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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

Recently, the gravitational scattering of two black holes (BHs) treated at the leading order in the weak-field, or post-Minkowskian (PM), approximation to General Relativity has been shown to map bijectively onto a simpler effectively…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Justin Vines , Jan Steinhoff , Alessandra Buonanno

We apply standard post-Newtonian methods in general relativity to locate the innermost circular orbit (ICO) of irrotational and corotational binary black-hole systems. We find that the post-Newtonian series converges well when the two…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

A test particle in a noncoplanar orbit about a member of a binary system can undergo Kozai-Lidov oscillations in which tilt and eccentricity are exchanged. An initially circular highly inclined particle orbit can reach high eccentricity. We…

Solar and Stellar Astrophysics · Physics 2021-08-04 Stephen H. Lubow

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

Orbital eccentricity in gravitational-wave signals from merging compact object binaries is a powerful indicator of their formation channel. Several binary black hole mergers and a neutron star--black hole merger have been reported to…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Teagan A. Clarke , Isobel M. Romero-Shaw , Charlie Hoy , Jakob Stegmann , Paul D. Lasky , Eric Thrane

Most gravitational wave (GW) events observed by the LIGO and Virgo detectors are consistent with mergers of binary black holes (BBHs) on quasi-circular orbits. However, some events are also consistent with non-zero orbital eccentricity,…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Divyajyoti , Sumit Kumar , Snehal Tibrewal , Isobel M. Romero-Shaw , Chandra Kant Mishra

We model two mergers of orbiting binary neutron stars, the first forming a black hole and the second a differentially rotating neutron star. We extract gravitational waveforms in the wave zone. Comparisons to a post-Newtonian analysis allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Anderson , Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Patrick M. Motl , David Neilsen , Carlos Palenzuela , Joel E. Tohline

The construction of high-resolution shock-capturing schemes is vital in producing highly accurate gravitational waveforms from neutron star binaries. The entropy based flux limiting (EFL) scheme is able to perform fast converging binary…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Georgios Doulis , Sebastiano Bernuzzi , Wolfgang Tichy

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasi-circular orbits. The cases studied range from the Cook-Baumgarte…

The origin and formation of stellar-mass binary black holes remains an open question that can be addressed by precise measurements of the binary and orbital parameters from their gravitational-wave signal. Such binaries are expected to…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Alice Bonino , Rossella Gamba , Patricia Schmidt , Alessandro Nagar , Geraint Pratten , Matteo Breschi , Piero Rettegno , Sebastiano Bernuzzi

For an arbitrary strong, spherically symmetric super-horizon curvature perturbation, we present analytical solutions of the Einstein equations in terms of asymptotic expansion over the ratio of the Hubble radius to the length-scale of the…

General Relativity and Quantum Cosmology · Physics 2012-10-09 A. G. Polnarev , Tomohiro Nakama , Jun'ichi Yokoyama

We present a detailed description of techniques developed to combine 3D numerical simulations and, subsequently, a single black hole close-limit approximation. This method has made it possible to compute the first complete waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Baker , M. Campanelli , C. Lousto

The generalized post-Keplerian parametrization for compact binaries on eccentric bound orbits is established at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories. This result is used to compute the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 David Trestini

Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer

Many articles have partially studied the configuration of eccentric orbital binary black hole (BBH) mergers. However, there is a scarcity of systematic and comprehensive research on the effect of eccentricity on BBH dynamics. Thanks to the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Hao Wang , Yuan-Chuan Zou , Qing-Wen Wu , Yu Liu , Xiaolin Liu

The post-Newtonian formalism plays an integral role in the models used to extract information from gravitational wave data, but models that incorporate this formalism are inherently approximations. Disagreement between an approximate model…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Caroline B. Owen , Carl-Johan Haster , Scott Perkins , Neil J. Cornish , Nicolás Yunes

In general neutron stars in binaries are spinning. Recently, a new quasi-equilibrium approximation that includes a rotational velocity piece for each star has been proposed to describe binary neutron stars with arbitrary rotation states in…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Wolfgang Tichy

We present a new set of 95 numerical relativity simulations of non-precessing binary black holes (BBHs). The simulations sample comprehensively both black-hole spins up to spin magnitude of 0.9, and cover mass ratios 1 to 3. The simulations…

General Relativity and Quantum Cosmology · Physics 2016-10-17 Tony Chu , Heather Fong , Prayush Kumar , Harald P. Pfeiffer , Michael Boyle , Daniel A. Hemberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

When simulating the inspiral and coalescence of a binary black-hole system, special care needs to be taken in handling the singularities. Two main techniques are used in numerical-relativity simulations: A first and more traditional one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan Thornburg , Peter Diener , Denis Pollney , Luciano Rezzolla , Erik Schnetter , Ed Seidel , Ryoji Takahashi
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