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Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for…

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

We study the merger of black hole-neutron star (BH-NS) binaries in numerical relativity, focusing on the properties of the remnant disk and the ejecta, varying the mass of compactness of the NS and the mass and spin of the BH. We find that…

High Energy Astrophysical Phenomena · Physics 2024-11-22 Shichuan Chen , Luohan Wang , Kota Hayashi , Kyohei Kawaguchi , Kenta Kiuchi , Masaru Shibata

Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection and parameter estimation through gravitational waves, both with LIGO/Virgo and LISA. General BBH configurations will have misaligned…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Sashwat Tanay , Leo C. Stein , José T. Gálvez Ghersi

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

Observations of X-ray binaries indicate a dearth of compact objects in the mass range from $\sim 2-5 M_{\odot}$. The existence of this (first mass) gap has been used to discriminate between proposed engines behind core-collapse supernovae.…

High Energy Astrophysical Phenomena · Physics 2023-01-02 P. Drozda , K. Belczynski , R. O'Shaughnessy , T. Bulik , C. L. Fryer

We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Giuseppe Ficarra , Carlos O. Lousto

Star clusters appear to be the ideal environment for the assembly of neutron star-neutron star (NS-NS) and black hole-neutron star (BH-NS) binaries. These binaries are among the most interesting astrophysical objects, being potential…

Astrophysics of Galaxies · Physics 2020-09-30 Giacomo Fragione , Sambaran Banerjee

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel

We perform fully relativistic calculations of binary neutron stars in corotating, circular orbit. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits gravitational radiation, causing the system to…

General Relativity and Quantum Cosmology · Physics 2016-08-25 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

Binary-driven-hypernovae (BdHNe) within the induced gravitational collapse (IGC) paradigm have been introduced to explain energetic ($E_{\rm iso}\gtrsim 10^{52}$~erg), long gamma-ray bursts (GRBs) associated with type Ic supernovae (SNe).…

High Energy Astrophysical Phenomena · Physics 2015-12-09 C. L. Fryer , F. G. Oliveira , J. A. Rueda , R. Ruffini

We present an approximate metric for a binary black hole spacetime to construct initial data for numerical relativity. This metric is obtained by asymptotically matching a post-Newtonian metric for a binary system to a perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen , Bernd Bruegmann

Sequences of initial-data sets representing binary black holes in quasi-circular orbits have been used to calculate what may be interpreted as the innermost stable circular orbit. These sequences have been computed with two approaches. One…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pablo Laguna

The environment surrounding supermassive black holes (SMBHs) in galactic nuclei (GNs) is expected to harbour stellar-mass binary black hole (BBH) populations. These binaries were suggested to form a hierarchical triple system with the SMBH,…

High Energy Astrophysical Phenomena · Physics 2022-12-21 László Gondán

Binaries of supermassive black holes (MBHBs) represent the primary sources of the gravitational wave background (GWB) detectable by Pulsar Timing Arrays (PTAs). The eccentricity with which binaries form in galactic mergers is the key…

Astrophysics of Galaxies · Physics 2026-01-06 Alessia Gualandris , Justin Read , Federica Fastidio , Julian Chan , Thibaut François , Nader Khonji , Walter Dehnen

We review the current status of attempts to numerically model the merger of neutron star-neutron star (NSNS) and black hole-neutron star (BHNS) binary systems, and we describe the understanding of such events that is emerging from these…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Matthew D. Duez

The modelling of unequal mass binary black hole systems is of high importance to detect and estimate parameters from these systems. Numerical relativity (NR) is well suited to study systems with comparable component masses, $m_1\sim m_2$,…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Antoni Ramos-Buades , Maarten van de Meent , Harald P. Pfeiffer , Hannes R. Rüter , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder

Attempts to understand the formation of binary black hole (BBH) systems detected via gravitational wave (GW) emission are affected by many unknowns and uncertainties, from both the observational and theoretical (astrophysical modelling)…

High Energy Astrophysical Phenomena · Physics 2025-12-18 Jam Sadiq , Thomas Dent , Ana Lorenzo-Medina

Wide, highly eccentric ($e>0.9$) compact binaries can naturally arise as progenitors of gravitational wave (GW) mergers. These systems are expected to have a significant population in the mHz band (e.g., $\sim 3-45$ detectable stellar-mass…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Zeyuan Xuan , Smadar Naoz , Alvin K. Y. Li , Bence Kocsis , Erik Petigura , Alan M. Knee , Jess McIver , Kyle Kremer , Will M. Farr

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Pedro Marronetti