Anomaly and Hawking radiation from regular black holes

TL;DR

This paper investigates Hawking radiation from two types of regular black holes using anomaly cancellation, showing they emit thermal radiation with identical fluxes despite differences in temperature expressions.

Contribution

It applies the anomaly cancellation method to derive Hawking radiation from regular black holes, highlighting the universality of the radiation flux.

Findings

Both black holes emit thermal Hawking radiation with identical fluxes.

The radiation pattern is similar despite differences in temperature expressions.

The flux matches the thermal flux at the Hawking temperature.

Abstract

We consider the Hawking radiation from two regular black holes, the minimal model and the noncommutative black hole. The flux of Hawking radiation is derived by applying the anomaly cancellation method proposed by Robinson and Wilczek. Two regular black holes have the same radiation pattern except for the detailed expression for the Hawking temperature. The resulting flux of the energy-momentum tensor is shown to be precisely the same with the thermal flux from each regular black hole at the Hawking temperature.