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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 construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Jessie Durk , Timothy Clifton

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

The spin-induced quadrupole moment-based test of black hole nature is routinely used to probe the true nature of detected binary signals, assuming a circular orbit. We extend the applicability of the method to binaries in eccentric orbits.…

General Relativity and Quantum Cosmology · Physics 2025-12-24 N. V. Krishnendu

This paper presents techniques and results for simulations of unequal mass, non-spinning black hole binaries with pseudo-spectral methods. Specifically, we develop an efficient root-finding procedure to ensure the black hole initial data…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Luisa T. Buchman , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

Gravitational waves (GW), emanating from binary black holes (BBH), encode vital information about their source. GW signals enable us to deduce key properties of the BBH population across the universe, including mass, spin, and eccentricity…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Muhammad Zeeshan , Richard O'Shaughnessy

In this paper we investigate the parabolic-hyperbolic formulation of the vacuum constraint equations introduced by R{\'a}cz with a view to constructing multiple black hole initial data sets without spin. In order to respect the natural…

General Relativity and Quantum Cosmology · Physics 2019-08-12 Florian Beyer , Leon Escobar , Jörg Frauendiener , Joshua Ritchie

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

We present the first comparison between numerical relativity (NR) simulations of an eccentric binary black hole system with corresponding post-Newtonian (PN) results. We evolve an equal-mass, non-spinning configuration with an initial…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Ian Hinder , Frank Herrmann , Pablo Laguna , Deirdre Shoemaker

We show that gas disks around the components of an orbiting binary system (so-called minidisks) may be susceptible to a resonant instability which causes the minidisks to become significantly eccentric. Eccentricity is injected by, and also…

High Energy Astrophysical Phenomena · Physics 2024-02-14 John Ryan Westernacher-Schneider , Jonathan Zrake , Andrew MacFadyen , Zoltán Haiman

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

Stellar-mass binary black holes may have circumbinary disks if formed through common-envelope evolution or within gaseous environments. Disks can drive binaries into wider and more eccentric orbits, while gravitational waves harden and…

High Energy Astrophysical Phenomena · Physics 2024-10-29 Isobel M. Romero-Shaw , Samir Goorachurn , Magdalena Siwek , Christopher J. Moore

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We present a new approach for setting initial Cauchy data for multiple black hole spacetimes. The method is based upon adopting an initially Kerr-Schild form of the metric. In the case of non-spinning holes, the constraint equations take a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nigel T. Bishop , Richard Isaacson , Manoj Maharaj , Jeffrey Winicour

A new numerical method to construct binary black hole/neutron star initial data is presented. The method uses three spherical coordinate patches; Two of these are centered at the binary compact objects and cover a neighborhood of each…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Antonios A. Tsokaros , Koji Uryu

We present a reanalysis of 17 gravitational-wave events detected with Advanced LIGO and Advanced Virgo in their first three observing runs, using the new IMRPhenomTEHM model -- a phenomenological time-domain multipolar waveform model for…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Maria de Lluc Planas , Antoni Ramos-Buades , Cecilio García-Quirós , Héctor Estellés , Sascha Husa , Maria Haney

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

The characteristic initial value problem has been implemented as a robust computational algorithm (the PITT NULL CODE), with direct application to binary black holes. The event horizon can be analyzed by characteristic techniques as a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeffrey Winicour