Overtones' outburst and Hawking evaporation of Kazakov-Solodukhin quantum corrected black hole

TL;DR

This paper studies quantum-corrected black holes and finds that Hawking radiation and QNM overtones are significantly affected at late evaporation stages, mainly due to increased grey-body factors, despite minor changes in classical properties.

Contribution

It provides a nonperturbative analysis of Hawking radiation and quasinormal modes for Kazakov-Solodukhin quantum-corrected black holes, highlighting significant late-stage effects.

Findings

Hawking radiation is enhanced for small black holes due to larger grey-body factors.

Classical characteristics like QNM frequencies and shadow radius are only slightly altered.

Hawking temperature remains unchanged despite quantum corrections.

Abstract

The Kazakov-Solodukhin black hole metric represents a spherically symmetric deformation of the Schwarzschild solution due to quantum-gravity corrections. Assuming the absence of nonspherical deformations of the metric, this problem was solved nonperturbatively. In this study, we investigate the intensity of Hawking radiation in the background of such quantum-corrected black holes and the behavior of their quasinormal modes (QNM). Our findings indicate that while the geometry and such classical characteristics as the fundamental QNM frequencies or the shadow radius are only slightly altered, the Hawking radiation and the frequencies of QNM overtones of sufficiently small black holes change much more significantly. This Hawking radiation enhancement arises due to much larger grey-body factors, while the Hawking temperature remains unaffected. The effect becomes significant at the latest stage of black hole evaporation.