Abstract
In this paper, we mainly investigate the anomalous effective action of the rotating Taub-NUT black hole and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at the event horizon. With the method of a dimensional reduction technique, that is, the (1+1) dimensional quantum anomalies equation, we successfully obtain the simplified metric near the horizon. In addition, the covariant energy-momentum tensor that is related with Hawking temperature are calculated in this black hole.
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