Anomalies and Hawking fluxes from the black holes of topologically massive gravity

TL;DR

This paper applies the anomaly cancellation method to compute Hawking radiation from black holes in topologically massive gravity, confirming the consistency of fluxes and temperatures with known formulas.

Contribution

It extends the anomaly cancellation approach to topologically massive gravity black holes, deriving Hawking fluxes and temperatures that match surface gravity and Planck distribution results.

Findings

Hawking temperatures agree with surface gravity calculations.

Hawking fluxes match those from Planck distribution integration.

The method correctly accounts for black hole rotation and charge effects.

Abstract

The anomaly cancelation method proposed by Wilczek et al. is applied to the black holes of topologically massive gravity (TMG) and topologically massive gravito-electrodynamics (TMGE). Thus the Hawking temperature and fluxes of the ACL and ACGL black holes are found. The Hawking temperatures obtained agree with the surface gravity formula. Both black holes are rotating and this gives rise to appropriate terms in the effective U(1) gauge field of the reduced (1+1)-dimensional theory. It is found that the terms in this U(1) gauge field correspond exactly to the correct angular velocities on the horizon of both black holes as well as the correct electrostatic potential of the ACGL black hole. So the results for the Hawking fluxes derived here from the anomaly cancelation method, are in complete agreement with the ones obtained from integrating the Planck distribution.