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The ringdown phase following a binary black hole merger is usually assumed to be well described by a linear superposition of complex exponentials (quasinormal modes). In the strong-field conditions typical of a binary black hole merger,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Jose A. Gonzalez , Ulrich Sperhake

Nuclear Magnetic Resonance (NMR) spectroscopy is an efficient technique to analyze chemical mixtures in which one acquires spectra of the chemical mixtures along one ore more dimensions. One of the important issues is to efficiently analyze…

Medical Physics · Physics 2020-11-03 Afef Cherni , Sandrine Anthoine , Caroline Chaux

The plunge-merger stage of the binary-black hole coalescence, when the bodies' velocities reach a large fraction of the speed of light and the gravitational-wave luminosity peaks, provides a unique opportunity to probe gravity in the…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio , Hector O. Silva , Alessandra Buonanno , Abhirup Ghosh

The origin and formation of stellar-mass binary black holes remains an open question that can be addressed by precise measurements of the binary and orbital parameters from their gravitational-wave signal. Such binaries are expected to…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Alice Bonino , Rossella Gamba , Patricia Schmidt , Alessandro Nagar , Geraint Pratten , Matteo Breschi , Piero Rettegno , Sebastiano Bernuzzi

We extract gravitational waveforms from numerical simulations of black hole binaries computed using the Spectral Einstein Code. We compare two extraction methods: direct construction of the Newman-Penrose (NP) scalar $\Psi_4$ at a finite…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Nicholas W. Taylor , Michael Boyle , Christian Reisswig , Mark A. Scheel , Tony Chu , Lawrence E. Kidder , Bela Szilagyi

Gravitational waves (GW) from coalescing stellar-mass black hole binaries (BBH) are expected to be detected by the Advanced Laser Interferometer Gravitational-wave Observatory and Advanced Virgo. Detection searches operate by…

Covariance matrices have proven highly effective across many scientific fields. Since these matrices lie within the Symmetric Positive Definite (SPD) manifold - a Riemannian space with intrinsic non-Euclidean geometry, the primary challenge…

Machine Learning · Computer Science 2025-04-02 Rui Wang , Shaocheng Jin , Ziheng Chen , Xiaoqing Luo , Xiao-Jun Wu

We construct a new factorized waveform including $(l,|m|)=(2,2),(2,1),(3,3),(4,4)$ modes based on effective-one-body (EOB) formalism, which is valid for spinning binary black holes (BBH) in general equatorial orbit. When combined with the…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

We perform Bayesian analysis of gravitational-wave signals from non-spinning, intermediate-mass black-hole binaries (IMBHBs) with observed total mass, $M_{\mathrm{obs}}$, from $50\mathrm{M}_{\odot}$ to $500\mathrm{M}_{\odot}$ and mass ratio…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Philip B. Graff , Alessandra Buonanno , B. S. Sathyaprakash

For the first time, we construct an inspiral-merger-ringdown waveform model within the effective-one-body formalism for spinning, nonprecessing binary black holes that includes gravitational modes beyond the dominant $(\ell,|m|) = (2,2)$…

General Relativity and Quantum Cosmology · Physics 2022-07-22 Roberto Cotesta , Alessandra Buonanno , Alejandro Bohé , Andrea Taracchini , Ian Hinder , Serguei Ossokine

Strategies to model the inspiral, merger and ringdown gravitational waveform of coalescing binaries are restricted in parameter space by the coverage of available numerical-relativity simulations. When more numerical waveforms become…

General Relativity and Quantum Cosmology · Physics 2019-01-10 Yoshinta Eka Setyawati , Frank Ohme , Sebastian Khan

We explore the precision with which the Einstein Telescope (ET) will be able to measure the parameters of intermediate-mass-ratio inspirals (IMRIs). We calculate the parameter estimation errors using the Fisher Matrix formalism and present…

General Relativity and Quantum Cosmology · Physics 2015-03-17 E. A. Huerta , Jonathan R. Gair

Numerical relativity waveforms are a critical resource in the quest to deepen our understanding of the dynamics of, and gravitational waves emitted from, merging binary systems. We present 181 new numerical relativity simulations as the…

Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole coalescence. Several Effective-One-Body Numerical-Relativity waveform…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

We report results of numerical relativity simulations for {\it new} 26 non-spinning binary neutron star systems with 6 grid resolutions using an adaptive mesh refinement numerical re\ lativity code {\tt SACRA-MPI}. The finest grid spacing…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Kenta Kiuchi , Kyohei Kawaguchi , Koutarou Kyutoku , Yuichiro Sekiguchi , Masaru Shibata

Space-based gravitational wave (GW) detectors are expected to detect the stellar-mass binary black holes (SBBHs) inspiralling in the low-frequency band, which exist in several years before the merger. Accurate GW waveforms in the inspiral…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Jie Wu , Jin Li , Xiaolin Liu , Zhoujian Cao

The detection of gravitational waves from extreme-mass-ratio inspirals (EMRIs) in space-borne antennas like Taiji and LISA promises deep insights into strong-field gravity and black hole physics. However, the complex, highly degenerate, and…

General Relativity and Quantum Cosmology · Physics 2025-08-27 Bo Liang , Chang Liu , Hanlin Song , Zhenwei Lyu , Minghui Du , Peng Xu , Ziren Luo , Sensen He , Haohao Gu , Tianyu Zhao , Manjia Liang Yuxiang Xu , Li-e Qiang , Mingming Sun , Wei-Liang Qian

We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q < 0.1 with a new technique that makes use of nonlinear numerical trajectories and efficient perturbative evolutions to compute waveforms at large radii for the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

A numerical study of the Einstein field equations, based on the 3+1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuum, within two different formalisms, namely the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Claudio Meringolo , Sergio Servidio , Pierluigi Veltri

The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-Einstein Condensates (BECs). Upon introducing the general…

Other Condensed Matter · Physics 2010-12-10 R. Carretero-Gonzalez , D. J. Frantzeskakis , P. G. Kevrekidis