Hawking radiation from the Schwarzschild black hole with a global monopole via gravitational anomaly

TL;DR

This paper derives Hawking radiation from a Schwarzschild black hole with a global monopole using gravitational anomaly cancellation, employing a dimension reduction technique to simplify the quantum field analysis.

Contribution

It applies Robinson and Wilczek's method to a black hole with a global monopole, demonstrating Hawking flux via anomaly cancellation in a reduced (1+1)-dimensional framework.

Findings

Hawking flux is obtained using anomaly cancellation.

The effective quantum field reduces to (1+1) dimensions near the horizon.

Hawking temperature is consistent with the black hole's properties.

Abstract

Hawking flux from the Schwarzschild black hole with a global monopole is obtained by using Robinson and Wilczek's method. Adopting a dimension reduction technique, the effective quantum field in the (3+1)--dimensional global monopole background can be described by an infinite collection of the (1+1)--dimensional massless fields if neglecting the ingoing modes near the horizon, where the gravitational anomaly can be cancelled by the (1+1)--dimensional black body radiation at the Hawking temperature.