Noncommutative Quasinormal Modes and the Violation of Isospectrality
Abstract
We explore quasinormal modes (QNMs) of the Schwarzschild black hole under a noncommutative (NC) deformation of spacetime, constructed via a Drinfeld twist formalism. In this approach, the usual Regge--Wheeler (axial) and Zerilli (polar) equations acquire additional contributions that depend on the NC parameter. Employing semi-analytical approximations (high-order WKB, P\"oschl--Teller and Rosen--Morse), we calculate the corresponding QNM spectra. Our results show that whereas the commutative case preserves the isospectrality of axial and polar modes, noncommutativity systematically violates this degeneracy. The discrepancy grows with the strength of the NC parameter, becoming evident through distinct real and imaginary parts in the ringdown frequencies. These findings highlight the potential of black hole QNMs to serve as probes of quantum-spacetime corrections in strong-field regimes.
Keywords
Cite
@article{arxiv.2503.15181,
title = {Noncommutative Quasinormal Modes and the Violation of Isospectrality},
author = {Nikola Herceg and Tajron Jurić and A. Naveena Kumara and Andjelo Samsarov and Ivica Smolić},
journal= {arXiv preprint arXiv:2503.15181},
year = {2025}
}
Comments
15 pages, 2 figures; contribution to Corfu Summer Institute 2024 "Workshop on Noncommutative and Generalized Geometry in String theory, Gauge theory and Related Physical Models". Based on the work arXiv:2409.01402