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Angular momentum and spin precession are expected to be generic features of a significant fraction of binary black hole systems. As such, it is essential to have waveform models that faithfully incorporate the effects of precession. Here,…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Jake Mac Uilliam , Sarp Akcay , Jonathan E. Thompson

Binary compact objects will be among the important sources for the future space-based gravitational wave detectors. Such binary compact objects include stellar massive binary black hole, binary neutron star, binary white dwarf and mixture…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Li-Fang Li , Zhoujian Cao

We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Wen-Biao Han , Ran Cheng

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

General Relativity and Quantum Cosmology · Physics 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth

In an earlier work [S. Kastha et al., PRD {\bf 98}, 124033 (2018)], we developed the {\it parametrized multipolar gravitational wave phasing formula} to test general relativity, for the non-spinning compact binaries in quasi-circular orbit.…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

We obtain the equations of motion for compact binary systems (black holes or neutron stars) in an alternative theory of gravity known as Einstein-AEther theory, which supplements the standard spacetime metric with a timelike four-vector…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Fatemeh Taherasghari , Clifford M. Will

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 present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

Recent observations have demonstrated that some subset of even moderately wide-separation planet-hosting binaries are preferentially configured such that planetary and binary orbits appear to lie within the same plane. In this work, we…

Earth and Planetary Astrophysics · Physics 2024-07-04 Konstantin Gerbig , Malena Rice , J. J. Zanazzi , Sam Christian , Andrew Vanderburg

Compact objects in general relativity approximately move along geodesics of spacetime. It is shown that the corrections to geodesic motion due to spin (dipole), quadrupole, and higher multipoles can be modeled by an extension of the point…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Jan Steinhoff

The recent first detection of gravitational waves (GWs) from binary black hole mergers has spurred a renewed interest in possible deviations from General Relativity (GR), since they could be detected in the GWs emitted by such systems. Of…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Hugo Roussille

The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each other: the draconitic, anomalistic and sidereal periods. They all coincide in the Keplerian…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Lorenzo Iorio

Regular and chaotic test particle motion in gravitational fields due to stellar bodies with quadrupolar and octupolar deformation are studied using Poincare surfaces of section. In first instance, we analyze the purely Newtonian case and we…

General Relativity and Quantum Cosmology · Physics 2008-06-27 Javier Ramos-Caro , Framsol Lopez-Suspes , Guillermo A. Gonzalez

We calculate the real-space trajectory and spin precession of a generic spinning compact binary inspiral at any time instant using the dynamical renormalization group formalism. This method leads to closed-form analytic solutions to the…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Zixin Yang , Adam K. Leibovich

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of General…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

We provide ready-to-use time-domain gravitational waveforms for spinning compact binaries with precession effects through 1.5PN order in amplitude and compute their mode decomposition using spin-weighted -2 spherical harmonics. In the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 K. G. Arun , Alessandra Buonanno , Guillaume Faye , Evan Ochsner
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