Information Loss Problem in Linear Dilaton Black Holes

ABSTRACT: Using the Damour-Ruffini-Sannan and the Parikh-Wilczek methods, we analyze the Hawking radiation of uncharged massive particles for linear dilaton black holes with N ≥ 4 dimensions. Contrary to the many studies in the literature in which the original Parikh-Wilczek’s method are used, our results show that the obtained emission spectrum is precisely thermal. This implies that sole back-reaction effects do not retrieve the information from the linear dilaton black holes. On the other hand, when we recalculate the emission probability by taking into account the log-area quantum correction to the black hole entropy, it is seen that the radiation deviates from its pure thermal behavior. Besides, the quantum corrections give rise also to the statistical correlation between quanta emitted. The latter results yield that the information can leak out of the linear dilaton black holes together with preserving unitarity in quantum mechanics. In addition to these, we extend our study to the case in which quantum gravity ħ corrections in all orders in are considered. The obtained modified entropy and temperature are adjusted so finely that the scenario of fading Hawking radiation, in which both entropy and temperature vanish with zero mass, becomes possible. Finally, we highlight that, even in the case of fading Hawking radiation, the linear dilaton black holes could evaporate completely with conserving the total entropy - “no information loss”. Keywords: Linear dilaton black holes, Hawking radiation, information loss paradox, entropy conservation, quantum corrections. ……………………………………………………………………………………………………………………………………………………………………………………………………………………