2025/10/15 by Herceg, Nikola, Konjik, Nikola, Kumara, A. Naveena +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2510.13701
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-Nordström black hole, where noncommutativity induces an effective metric with an additional ( r-φ) 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-Nordström case, exhibiting a distinctive Zeeman-like splitting in the QNM spectrum driven by the NC parameter.