Hawking radiation via anomaly cancelation for the black holes of five-dimensional minimal gauged supergravity

TL;DR

This paper applies the anomaly cancellation method to five-dimensional charged rotating black holes in minimal gauged supergravity, deriving Hawking temperature and fluxes that match known results, thus confirming the method's validity.

Contribution

It extends the anomaly cancellation approach to complex five-dimensional black holes with charge and rotation, providing a new derivation of Hawking radiation in this context.

Findings

Hawking temperature matches surface gravity calculations

Hawking fluxes agree with Planck distribution integrals

Effective gauge fields correctly encode horizon properties

Abstract

The anomaly cancelation method proposed by Wilczek et al. is applied to the general charged rotating black holes in five-dimensional minimal gauged supergravity. Thus Hawking temperature and fluxes are found. The Hawking temperature obtained agrees with the surface gravity formula. The black holes have charge and two unequal angular momenta and these give rise to appropriate terms in the effective U(1) gauge field of the reduced (1+1)-dimensional theory. In particular, it is found that the terms in this U(1) gauge field correspond exactly to the correct electrostatic potential and the two angular velocities on the horizon of the black holes, and 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.