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Modelling the gravitational wave signal from binaries beyond comparable mass is an important open issue in gravitational wave astronomy. For non-spinning binaries and when the spins are aligned with the orbital angular momentum, some first…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Maria de Lluc Planas , Joan Llobera-Querol , Sascha Husa

We construct quasiequilibrium sequences of black hole-neutron star binaries in general relativity. We solve Einstein's constraint equations in the conformal thin-sandwich formalism, subject to black hole boundary conditions imposed on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

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

Using a post-Newtonian diagnostic tool developed by Mora and Will, we examine numerically generated quasiequilibrium initial data sets that have been used in recently successful numerical evolutions of binary black holes through plunge,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Sai Iyer , Clifford M. Will

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

We study the merger of black hole (BH)-neutron star (NS) binaries with a variety of BH spins aligned or anti-aligned with the orbital angular momentum, and with the mass ratio in the range MBH/MNS = 2--5, where MBH and MNS are the mass of…

High Energy Astrophysical Phenomena · Physics 2017-12-27 Koutarou Kyutoku , Hirotada Okawa , Masaru Shibata , Keisuke Taniguchi

We follow the inspiral and merger of equal-mass black holes (BHs) by the moving puncture technique and demonstrate that both the exterior solution and the asymptotic gravitational waveforms are unchanged when the initial interior solution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zachariah B. Etienne , Joshua A. Faber , Yuk Tung Liu , Stuart L. Shapiro , Thomas W. Baumgarte

The most general bound binary black hole (BBH) system has an eccentric orbit and precessing spins. The detection of such a system with significant eccentricity close to the merger would be a clear signature of dynamical formation. In order…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Khun Sang Phukon , Nathan K. Johnson-McDaniel , Amitesh Singh , Anuradha Gupta

Can one distinguish a binary black hole undergoing a merger from a binary neutron star if the individual compact companions have masses that fall inside the so-called mass gap of $3-5\ M_\odot$? For neutron stars, achieving such masses…

High Energy Astrophysical Phenomena · Physics 2020-02-28 Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Lunan Sun , Kōji Uryū

We solve the Hamiltonian and momentum constraints of general relativity for two black holes with nearly extremal spins and relativistic boosts in the puncture formalism. We use a non-conformally-flat ansatz with an attenuated superposition…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Ian Ruchlin , James Healy , Carlos O. Lousto , Yosef Zlochower

Simulations of binary neutron stars have seen great advances in terms of physical detail and numerical quality. However, the spin of the neutron stars, one of the simplest global parameters of binaries, remains mostly unstudied. We present…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Sebastiano Bernuzzi , Tim Dietrich , Wolfgang Tichy , Bernd Bruegmann

Of the three main types of binaries detectable through ground-based gravitational wave observations, black hole-neutron star (BHNS) mergers remain the most elusive. While candidates BHNS exist in the triggers released during the third…

High Energy Astrophysical Phenomena · Physics 2020-06-19 Francois Foucart

We revisit the population properties of neutron star-black hole (NSBH) mergers using low-mass compact binary coalescences reported through GWTC-4. Employing pyEFPE, an inspiral-only waveform model that captures both orbital eccentricity and…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Gonzalo Morras , Geraint Pratten , Patricia Schmidt

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

Traditional black-hole binary puncture initial data is conformally flat. This unphysical assumption is coupled with a lack of radiation signature from the binary's past life. As a result, waveforms extracted from evolutions of this data…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Bruno C. Mundim , Bernard J. Kelly , Yosef Zlochower , Hiroyuki Nakano , Manuela Campanelli

We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a…

Analysis of PDEs · Mathematics 2025-07-24 Allen Juntao Fang , Jérémie Szeftel , Arthur Touati

The study of unbound binary-black-hole encounters provides a gauge-invariant approach to exploring strong-field gravitational interactions in two-body systems, which can subsequently inform waveform models for bound orbits. In this work, we…

We introduce NRPyElliptic, an elliptic solver for numerical relativity (NR) built within the NRPy+ framework. As its first application, NRPyElliptic sets up conformally flat, binary black hole (BBH) puncture initial data (ID) on a single…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Thiago Assumpcao , Leonardo R. Werneck , Terrence Pierre Jacques , Zachariah B. Etienne

The possible formation histories of neutron star binaries remain unresolved by current gravitational-wave catalogs. The detection of an eccentric binary system could be vital in constraining compact binary formation models. We present the…

High Energy Astrophysical Phenomena · Physics 2025-05-20 Rahul Dhurkunde , Alexander H. Nitz

We present a new scheme for constructing initial data for the Einstein field equations using the conformal thin-sandwich formulation that does not assume conformal flatness or approximate Killing vectors. This includes a method for…

General Relativity and Quantum Cosmology · Physics 2012-11-29 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius
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