Radiation via tunnelling in the charged BTZ black hole

Abstract

It is often convenient to view Hawking (black hole) radiation as a process of quantum tunneling. Within this framework, Kraus and Wilczek (KW) have initiated an analytical treatment of black hole emission. Notably, their methodology incorporates the effects of a dynamical black hole geometry. In the current paper, the KW formalism is applied to the case of a charged BTZ black hole. In the context of this interesting model, we are able to demonstrate a non-thermal spectrum, with the usual Hawking result being reproduced at zeroth order in frequency. Considerable attention is then given to the examination of near-extremal thermodynamics.

Quantum tunneling from three-dimensional black holes

“…The J = 0 limit of the temperature reduces to the result given by the quantum tunneling method in Section 3, and by another method [19].…”

“…So that we have 19) which is from the thermodynamic relation, and is the same as (3.15) by the above independent method of quantum tunneling.…”

Semiclassical corrections to the Bekenstein–Hawking entropy of the BTZ black hole via self-gravitation

“…The idea of KKW method is to view the BTZ black hole background as dynamical by treating the Hawking radiation [5] as a tunnelling process [6,7,8,9,10]. The energy conservation is the key to this description.…”

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

“…Both the methods show that when the self-gravitational interaction and the unfixed background spacetime are taken into account, the actual Hawking radiation spectrum deviates from the purely thermal one, satisfies the underlying unitary theory and gives a leading correction to the radiation spectrum. Extending these methods to general case, a lot of works for various spacetimes have been done [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41] and all of these are limited to massless particle.…”