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Astrophysically realistic black holes may have spins that are nearly extremal (i.e., close to 1 in dimensionless units). Numerical simulations of binary black holes are important tools both for calibrating analytical templates for…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Geoffrey Lovelace , Mark A. Scheel , Bela Szilagyi

We revisit the problem of predicting the spin magnitude and direction of the black hole resulting from the merger of two black holes with arbitrary masses and spins inspiralling in quasi-circular orbits. We do this by analyzing a catalog of…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Fabian Hofmann , Enrico Barausse , Luciano Rezzolla

We present a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. We construct sequences of circular-orbit binaries of varying separation, keeping the rest mass…

General Relativity and Quantum Cosmology · Physics 2016-11-09 P. Marronetti , S. L. Shapiro

Motivated by the possibility of observing gravitational waves from merging black holes whose spins are nearly extremal (i.e., 1 in dimensionless units), we present numerical waveforms from simulations of merging black holes with the highest…

General Relativity and Quantum Cosmology · Physics 2012-01-30 Geoffrey Lovelace , Michael Boyle , Mark A. Scheel , Bela Szilagyi

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

Building on the analytical description of the post-merger (ringdown) waveform of coalescing, non-precessing, spinning, (BBHs) introduced in Phys. Rev. D 90, 024054 (2014), we propose an analytic, closed form, time-domain, representation of…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Walter Del Pozzo , Alessandro Nagar

The ringdown signal emitted during a binary black hole coalescence can be modeled as a linear superposition of the characteristic damped modes of the remnant black hole that get excited during the merger phase. While checking the…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Xisco Jiménez Forteza , Swetha Bhagwat , Sumit Kumar , Paolo Pani

We develop a waveform model to describe the inspiral, merger and ringdown of binary systems with comparable and intermediate mass-ratios. This model incorporates first-order conservative self-force corrections to the energy and angular…

General Relativity and Quantum Cosmology · Physics 2014-07-11 E. A. Huerta , Prayush Kumar , Jonathan R. Gair , Sean T. McWilliams

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

Analytic modeling of gravitational waves from inspiraling eccentric binaries poses an interesting mathematical challenge. When constructing analytic waveforms in the frequency domain, one has to contend with the fact that the phase of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Nicholas Loutrel

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We present an analytical waveform family describing gravitational waves (GWs) from the inspiral, merger and ringdown of non-spinning black-hole binaries including the effect of several non-quadrupole modes [($\ell = 2, m = \pm 1), (\ell =…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Ajit Kumar Mehta , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

The demand for long and accurate gravitational waveforms is increasing as we prepare for the next generation of detectors and seek to improve current waveform models. However, numerical relativity waveforms, while highly accurate, are often…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Joan Llobera-Querol , Sascha Husa , Maria de Lluc Planas

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno

Equilibria of binary neutron stars in close circular orbits are computed numerically in a waveless formulation: The full Einstein-relativistic-Euler system is solved on an initial hypersurface to obtain an asymptotically flat form of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

We develop a fourth-order numerical integrator to simulate the coupled spin and orbital motions of two rigid bodies having arbitrary mass distributions under the influence of their mutual gravitational potential. We simulate the dynamics of…

Earth and Planetary Astrophysics · Physics 2015-02-06 Shantanu P. Naidu , Jean-Luc Margot

We analyze 192 sets of binary black hole merger data in eccentric orbits obtained from RIT, decomposing the radiation energy into three distinct phases through time: inspiral, late inspiral to merger, and ringdown. Our investigation reveals…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Hao Wang , Yuan-Chuan Zou , Qing Wen Wu

Gravitational-wave signals from black-hole binaries with non-precessing spins are described by four parameters -- each black hole's mass and spin. It has been shown that the dominant spin effects can be modeled by a \emph{single} spin…

General Relativity and Quantum Cosmology · Physics 2013-09-11 Michael Pürrer , Mark Hannam , P. Ajith , Sascha Husa

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
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