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

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.

Latex file, 22 pages. Some discussions enlarged. New references. Accepted for publication in the European Physical Journal C

References in corpus (12)

• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Hawking Radiation from Rotating Black Holes and Gravitational Anomalies
• Hawking Radiation and Covariant Anomalies
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Hawking radiation of linear dilaton black holes
• Gravitational anomalies: a recipe for Hawking radiation
• Hawking Radiation via Gravitational Anomalies in Non-spherical Topologies
• Covariant Anomalies, Horizons and Hawking Radiation
• Hawking radiation, chirality, and the principle of effective theory of gravity
• Anomaly and Hawking radiation from regular black holes
• Anomalies and Hawking fluxes from the black holes of topologically massive gravity

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