volume
74
Issue
4
Pages
44017
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W2059013073
Cited by
261
References
36
FWCI
16.93
Type
journal article
Language
en
Open access
green

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