A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes

Abstract: We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational perturbations. By employing the spectral method, the perturbation equations are reformulated into an eigenvalue problem over a compact domain, using Chebyshev polynomials to ensure high precision and fast numerical convergence. Our results reveal the absence of overdamped modes, with all detected QNMs exhibiting oscillatory behaviour. Additionally, for large values of the rescaled mass parameter, the QNMs of the noncommutative wormhole transition smoothly to those of the classical Schwarzschild wormhole, validating the accuracy of the spectral method. This work represents the first comprehensive exploration of QNMs in noncommutative geometry-inspired wormholes, shedding light on their stability and dynamical properties.