"Charged" Particle's Tunneling from Rotating Black Holes

TL;DR

This paper models quantum tunneling from rotating black holes as a charged particle process in an effective two-dimensional gauge field, deriving consistent non-thermal tunneling rates and extending the method to multi-rotation black holes.

Contribution

It introduces a novel approach treating tunneling as a charged particle process in an effective gauge field, applicable to complex rotating black holes like Myers-Perry.

Findings

Derived non-thermal tunneling rates for Kerr and Myers-Perry black holes.

Extended Parikh-Wilczek's tunneling method to multi-rotation black holes.

Demonstrated the role of gauge symmetry in Hawking radiation from rotating black holes.

Abstract

The behavior of a scalar field theory near the event horizon in a rotating black hole background can be effectively described by a two dimensional field theory in a gauge field background. Based on this fact, we proposal that the quantum tunneling from rotating black hole can be treated as "charged" particle' s tunneling process in its effectively two dimensional metric. Using this viewpoint and considering the corresponding "gauge charge" conservation, we calculate the non-thermal tunneling rate of Kerr black hole and Myers-Perry black hole, and results are consistent with Parikh-Wilczek's original result for spherically symmetric black holes. Especially for Myers-Perry black hole which has multi-rotation parameters, our calculation fills in the gap existing in the literature applying Parikh-Wilczek's tunneling method to various types black holes. Our derivation further illuminates the essential role of effective gauge symmetry in Hawking radiation from rotating black holes.