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Understanding the physical significance and spectral stability of black hole quasinormal modes is fundamental to high-precision spectroscopy with future gravitational wave detectors. Inspired by Mashhoon's idea of relating quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Sebastian H. Völkel

Inspired by Mashhoon's framework connecting black hole quasi-normal modes (QNMs) to bound-state resonances in inverted potentials, V$\ddot{\text{o}}$lkel's recent numerical analysis of asymptotically flat Schwarzschild black holes revealed…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Qi-Dong Chen , Chong-Bin Chen , Guo-Qing Huang , Fu-Wen Shu , Tieguang Zi

This comment critically examines the recent proposal by S.~H.~V\"olkel [Phys. Rev. Lett., arXiv:2505.17186], which asserts that the quasinormal mode (QNM) spectrum of Schwarzschild black holes can be reconstructed from bound states of an…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Davood Momeni

In this paper, we study the recently proposed Schwarzschild acoustic black hole spacetime, in which we investigate some physical phenomena related to the effective geometry of this background, including the analogous Hawking radiation and…

General Relativity and Quantum Cosmology · Physics 2021-07-15 H. S. Vieira , Kostas D. Kokkotas

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…

General Relativity and Quantum Cosmology · Physics 2018-05-31 Hassan Firouzjahi

It is known that the spectrum of quasi-normal modes of potential barriers is related to the spectrum of bound states of the corresponding potential wells. This property has been widely used to compute black hole quasi-normal modes, but it…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Sebastian H. Völkel

We study the bound state solutions for the polar perturbations in the interior of the Schwarzschild black hole. It is shown that for a given value of the spherical harmonic index $\ell$, there are a total of $\ell-1$ bound states for polar…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Hassan Firouzjahi , Kazem Rezazadeh , Masoud Molaei

We revisit our earlier work and investigate the bound state perturbations in the interior of the Schwarzschild black hole. The bound sates are defined as the perturbations in the interior of the black hole with an imaginary spectrum which…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Hassan Firouzjahi

We revisit the peculiar electromagnetic quasinormal mode spectrum of an asymptotically anti-de Sitter Schwarzschild black hole. Recent numerical calculations have shown that some quasinormal mode frequencies become purely overdamped at some…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Sean Fortuna , Ian Vega

The quasi-bound states of charged massive scalar fields in the near-extremal charged Reissner-Nordstr\"om black-hole spacetime are studied {\it analytically}. These discrete resonant modes of the composed black-hole-field system are…

High Energy Physics - Theory · Physics 2017-06-08 Shahar Hod

We construct an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle--Hawking state enclosed within a finite spherical cavity. Using a minimal renormalized stress--energy tensor consistent with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 G. G. L. Nashed , Alnadhief H. A. Alfedeel , Tiberiu Harko

In this work, we investigate the relation between bound states and quasinormal modes within black hole perturbation theory in the context of spectral instability. Our analysis indicates that the reliability of such spectral mapping…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Guan-Ru Li , Wei-Liang Qian , Xiao-Mei Kuang , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Peng Xu , Rui-Hong Yue

We extend the frequency-domain analysis of quasinormal modes in a dynamical, spherically symmetric black hole spacetime undergoing constant-rate mass evolution. In particular, we report a novel feature of the spectrum: the presence of…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lodovico Capuano , Thomas Lovo , Gorka Prieto-Varela , Subhodeep Sarkar , Adrien Kuntz , Enrico Barausse , Dawood Kothawala

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for…

General Relativity and Quantum Cosmology · Physics 2021-04-19 J. W. Maluf , S. C. Ulhoa , F. L. Carneiro , K. H. C. Castello-Branco

We study analytically the radial Schr\"odinger equation with long-range attractive potentials whose asymptotic behaviors are dominated by inverse power-law tails of the form $V(r)=-\beta_n r^{-n}$ with $n>2$. In particular, assuming that…

Quantum Physics · Physics 2017-12-06 Shahar Hod

We propose that a large Schwarzschild black hole (BH) is a bound state of highly excited, long, closed strings at the Hagedorn temperature. The size of the bound state is smaller than the string random-walk scale and determined dynamically…

High Energy Physics - Theory · Physics 2017-04-26 Ram Brustein , A. J. M. Medved

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…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

We study the quantum-mechanical decay of a Schwarzschild-like black hole into almost-flat space and weak radiation at a very late time, evaluating quantum amplitudes (not just probabilities) for transitions from initial to final states. No…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. N. St. J. Farley , P. D. D'Eath

The quasinormal-mode spectrum of the Schwarzschild-de Sitter black hole is studied in the limit of near-equal black-hole and cosmological radii. It is found that the mode_frequencies_ agree with the P"oschl-Teller approximation to one more…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alec Maassen van den Brink

We examine Schwarzschild black holes within the framework of gravitational thermodynamics, introducing an ``energy layer'' picture for black-hole mass-energy and exploring a possible energy-extraction mechanism termed…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Wen-Xiang Chen
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