Anomaly Analysis of Hawking Radiation from Acoustic Black Hole

TL;DR

This paper investigates Hawking radiation from a rotating acoustic black hole using anomaly cancellation, showing that quantum fluxes match black body radiation predictions at the Hawking temperature.

Contribution

It applies the anomaly cancellation method to acoustic black holes, providing a novel analysis of Hawking radiation in this analogue gravity system.

Findings

Fluxes of charge and energy match black body radiation

Hawking temperature derived from anomaly cancellation

Effective near-horizon quantum field described as two-dimensional charged field

Abstract

The Hawking radiation from the three dimensional rotating acoustic black hole is considered from the viewpoint of anomaly cancellation method initiated by Robinson and Wilczek. Quantum field near the horizon is effectively described by two dimensional charged field with a charge identified as the angular momentum m. The fluxes of charge and energy are obtained from the anomaly cancellation condition and regularity at the horizon, and are shown to match with those of the two dimensional black body radiation at the Hawking temperature.