Quasinormal Modes in Noncommutative Schwarzschild Black Holes: A Spectral Analysis

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.

Keywords

Bibliographic record

BibTeX Citation

@article{Batic2024quasinormalmodes,
  author = {Batic, D. and Dutykh, D.},
  title = {Quasinormal Modes in Noncommutative Schwarzschild Black Holes: A Spectral Analysis},
  journal = {Eur. Phys. J. C},
  year = {2024},
  volume = {84},
  number = {622},
  pages = {622--622},
  doi = {10.1140/epjc/s10052-024-12981-6},
  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.},
  keywords = {electromagnetic perturbations, noncommutative geometry, Schwarzschild black holes, gravitational perturbations, scalar perturbations, gr-qc, black hole stability, spectral analysis, quasinormal modes}
}