https://doi.org/10.1140/epjc/s10052-025-15196-5
Regular Article - Theoretical Physics
Quantum gravitational corrections at third-order curvature, acoustic analog black holes and their quasinormal modes
1
Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126, Bologna, Italy
2
I.N.F.N., Sezione di Bologna, I.S. FLAG, Viale B. Pichat 6/2, 40127, Bologna, Italy
3
Center for Natural and Human Sciences, Federal University of ABC, 09210-580, Santo André, Brazil
4
Center of Mathematics, Federal University of ABC, 09210-580, Santo André, Brazil
a
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Received:
20
July
2025
Accepted:
10
December
2025
Published online:
8
January
2026
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.
© The Author(s) 2026
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Funded by SCOAP3.
