Scalar Perturbations of a Single-Horizon Regular Black Hole

TL;DR

This paper studies scalar field perturbations and quasinormal modes of a novel regular black hole inspired by Loop Quantum Gravity, revealing its stability and how the polymerization constant affects oscillation characteristics.

Contribution

It introduces a new regular black hole model with a single horizon derived from Loop Quantum Gravity and analyzes its scalar perturbations and stability properties.

Findings

Black hole has a single bifurcative horizon with no mass inflation.

Increasing the polymerization constant lowers QNM potential and oscillation frequency.

The black hole model appears stable against small scalar perturbations.

Abstract

We investigate the massless scalar field perturbations, including the quasinormal mode spectrum and the ringdown waveform, of a regular black hole spacetime that was derived via the Loop Quantum Gravity inspired polymer quantization of spherical $4$D black holes. In contrast to most, if not all, of the other regular black holes considered in the literature, the resulting nonsingular spacetime has a single bifurcative horizon and hence no mass inflation. In the interior, the areal radius decreases to a minimum given by the Polymerization constant, $k$, and then re-expands into a Kantowski-Sachs universe. We find indications that this black hole model is stable against small scalar perturbations. We also show that an increase in the magnitude of $k$ will decrease the height of the QNM potential and gives oscillations with lower frequency and less damping.