Quantum anomaly at horizon and Hawking radiation from higher dimensional Reissner-Nordström-de Sitter black hole

Mathematics – Logic

Scientific paper

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Hawking Radiation, Anomaly, Event Horizon, Cosmological Horizon

Scientific paper

Based on the anomaly cancellation method, initiated by Robinson and Wilczek, we investigate Hawking radiation from the event horizon and cosmological horizon of the higher dimensional Reissner-Nordström-de Sitter black hole via covariant gauge and gravitational anomalies. Unlike in black hole space-time, to describe the observable physics, the effective field theory here is constructed between the event horizon and cosmological horizon. Our result shows that to restore the underlying gauge covariance and diffeomorphism covariance at the quantum level, the covariant compensating fluxes of gauge and energy-momentum tensor, which are shown to equal to those of Hawking radiation, should be radiated from the event horizon and absorbed from the cosmological horizon, respectively.

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