Quasinormal modes and shadow of a Schwarzschild black hole with GUP

TL;DR

This paper explores quantum corrections to Schwarzschild black holes using GUP, analyzing quasinormal modes and shadows, revealing nonzero shadow radii at small masses and confirming results through WKB and numerical methods.

Contribution

It introduces quantum corrections via GUP to Schwarzschild black holes and studies their effects on quasinormal modes and shadows with combined analytical and numerical approaches.

Findings

Quantum-corrected black holes have nonzero shadow radius at small mass.

WKB and numerical methods agree on quasinormal mode frequencies.

GUP influences black hole shadow size and quasinormal spectra.

Abstract

We consider quantum corrections for the Schwarzschild black hole metric by using the generalized uncertainty principle (GUP) to investigate quasinormal modes, shadow and their relationship in the eikonal limit. We calculate the quasinormal frequencies of the quantum-corrected Schwarzschild black hole by using the sixth-order Wentzel-Kramers-Brillouin (WKB) approximation, and also perform a numerical analysis that confirms the results obtained from this approach. We also find that the shadow radius is nonzero even at very small mass limit for finite GUP parameter.