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We model the inspiral of a compact stellar-mass object into a massive nonrotating black hole including all dissipative and conservative first-order-in-the-mass-ratio effects on the orbital motion. The techniques we develop allow inspirals…

General Relativity and Quantum Cosmology · Physics 2016-03-22 Thomas Osburn , Niels Warburton , Charles R. Evans

Using the Reduced Basis approach, we efficiently compress and accurately represent the space of waveforms for non-precessing binary black hole inspirals, which constitutes a four dimensional parameter space (two masses, two spin…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Frank Herrmann , Scott E. Field , Chad R. Galley , Evan Ochsner , Manuel Tiglio

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra

As 2 black holes bound to each other in a close binary approach merger their inspiral time becomes shorter than the characteristic inflow time of surrounding orbiting matter. Using an innovative technique in which we represent the changing…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Scott C. Noble , Bruno C. Mundim , Hiroyuki Nakano , Julian H. Krolik , Manuela Campanelli , Yosef Zlochower , Nicolás Yunes

The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matthew Caudill , Gregory B. Cook , Jason D. Grigsby , Harald P. Pfeiffer

Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments…

Astrophysics · Physics 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

The starting point of any general relativistic numerical simulation is a solution of the Hamiltonian and momentum constraints that (ideally) represents an astrophysically realistic scenario. We present a new method to produce initial data…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Petr Tsatsin , Pedro Marronetti

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

The inspiral of binary black holes is governed by gravitational radiation reaction at binary separations r < 1000 M, yet it is too computationally expensive to begin numerical-relativity simulations with initial separations r > 10 M.…

Astrophysics of Galaxies · Physics 2010-05-12 Michael Kesden , Ulrich Sperhake , Emanuele Berti

We perform simulations of magnetohydrodynamic accretion onto equal-mass, nonspinning binary black holes in 3+1 full general relativity addressing the effects of orbital eccentricity. We find that binary black holes with non-negligible…

High Energy Astrophysical Phenomena · Physics 2025-08-11 Vikram Manikantan , Vasileios Paschalidis , Gabriele Bozzola

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Dillon Buskirk , Maria C. Babiuc Hamilton

One often-used approximation in the study of binary compact objects (i.e., black holes and neutron stars) in general relativity is the instantaneously circular orbit assumption. This approximation has been used extensively, from the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark Miller

When binary black holes form in the field, it is expected that their orbits typically circularize before coalescence. In galactic nuclei and globular clusters, binary black holes can form dynamically. Recent results suggest that…

High Energy Astrophysical Phenomena · Physics 2018-11-13 Marcus E. Lower , Eric Thrane , Paul D. Lasky , Rory Smith

We used two numerical models, namely the \texttt{CBwaves} and \texttt{SEOBNRE} algorithms, based on the post-Newtonian and effective-one-body approaches for binary black holes evolving on eccentric orbits. We performed 20.000 new…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Balázs Kacskovics , Dániel Barta

The signal-to-noise ratios (SNRs) for quasi-circular binary black hole inspirals computed from restricted post-Newtonian waveforms are compared with those attained by more complete post-Newtonian signals, which are superpositions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck

Detection of gravitational waves from compact binaries involving at least one intermediate mass black hole, and component mass ratios in the range $0.1$-$10^{-4}$, are among the primary sources for future space detectors with target strain…

General Relativity and Quantum Cosmology · Physics 2026-02-25 M Laxman , Ryuichi Fujita , Chandra Kant Mishra

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

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

Inspiraling compact binaries with non-negligible orbital eccentricities are plausible gravitational wave (GW) sources for the upcoming network of GW observatories. In this paper, we present two prescriptions to compute post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Sashwat Tanay , Maria Haney , Achamveedu Gopakumar
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