Overtones' Outburst and Hawking Evaporation of Kazakov–Solodukhin Quantum Corrected Black Hole

Abstract

The Kazakov–Solodukhin black hole (BH) 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, the intensity of Hawking radiation in the background of such quantum-corrected BHs and the behavior of their quasinormal modes (QNM) are investigated. The 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 BHs 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 BH evaporation.