Quantum gravitational corrections at third-order curvature, acoustic analog black holes and their quasinormal modes

TL;DR

This paper investigates how quantum gravitational corrections at third order in curvature affect quasinormal modes of analog black holes, providing insights into their ringdown behavior and gravitational wave signatures.

Contribution

It introduces a novel analysis of quantum gravitational effects on analog black hole quasinormal modes using acoustic models and extends understanding of quantum-corrected ringdown processes.

Findings

Quantum corrections modify quasinormal mode spectra.

Higher overtones provide more detailed ringdown descriptions.

The study links thermodynamic variables to quantum gravity effects.

Abstract

Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild solution, are scrutinized from the propagation of analog transonic sound waves across a de Laval nozzle. The thermodynamic variables, the nozzle geometry, the Mach number, and the thrust coefficient are computed as functions of the parameter driving the effective action for quantum gravity containing a dimension-six local operator beyond general relativity. The quasinormal modes for quantum gravitational corrected analog black holes are also determined for higher overtones, yielding a more precise description of the quantum-corrected ringdown process and the gravitational waveform way before the fundamental mode sets in.