1205.1390 (M. Atiqur Rahman et al.)

Hawking Non-thermal and Thermal Radiations of Schwarzschild Anti-de
Sitter Black Hole by Hamilton-Jacobi method    [PDF]

M. Atiqur Rahman, M. Ilias Hossain

The massive particles tunneling method has been used to investigate the Hawking non-thermal and purely thermal radiations of Schwarzschild Anti-de Sitter (SAdS) black hole. Considering the spacetime background to be dynamical, incorporate the self-gravitation effect of the emitted particles the imaginary part of the action has been derived from Hamilton-Jacobi equation. Using the conservation laws of energy and angular momentum we have showed that the non-thermal and purely thermal tunneling rates are related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum. The result obtained for SAdS black hole is also in accordance with Parikh and Wilczek\rq s opinion and gives a correction to the Hawking radiation of SAdS black hole.

View original: http://arxiv.org/abs/1205.1390