Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation

Abstract

It has been shown recently that information is lost in the Hawking radiation of the linear dilaton black holes in various theories when applying the tunneling formalism of Parikh and Wilczek without considering quantum gravity effects. In this paper, we recalculate the emission probability by taking into account the log-area correction to the Bekenstein-Hawking entropy and the statistical correlation between quanta emitted. The crucial role of the quantum gravity effects on the information leakage and black hole remnant is highlighted. The entropy conservation of the linear dilaton black holes is discussed in detail. We also model the remnant as an extreme linear dilaton black hole with a pointlike horizon in order to show that such a remnant cannot radiate and its temperature becomes zero. In summary, we show that the information can also leak out of the linear dilaton black holes together with preserving unitarity in quantum mechanics.

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

“…The experiments [64][65][66][67] on dilaton and axion fields that naturally exist in the RLDBH geometry may vindicate the dark matter in the near future. At the present time, the studies for the RLDBH [68][69][70][71][72][73][74] in the literature are relatively less than the studies that exist for static linear dilaton black holes [74][75][76][77][78][79][80][81]. In particular, for the problems of absorption cross-section and decay rate for the massless and chargeless bosons emitted by a RLDBH, the reader is referred to [73].…”

Quantization of rotating linear dilaton black holes

“…Especially, the axion field may legitimate the existence of the cold dark matter [35,36] in the RLDBH spacetime. Although many studies have focused on non-rotating forms of these BHs (known as LDBHs) and their related topics such as Hawking radiation, entropic forces, higher dimensions, quantization, and the gravitational lensing effect on the Hawking temperature [37][38][39][40][41][42][43][44][45][46][47], studies of RLDBHs have remained very limited. To our knowledge, RLDBH studies have focused on branes, holography, greybody factors, Hawking radiation, and QNMs [48][49][50], while ignoring the quantization of the RLDBH.…”

Hawking radiation via Gauss–Bonnet theorem

“…In fact, as can be seen from Eq. (7.5), the temperature depends only on constant r 0 , which means that these black holes radiate isothermally [30,31]. Alternatively, Charles W. Robson and Fabio Biancalana [1,2] have very recently proven us (in accordance with the fruitful discussion between us) that one gets the same answer from the 2-dimensional Euclideanised spacetime from the following way.…”