Hawking non-thermal and thermal radiations of Schwarzschild anti-de Sitter black hole by Hamilton-Jacobi method

Abstract

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's opinion and gives a correction to the Hawking radiation of SAdS black hole.

Massive Particle Tunneling Rate of Kerr-Newman-Anti-De Sitter Black Hole by Hamilton-Jacobi Method

“…For 𝑞𝑞 = 0, the study provides the result for the Kerr-anti-de Sitter black hole Hossain (2017), while for ℓ → ∞, 𝑞𝑞 = 0, the result reduces for the Kerr black hole Zhang and Zhao (2005). The result for the Schwarzschild-anti-de Sitter black hole Rahman and Hossain, (2013) is obtained if one sets 𝑎𝑎 = 0 and 𝑞𝑞 = 0. Moreover, the choice ℓ → ∞, 𝑎𝑎 = 0 and 𝑞𝑞 = 0 gives the result for the Schwarzschild black hole Parikh and Wilczek (2000).…”

Thermal radiation in curved spacetime using influence functional formalism

“…Now we consider a massless minimal coupled scalar field in 1 + 1d Schwarzschild anti-de Sitter spacetime. The line element for this spacetime is [45][46][47][48][49][50]…”