Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory

TL;DR

This paper uses the covariant anomaly cancellation method to derive Hawking radiation from a modified Schwarzschild black hole in rainbow gravity, confirming the temperature matches previous calculations and simplifying the theoretical approach.

Contribution

It applies the covariant anomaly method to rainbow gravity black holes, providing a simplified and consistent way to derive Hawking temperature.

Findings

Hawking temperature derived matches previous results.

Covariant anomaly method simplifies the derivation process.

Consistent temperature confirms the validity of the approach.

Abstract

Recently, Banerjee and Kulkarni (R. Banerjee, S. Kulkarni, arXiv:0707.2449 [hep-th]) suggested that it is conceptually clean and economical to use only the covariant anomaly to derive Hawking radiation from a black hole. Based upon this simplified formalism, we apply the covariant anomaly cancellation method to investigate Hawking radiation from a modified Schwarzschild black hole in the theory of rainbow gravity. Hawking temperature of the gravity's rainbow black hole is derived from the energy-momentum flux by requiring it to cancel the covariant gravitational anomaly at the horizon. We stress that this temperature is exactly the same as that calculated by the method of cancelling the consistent anomaly.