Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole

TL;DR

This paper applies a recent anomaly-based method to derive Hawking radiation from a 2+1 dimensional spinning black hole, demonstrating its potential independence from gravity theory, spacetime dimension, and horizon topology.

Contribution

It extends the anomaly-based Hawking radiation derivation to a non-vacuum, lower-dimensional spinning black hole using dimensional reduction.

Findings

Hawking temperature and angular velocity are successfully derived.

The method shows potential universality across different gravity theories.

Results suggest independence from spacetime dimension and horizon topology.

Abstract

Considering gravitational and gauge anomalies at the horizon, a new successful method that to derive Hawking radiations from black holes has been developed recently by Wilczek et al.. By using the dimensional reduction technique, we apply this method to a non-vacuum solution, the 2+1 dimensional spinning black hole. The Hawking temperature and angular velocity on the horizon are obtained. The results may partially imply that this method is independent of the gravity theory, the dimension of spacetime and the topological structure of the event horizon.