Gravitational Anomalies, Hawking Radiation, and Spherically Symmetric Black Holes

Abstract

Motivated by the recent work of Robinson and Wilczek, we evaluate the gravitational anomaly of a chiral scalar field in a Vaidya spacetime of arbitrary mass function, and thus the outgoing flux from the time-dependent horizon in that spacetime. We show that this flux differs from that of a perfect blackbody at a fixed temperature. When this flux is taken into account, general covariance in that spacetime is restored. We also generalize their results to the most general static, and spherically symmetric spacetime.

arXiv comment13 pages, no figure, LaTeX; (v2) rephrasing of Section 1, new results in Section 2, references updated and added. To appear in JHEP

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