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

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