Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon

TL;DR

This paper applies a gravitational and gauge anomaly-based method to derive Hawking radiation from non-rotating and rotating Kaluza-Klein black holes with squashed horizons, confirming the radiation fluxes match theoretical predictions.

Contribution

It extends the anomaly method to Kaluza-Klein black holes with squashed horizons, including the effects of rotation and effective gauge fields.

Findings

Fluxes match Hawking radiation predictions

Effective U(1) gauge field arises from angular isometry

Method successfully applied to complex black hole geometries

Abstract

Considering gravitational and gauge anomalies at the horizon, a new method that to derive Hawking radiations from black holes has been developed by Wilczek et al. In this paper, we apply this method to non-rotating and rotating Kaluza-Klein black holes with squashed horizon, respectively. For the rotating case, we found that, after the dimensional reduction, an effective U(1) gauge field is generated by an angular isometry. The results show that the gauge current and energy-momentum tensor fluxes are exactly equivalent to Hawking radiation from the event horizon.