Naveena Kumara Athithamoole
Dirac Quasinormal Modes in Noncommutative Reissner-Nordström Black Holes
Noncommutative (NC) geometry provides a novel approach to probe quantum gravity effects in black hole spacetimes. This talk explores Dirac quasinormal modes (QNMs) in a deformed Reissner-Nordström (RN) black hole, where noncommutativity induces an effective metric with an additional ($ r-\phi$ ) component. Employing a semiclassical model equivalent to a noncommutative 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 six-term recurrence relations. Our results demonstrate notable shifts in oscillation frequencies and damping rates relative to the commutative RN case, exhibiting a distinctive Zeeman-like splitting in the QNM spectrum driven by the noncommutative parameter. These findings highlight the impact of spacetime noncommutativity on black hole spectroscopy and provide insights into quantum gravity signatures potentially observable in gravitational wave signals.
