Vacuum polarization effects on quasinormal modes in electrically charged black hole spacetimes

TL;DR

This paper studies how quantum vacuum polarization affects the oscillation frequencies of scalar fields around charged black holes, revealing shifts in quasinormal modes due to quantum corrections.

Contribution

It introduces a detailed analysis of vacuum polarization effects on quasinormal modes in charged black holes using a sixth order WKB method.

Findings

Vacuum polarization causes measurable shifts in quasinormal mode frequencies.

Quantum corrections modify the stability properties of charged black holes.

The study provides insights into quantum effects in black hole perturbations.

Abstract

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the spacetime corresponding to a charged semiclassical black hole, consisting of the quantum corrected geometry of a Reissner-Nordstr\"om black hole dressed by a quantum massive scalar field in the large mass limit. Using a sixth order WKB approach we find the shift in the quasinormal mode frequencies due to vacuum polarization .