Quantum corrected black holes: quasinormal modes, scattering, shadows

TL;DR

This paper investigates quantum-corrected Schwarzschild black holes, analyzing their quasinormal modes, scattering properties, and shadows, revealing how quantum effects influence these fundamental characteristics.

Contribution

It provides a non-perturbative analysis of quantum-corrected black holes, deriving analytical quasinormal mode formulas and examining the impact on shadows.

Findings

Quasinormal modes are consistent across WKB and time-domain methods.

Quantum corrections decrease the black hole shadow radius.

Analytical formulas for quasinormal modes in the eikonal regime are established.

Abstract

The spherically symmetric deformation of the Schwarzschild solution owing to the quantum corrections to gravity is known as Kazakov-Solodukhin black-hole metric. Neglecting non-spherical deformations of the background the problem was solved non-perturbatively. Here we analyze the basic characteristics of this geometry, such as: quasinormal modes and grey-body factors of fields of various spin and shadow cast by this black hole. The WKB approach and time-domain integration method, which we used for calculation of quasinormal modes, are in a good concordance. The analytical formula for quasinormal modes is deduced in the eikonal regime. The radius of shadow is decreasing when the quantum deformation is turned on.