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The increasing scope and breadth of gravitational wave detectors is providing the opportunity to explore new parameters in gravitational-wave astronomy. Eccentricity and spin-precession are two key observables to infer the origin of a…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Snehal Tibrewal , Aaron Zimmerman , Jacob Lange , Deirdre Shoemaker

Precision observations of orbital systems have recently emerged as a promising new means of detecting gravitational waves and ultra-light dark matter, offering sensitivity in new regimes with significant discovery potential. These searches…

General Relativity and Quantum Cosmology · Physics 2025-04-25 Joshua W. Foster , Diego Blas , Adrien Bourgoin , Aurelien Hees , Míriam Herrero-Valea , Alexander C. Jenkins , Xiao Xue

Compact binaries are an important class of gravitational-wave (GW) sources that can be detected by current and future GW observatories. They provide a testbed for general relativity (GR) in the highly dynamical strong-field regime. Here, we…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Ziming Wang , Junjie Zhao , Zihe An , Lijing Shao , Zhoujian Cao

The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of relativistic two-body systems. The conservative part of the latter are given by Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Dijs de Neeling , Diederik Roest , Marcello Seri , Holger Waalkens

Gravitational waves are excellent tools to probe the foundations of General Relativity in the strongly dynamical and non-linear regime. One such foundation is Lorentz symmetry, which can be broken in the gravitational sector by the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Devin Hansen , Nicolas Yunes , Kent Yagi

We investigate gravitational waveforms from the inspiral phase of compact binary systems within the framework of quadratic gravity and map their deviations from general relativity into the parameterized post-Einstein (PPE) formalism to…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Matheus F. S. Alves , L. G. Medeiros , Davi C. Rodrigues

Binary pulsars offer a unique natural laboratory to test General Relativity (GR) and probe for deviations from its paradigm, as predicted by alternative theories of gravity. In this paper, we study two such possible deviations: a time…

General Relativity and Quantum Cosmology · Physics 2025-07-25 S. Bussieres , M. Caldarola , S. Nesseris

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

Binary pulsars are ideal to test the foundations of General Relativity, such as Lorentz symmetry, which requires that experiments produce the same results in all free-falling (i.e.inertial) frames. We here break this symmetry in the…

General Relativity and Quantum Cosmology · Physics 2017-08-21 Kent Yagi , Diego Blas , Enrico Barausse , Nicolas Yunes

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Alice Bonino , Patricia Schmidt , Geraint Pratten

The couplings between supermassive black-hole binaries and their environments within galactic nuclei have been well studied as part of the search for solutions to the final parsec problem. The scattering of stars by the binary or the…

General Relativity and Quantum Cosmology · Physics 2016-01-26 S. R. Taylor , E. A. Huerta , J. R. Gair , S. T. McWilliams

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

We examine the evolution of an almost circular Keplerian orbit interacting with unbound perturbers. We calculate the change in eccentricity and angular momentum that results from a single encounter, assuming the timescale for the…

Astrophysics · Physics 2009-11-13 Benjamin F. Collins , Re'em Sari

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are…

Earth and Planetary Astrophysics · Physics 2015-06-24 Nikolaos Georgakarakos , Siegfried Eggl

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

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

We develop the foundations of an effective-one-body (EOB) model for eccentric binary coalescences that includes the conservative dynamics, radiation reaction, and gravitational waveform modes from the inspiral and the merger-ringdown…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Tanja Hinderer , Stanislav Babak

Abstract abridged. Eclipsing binary systems provide the opportunity to measure the fundamental parameters of their component stars in a stellar-model-independent way. This makes them ideal candidates for testing and calibrating theories of…

Instrumentation and Methods for Astrophysics · Physics 2024-02-12 Luc W. IJspeert , Andrew Tkachenko , Cole Johnston , Andrej Prša , Mark A. Wells , Conny Aerts

The energy carried in the gravitational wave signal from an eccentric binary is spread across several harmonics of the orbital frequency. The inclusion of the harmonics in the analysis of the gravitational wave signal increases the…

Astrophysics · Physics 2009-11-06 M. Benacquista

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias