https://doi.org/10.1140/epjc/s10052-012-2214-8
Regular Article - Theoretical Physics
Hawking radiation for non-asymptotically flat dilatonic black holes using gravitational anomaly
1
Departamento de Física, Universidade Federal do Espírito Santo, Vitória, 29060-900, Espírito Santo, Brazil
2
ICIBE-LASIC, Universidade Federal Rural da Amazônia-Brazil, Belém, 66077-901, Pará, Brazil
* e-mail: fabris@pq.cnpq.br
Received:
14
September
2012
Revised:
1
October
2012
Published online:
6
December
2012
The d-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a two-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 dilatonic non-asymptotically flat black holes. We compare the results with those obtained through other methods.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012
