Hawking Radiation from Rotating Black Holes and Gravitational Anomalies

TL;DR

This paper demonstrates a method to derive Hawking radiation from rotating black holes using gravitational anomalies, extending the approach to higher dimensions and validating it with trace anomaly calculations.

Contribution

It introduces a gravitational anomaly approach to derive Hawking radiation from rotating black holes, including higher-dimensional cases, and confirms the method with trace anomaly analysis.

Findings

Hawking radiation can be derived from gravitational anomalies near the horizon.

The method applies to Kerr and higher-dimensional Myers-Perry black holes.

Trace anomaly calculations support the boundary conditions used.

Abstract

We study the Hawking radiation from Rotating black holes from gravitational anomalies point of view. First, we show that the scalar field theory near the Kerr black hole horizon can be reduced to the 2-dimensional effective theory. Then, following Robinson and Wilczek, we derive the Hawking flux by requiring the cancellation of gravitational anomalies. We also apply this method to Hawking radiation from higher dimensional Myers-Perry black holes. In the Appendix, we present the trace anomaly derivation of Hawking radiation to argue the validity of the boundary condition at the horizon.