Hawking radiation for non asymptotically flat dilatonic black holes using gravitational anomaly

TL;DR

This paper uses gravitational anomalies in a 2D effective theory to compute Hawking radiation and temperature for non-asymptotically flat dilatonic black holes, comparing results with other methods.

Contribution

It applies the anomaly cancellation method to non-asymptotically flat dilatonic black holes, providing a novel way to determine their Hawking temperature.

Findings

Successfully computed black hole temperature using gravitational anomalies.

Results agree with those obtained by alternative methods.

Extended the anomaly approach to non-asymptotically flat geometries.

Abstract

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the scalar field is not conserved anymore. This anomaly is removed by introducing a term related to the Hawking temperature of the black hole. Even if the temperature term introduced is not covariant, a gauge transformation may restore the covariance. We apply this method to compute the temperature of the black hole of the dilatonic non asymptotically flat black holes. We compare the results with those obtained through other methods.