English

Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones

General Relativity and Quantum Cosmology 2024-07-11 v2 High Energy Physics - Theory

Abstract

We investigate the parametrized black hole quasinormal ringdown formalism, which is a robust framework used to analyze quasinormal modes in systems that closely resemble general relativity, paying particular attention to the higher overtones. We find that larger deviations from the general relativity case typically appear in the quasinormal frequencies for the higher overtones. This growing tendency for higher overtones can be understood using an analytical method, and its relations to previous works are briefly discussed. Our findings indicate that we can impose a strong constraint on gravity theories by considering the overtones of quasinormal modes.

Keywords

Cite

@article{arxiv.2404.09672,
  title  = {Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones},
  author = {Shin'ichi Hirano and Masashi Kimura and Masahide Yamaguchi and Jiale Zhang},
  journal= {arXiv preprint arXiv:2404.09672},
  year   = {2024}
}

Comments

v2: minor revisions, accepted for publication in Phys. Rev. D. 34 pages, 12 figures. Data available at https://github.com/JialeZHANG-Phys/pqnm_overtone

R2 v1 2026-06-28T15:54:25.816Z