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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 distribution of binary black hole mergers contains key information concerning the formation channels of these objects, and the astrophysical environments where they form, evolve and coalesce. To quantify the suitability of deep…

General Relativity and Quantum Cosmology · Physics 2020-08-27 Asad Khan , E. A. Huerta , Arnav Das

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

Black holes in dense astrophysical environments, such as globular clusters or in the vicinity of other massive objects, may possess accelerations. Such acceleration would modulate the characteristics of the quasi-periodic oscillations…

High Energy Astrophysical Phenomena · Physics 2025-10-28 Hamza Rehman , Saddam Hussain , G. Abbas , Tao Zhu

Binary black-hole systems with spins aligned or anti-aligned to the orbital angular momentum provide the natural ground to start detailed studies of the influence of strong-field spin effects on gravitational wave observations of coalescing…

General Relativity and Quantum Cosmology · Physics 2010-01-09 Christian Reisswig , Sascha Husa , Luciano Rezzolla , Ernst Nils Dorband , Denis Pollney , Jennifer Seiler

The coalescence of a neutron star with a black hole is a primary science target of ground-based gravitational wave detectors. Constraining or measuring the neutron star spin directly from gravitational wave observations requires knowledge…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nick Tacik , Francois Foucart , Harald P. Pfeiffer , Curran Muhlberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

Measurements of the binary black hole spin distribution from the growing catalog of gravitational-wave observations can help elucidate the astrophysical processes shaping the formation and evolution of these systems. Spin-orbit resonances…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Sylvia Biscoveanu

The standard approach to initial data for both analytic and numerical computations of black hole collisions has been to use conformally-flat initial geometry. Among other advantages, this choice allows the simple superposition of holes with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. Krivan , R. H. Price

Binary boson stars can be used to model the nonlinear dynamics and gravitational wave signals of merging ultracompact, but horizonless, objects. However, doing so requires initial data satisfying the Hamiltonian and momentum constraints of…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Nils Siemonsen , William E. East

Standard choices of quasi-circular orbit parameters for black-hole binary evolutions result in eccentric inspiral. We introduce a conceptually simple method, which is to integrate the post-Newtonian equations of motion through hundreds of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sascha Husa , Mark Hannam , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

We present numerical simulations of binary black hole systems which for the first time last for about one orbital period for close but still separate black holes as indicated by the absence of a common apparent horizon. An important part of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Wolfgang Tichy , Nina Jansen

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

Eccentric black-hole binaries are among the most awaited sources of gravitational waves, yet their dynamics lack a consistent framework that provides a detailed and physically robust evolutionary description due to gauge issues. We present…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Giulia Fumagalli , Nicholas Loutrel , Davide Gerosa , Matteo Boschini

We perform numerical simulations of black-hole binaries to study the exchange of spin and orbital angular momentum during the last, highly nonlinear, stages of the coalescence process. To calculate the transfer of angular momentum from…

Astrophysics · Physics 2009-11-11 M. Campanelli , C. O. Lousto , Y. Zlochower

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Serguei Ossokine , Tim Dietrich , Evan Foley , Reza Katebi , Geoffrey Lovelace

In this paper, we investigate the dynamics of a binary system that orbits a rotating supermassive black hole. Our approach employs Fermi-Walker transport to construct a local inertial reference frame, and to set up a Newtonian binary…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Kei-ichi Maeda , Priti Gupta , Hirotada Okawa

When numerically solving Einstein's equations for binary black holes (BBH), we must find initial data on a three-dimensional spatial slice by solving constraint equations. The construction of initial data is a multi-step process, in which…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Iago B. Mendes , Nils L. Vu , Oliver Long , Harald P. Pfeiffer , Robert Owen

We introduce a method to quantify the initial eccentricity, gravitational wave frequency, and mean anomaly of numerical relativity simulations that describe non-spinning black holes on moderately eccentric orbits. We demonstrate that this…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Sarah Habib , E. A. Huerta

We propose a quasi-local formula for the linear momentum of black-hole horizons inspired by the formalism of quasi-local horizons. We test this formula using two complementary configurations: (i) by calculating the large orbital linear…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Badri Krishnan , Carlos O. Lousto , Yosef Zlochower

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola