https://doi.org/10.1140/epjc/s10052-012-1891-7
Regular Article - Theoretical Physics
Equivalence of the Hawking temperature in conformal frames
1
ICIBE–LASIC, Universidade Federal Rural da Amazônia-Brazil, Av. Presidente Tancredo Neves 2501, CEP66077-901, Belém/PA, Brazil
2
Centro de Ciências Exatas, Departamento de Física, Universidade Federal do Espírito Santo, Av. Fernando Ferrari s/n, Campus de Goiabeiras, CEP29075-910, Vitória/ES, Brazil
* e-mail: esialg@gmail.com
Received:
21
November
2011
Revised:
23
December
2011
Published online:
15
February
2012
The conformal invariance of the Hawking temperature, conjectured for the asymptotically flat and stationary black holes by Jacobson and Kang, is semiclassically evaluated for a simple particular case of symmetrical spherically and non-asymptotically flat black hole. By using the Bogoliubov coefficients, the metric euclideanization, the reflection coefficient and the gravitational anomaly, as methods of calculating the Hawking temperature, we find that it is invariant under a specific conformal transformation of the metric. We briefly discuss the results for each method.
© Springer-Verlag / Società Italiana di Fisica, 2012
