Hawking Radiations of Kerr-Newman Black Hole in de Sitter Spacetime by Hamilton-Jacobi Method

Incorporating Parikh and Wilczek’s opinion Hawking radiations of Kerr-Newman-de Sitter (KNdS) black hole has been investigated by Hamilton-Jacobi method. We have assumed the space time background as dynamical, energy and angular momentum as conserved incorporating the self-gravitation effect of the emitted particles. We have shown that the massive particle tunneling rate is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum.

HAWKING RADIATION VIA TUNNELING OF MASSIVE PARTICLES FROM A GRAVITY'S RAINBOW

In the tunneling framework of Hawking radiation, the quantum tunneling of massive particles in the modified Schwarzschild black holes from gravity's rainbow is investigated. While the massive particle tunneling from the event horizon, the metric fluctuation is taken into account, not only due to energy conservation but also to the Planck scale effect of spacetime. The obtained results show that, the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. This implies that, considering the quantum effect of spacetime, information conservation of black holes is probable. Meanwhile, the quantum corrected entropy of the modified black hole is obtained and the leading correction behave as log-area type. And that, the emission spectrum with Planck scale correction is obtained and it deviates from the thermal spectrum.