Hawking Radiation from General Kerr-(anti)de Sitter Black Holes

TL;DR

This paper calculates the Hawking radiation flux from general Kerr-(anti)de Sitter black holes in arbitrary dimensions using the gravitational anomaly method, revealing the near-horizon physics as a set of coupled quantum fields.

Contribution

It extends the gravitational anomaly method to higher-dimensional Kerr-(anti)de Sitter black holes with multiple rotation parameters, providing a general framework for Hawking radiation calculation.

Findings

Hawking flux determined by anomaly cancellation

Near-horizon physics described by (1+1)-dimensional fields

Applicable to arbitrary dimensions and rotation parameters

Abstract

We calculate the total flux of Hawking radiation from Kerr-(anti)de Sitter black holes by using gravitational anomaly method developed in gr-qc/0502074. We consider the general Kerr-(anti)de Sitter black holes in arbitrary $D$ dimensions with the maximal number [D/2] of independent rotating parameters. We find that the physics near the horizon can be described by an infinite collection of $(1+1)$-dimensional quantum fields coupled to a set of gauge fields with charges proportional to the azimuthal angular momentums $m_i$. With the requirement of anomaly cancellation and regularity at the horizon, the Hawking radiation is determined.