Dirac Quasinormal Modes in Noncommutative Reissner-Nordstr\"om Black Holes
Abstract
Noncommutative (NC) geometry provides a novel approach to probe quantum gravity effects in black hole spacetimes. This work explores Dirac quasinormal modes (QNMs) of a deformed Reissner-Nordstr\"om black hole, where noncommutativity induces an effective metric with an additional () component. Employing a semiclassical model equivalent to a NC gauge theory, we investigate the dynamics of massless Dirac fields and calculate their QNM frequencies using the continued fraction method, enhanced by Gauss elimination to address the six-term recurrence relations. Our results demonstrate notable shifts in oscillation frequencies and damping rates relative to the commutative Reissner-Nordstr\"om case, exhibiting a distinctive Zeeman-like splitting in the QNM spectrum driven by the NC parameter.
Keywords
Cite
@article{arxiv.2510.13701,
title = {Dirac Quasinormal Modes in Noncommutative Reissner-Nordstr\"om Black Holes},
author = {Nikola Herceg and Nikola Konjik and A. Naveena Kumara and Andjelo Samsarov},
journal= {arXiv preprint arXiv:2510.13701},
year = {2025}
}
Comments
12 pages, 4 figures, contribution to the "XLII Workshop on Geometric Methods in Physics" June 30 - July 5, 2025, Bia{\l}ystok, Poland