Fading Hawking Radiation

TL;DR

This paper investigates a special form of Hawking radiation from linear dilaton black holes, showing it ends with zero entropy and temperature, and that correlations in the radiation can carry information, suggesting no information loss during evaporation.

Contribution

It introduces a modified tunneling formalism with quantum corrections for linear dilaton black holes, demonstrating radiation carries information and entropy conservation during complete evaporation.

Findings

Radiation is non-thermal and carries correlations.

Black hole entropy matches radiation entropy after evaporation.

No information loss occurs in the process.

Abstract

In this study, we explore a particular type Hawking radiation which ends with zero temperature and entropy. The appropriate black holes for this purpose are the linear dilaton black holes. In addition to the black hole choice, a recent formalism in which the Parikh-Wilczek's tunneling formalism amalgamated with quantum corrections to all orders in \hbar is considered. The adjustment of the coefficients of the quantum corrections plays a crucial role on this particular Hawking radiation. The obtained tunneling rate indicates that the radiation is not pure thermal anymore, and hence correlations of outgoing quanta are capable of carrying away information encoded within them. Finally, we show in detail that when the linear dilaton black hole completely evaporates through such a particular radiation, entropy of the radiation becomes identical with the entropy of the black hole, which corresponds to "no information loss".