Anomalies and Hawking radiation from the Reissner-Nordstr\"om black hole with a global monopole

TL;DR

This paper extends anomaly cancellation methods to derive Hawking radiation from Reissner-Nordström black holes with a global monopole, demonstrating that fluxes match thermal radiation predictions and are determined by horizon anomalies.

Contribution

It generalizes the anomaly cancellation approach to non-standard black hole metrics with a global monopole, providing a universal derivation of Hawking fluxes.

Findings

Hawking fluxes are exactly matched by anomaly cancellation calculations.

The method applies to a broad class of non-extremal black holes with non-trivial metric determinants.

Horizon anomalies uniquely determine the Hawking radiation fluxes.

Abstract

We extend the work by S. Iso, H. Umetsu and F. Wilczek [Phys. Rev. Lett. 96 (2006) 151302] to derive the Hawking flux via gauge and gravitational anomalies of a most general two-dimensional non-extremal black hole space-time with the determinant of its diagonal metric differing from the unity ($\sqrt{-g} \neq 1$) and use it to investigate Hawking radiation from the Reissner-Nordstrom black hole with a global monopole by requiring the cancellation of anomalies at the horizon. It is shown that the compensating energy momentum and gauge fluxes required to cancel gravitational and gauge anomalies at the horizon are precisely equivalent to the $(1+1)$-dimensional thermal fluxes associated with Hawking radiation emanating from the horizon at the Hawking temperature. These fluxes are universally determined by the value of anomalies at the horizon.