Hawking radiation for non asymptotically flat dilatonic black holes using gravitational anomaly
Abstract
The -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.
Keywords
Cite
@article{arxiv.1209.2979,
title = {Hawking radiation for non asymptotically flat dilatonic black holes using gravitational anomaly},
author = {J. C. Fabris and G. T. Marques},
journal= {arXiv preprint arXiv:1209.2979},
year = {2015}
}
Comments
Latex file, 22 pages. Some discussions enlarged. New references. Accepted for publication in the European Physical Journal C