TL;DR
This paper performs a spectral analysis of quasinormal modes in noncommutative Schwarzschild black holes, demonstrating their stability across different perturbations and challenging prior instability claims.
Contribution
It introduces a spectral method to analyze QNMs in noncommutative black holes, providing new insights into their stability properties.
Findings
Black holes are stable under scalar, electromagnetic, and gravitational perturbations.
Spectral method effectively computes QNMs in noncommutative geometries.
Challenges previous literature claiming instability.
Abstract
We present a comprehensive analysis of quasinormal modes (QNMs) for noncommutative geometry-inspired Schwarzschild black holes, encompassing both non-extreme and extreme cases. By employing a spectral method, we calculate the QNMs in the context of scalar, electromagnetic, and gravitational perturbations. Our findings not only challenge previous claims in the literature regarding the instability of these black holes but also reveal remarkable stability for both non-extreme and extreme Schwarzschild black holes under various perturbations.
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