Hawking Non-thermal and Purely Thermal Radiations of Rotating Black Hole in Anti-de Sitter Space Time by Hamilton-Jacobi Method

Abstract

Incorporating Parikh and Wilczek's opinion to the Kerr de-Sitter (KdS) black hole Hawking nonthermal and purely thermal radiations have been investigated using Hamilton-Jacobi method. We have taken the background spacetime of KdS black hole as dynamical, involving the self-gravitation effect of the emitted particles, energy and angular momentum has been taken as conserved and show that the tunneling rate is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum. The explored results gives a correction to the Hawking radiation of KdS black hole.

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

“…The non-thermal emission rate described by (35) is related to the change of Bekenstein-Hawking entropy, and is consistent with an underlying unitary theory and the radiation spectrum is not pure thermal although gives a correction to the Hawking radiation of KNdS black hole. The pure thermal radiation spectrum can be derived from (35) by expanding the tunneling rate in power of upto second order as follows…”

“…respectively. From (34), the non-thermal tunneling rate for the Kerr-Newman black hole can be written as It is interesting that for 0, q  it reduces to the result of Kerr-de Sitter black hole [35] and for 0,and 0, q a   it becomes to the result of SdS black hole [32]. Finally, if one sets→ ∞, = 0, and 0 q  gives the result for the Schwarzschild black hole [6].…”

“…We have developed the non-thermal and purely thermal Hawking radiations as massive particles tunneling process from KNdS black hole [35] by taking into account the selfgravitational interaction, the background spacetime as dynamical and the energy as conservation. We have explored that the tunneling rate at the event horizon of KNdS black hole is related to the change of Bekenstein-Hawking entropy.…”