2018/05/29 by Hassan Firouzjahi, Firouzjahi, Hassan · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Bound state #Classical mechanics #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Electromagnetic spectrum #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geometry #Gravitation #High Energy Physics - Theory (hep-th) #Mathematics #Overtone #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Schwarzschild metric #Schwarzschild radius #Spectral line #Spectrum (functional analysis) #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1805.11289
published in arXiv (Cornell University) (Cornell University) · 15 pages, 3 figures
arxiv created 2018/05/29 · openalex publication_date 2018/05/29 · arxiv updated 2018/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the spectrum of the bound state perturbations in the interior of the Schwarzschild black hole for the scalar, electromagnetic and gravitational perturbations. Demanding that the perturbations to be regular at the center of the black hole determines the spectrum of the bound state solutions. We show that our analytic expression for the spectrum is in very good agreement with the imaginary parts of the high overtone quasi normal mode excitations obtained for the exterior region. We also present a simple scheme to calculate the spectrum numerically to good accuracies.