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A major aim of gravitational wave astronomy is to test observationally the Kerr nature of black holes. The strongest such test, with minimal additional assumptions, is provided by observations of multiple ringdown modes, also known as black…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Collin D. Capano , Jahed Abedi , Shilpa Kastha , Alexander H. Nitz , Julian Westerweck , Yi-Fan Wang , Miriam Cabero , Alex B. Nielsen , Badri Krishnan

We study adjacent Kerr quasinormal-mode overtones under a spin scan with overtone labels held fixed, using a public Leaver-type solver on a uniform grid. The observable is the modulus of the complex-frequency separation between neighbors;…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Yuye Wu , Hong-Bo Jin

Merging binary black holes exhibit a ringdown phase in which they primarily emit gravitational waves in the shape of damped sinusoids corresponding to quasi-normal modes of the Kerr remnant. In general, each mode carries four degrees of…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Nicole Khusid , Will Farr , Max Isi

We propose two frequency-domain filters to analyze ringdown signals of binary black hole mergers. The first rational filter is constructed based on a set of (arbitrary) quasi-normal modes (QNMs) of the remnant black holes, whereas the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Sizheng Ma , Keefe Mitman , Ling Sun , Nils Deppe , François Hébert , Lawrence E. Kidder , Jordan Moxon , William Throwe , Nils L. Vu , Yanbei Chen

We study finite-window black-hole spectroscopy in the loud-event regime and ask when a multimode ringdown fit supports a stable common-remnant Kerr interpretation. Starting from whitened, tapered detector-frame data, we prove a…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Ruiliang Li

The local polarization of the electromagnetic field plays a crucial role in the interaction of light with spin- and valley-polarized quantum sources. Unlike free-space electromagnetic waves, whose polarization degeneracy enables flexible…

Modelling the end point of binary black hole mergers is a cornerstone of modern gravitational-wave astronomy. Extracting multiple quasinormal mode frequencies from the ringdown signal allows the remnant black hole to be studied in…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eliot Finch , Christopher J. Moore

We develop a unified mathematical method for the pole structure of frequency-domain Green's functions and the associated quasinormal spectra in radial boundary value problems reducible to the Gauss hypergeometric equation. By systematically…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Ye Zhou

Exotic compact objects may resemble black holes very closely while remaining horizonless. They may be distinguished from black holes because they effectively give rise to a resonant cavity for the propagation of low frequency gravity waves.…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Randy S. Conklin , Bob Holdom

Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Norichika Sago , Soichiro Isoyama , Hiroyuki Nakano

We consider eigenmodes of a ring resonator made of a circular dielectric waveguide. Taking into account the polarization corrections, which are responsible for the interaction of polarization and orbital properties of electromagnetic waves…

Optics · Physics 2007-05-23 K. Yu. Bliokh , D. Yu. Frolov

This paper gives a complete characterization of resonant orbits in a Kerr spacetime. A resonant orbit is defined as a geodesic for which the longitudinal and radial orbital frequencies are commensurate. Our analysis is based on expressing…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Jeandrew Brink , Marisa Geyer , Tanja Hinderer

We develop a theoretical framework for the quasi-low-dimensional confinement-induced resonances (CIRs) of particles with the arbitrary three-dimensional two-body interactions, based on the Huang-Yang pseudopotential and the treatment of…

Quantum Gases · Physics 2014-10-29 Tao Shi , Su Yi

GW231123 is a short-duration, low-frequency gravitational wave signal consistent with a binary black hole coalescence and dominated by the merger-ringdown regime due to the high mass of the source. We demonstrate that fits of this ringdown…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Harrison Siegel , Nicole M. Khusid , Maximiliano Isi , Will M. Farr

Resonant splitting phenomena of photons in periodic T-shape waveguide structure are investigated by the Green's function method. It is found that, except for the (n-1)-fold resonant splitting in the low frequency region, (n-2)-fold resonant…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenjin Yin , Kaike Yang , Yuee Xie , Tao Ouyang , Yuanping Chen

The ringdown phase of a binary black-hole merger provides a clean probe of strong-field gravity, as it can be modeled with minimal assumptions. The quasi-normal-mode frequencies encode the mass and spin of the Kerr black-hole remnant, while…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Chiara Anselmo , Costantino Pacilio , Davide Gerosa

In black hole perturbation formalism, the gravitational waveform is obtained by the convolution of the Green's function and the source term causing radiation emission. Hence, the ringdown properties, namely its start time, depend on both…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Naritaka Oshita , Vitor Cardoso

The ''ringdown'' stage of gravitational-wave signals from binary black hole mergers, mainly consisting of a superposition of quasinormal modes emitted by the merger remnant, is a key tool to test fundamental physics and to probe black hole…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Crescimbeni , Gregorio Carullo , Emanuele Berti , Giada Caneva Santoro , Mark Ho-Yeuk Cheung , Paolo Pani

During the post-merger regime of a binary black hole merger, the gravitational wave signal consists of a superposition of quasi-normal modes (QNMs) of the remnant black hole. It has been observed empirically, primarily through numerical…

General Relativity and Quantum Cosmology · Physics 2025-01-22 A. Ribes Metidieri , B. Bonga , B. Krishnan

In this paper, we consider band-structure calculations governed by the Helmholtz or Maxwell equations in piecewise homogeneous periodic materials. Methods based on boundary integral equations are natural in this context, since they…

Numerical Analysis · Mathematics 2015-05-18 Alex H. Barnett , Leslie Greengard
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