An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics

Fuente: arXiv
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Main Authors: Naka, Shigefumi, Toyoda, Haruki
Format: Preprint
Published: 2024
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author Naka, Shigefumi
Toyoda, Haruki
author_facet Naka, Shigefumi
Toyoda, Haruki
contents The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate region and flat potentials on both sides. In particular, we use the eigenstates for a reversed harmonic oscillator as the complete bases in this intermediate region. Under this setting, the transmission and reflection coefficients are studied in addition to the frequencies of QNMs.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09274
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics
Naka, Shigefumi
Toyoda, Haruki
General Relativity and Quantum Cosmology
Quantum Physics
The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate region and flat potentials on both sides. In particular, we use the eigenstates for a reversed harmonic oscillator as the complete bases in this intermediate region. Under this setting, the transmission and reflection coefficients are studied in addition to the frequencies of QNMs.
title An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2412.09274