Gravitational axial perturbations and quasinormal modes of loop quantum black holes

TL;DR

This paper investigates the gravitational wave spectrum emitted by loop quantum black holes, demonstrating their stability under axial perturbations using a WKB method, thus linking quantum gravity theories with observable gravitational wave phenomena.

Contribution

It applies a WKB method to analyze axial gravitational perturbations of loop quantum black holes, providing new insights into their stability and quasinormal mode spectrum.

Findings

Loop quantum black holes are stable under axial perturbations.

The gravitational wave spectrum of loop quantum black holes is characterized.

The study bridges quantum gravity models with gravitational wave observations.

Abstract

Loop Quantum Gravity (LQG) is a theory that proposes a way to model the behavior of the spacetime in situations where its atomic characteristic arises. Among these situations, the spacetime behavior near the Big Bang or black hole's singularity. The detection of gravitational waves, on the other hand, has opened the way to new perspectives in the investigation of the spacetime structure. In this work, by the use of a WKB method introduced by Schutz and Will \cite{Schutz:1985zz}, and after improved by Iyer and Will \cite{s.iyer-prd35}, we study the gravitational wave spectrum emitted by loop quantum black holes, which correspond to a quantized version of the Schwarzschild spacetime by LQG techniques. From the results obtained, loop quantum black holes have been shown stable under axial gravitational perturbations.