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Spin precession occurs in binary black holes whose spins are misaligned with the orbital angular momentum. Otherwise, the spin configuration is constant and the subsequent binary dynamics and gravitational-wave emission are much simpler. We…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Matthew Mould

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

We compute the gravitational fluxes and waveform for eccentric compact binaries including matter effects through adiabatic tidal interactions within the post-Newtonian approximation. The computations are performed at the relative 2.5PN…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Henry

We study the (leading) 4-derivative corrections, including both parity even and odd terms, to electrically-charged Kerr-Newman black holes. The linear perturbative equations are then solved order by order in terms of two dimensionless…

High Energy Physics - Theory · Physics 2025-07-08 Liang Ma , Yi Pang , H. Lu

The equations of motion of compact binary systems have been derived in the post-Newtonian (PN) approximation of general relativity. The current level of accuracy is 3.5PN order. The conservative part of the equations of motion (neglecting…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

We analyze the secular evolution of hierarchical triple systems to second-order in the quadrupolar perturbation induced on the inner binary by the distant third body. The Newtonian three-body equations of motion, expanded in powers of the…

Earth and Planetary Astrophysics · Physics 2021-03-10 Clifford M. Will

We study the dynamics of a pair of extremal (half-BPS) black holes in $\mathcal{N}=8$ supergravity, as a potentially solvable model of gravitational dynamics. As a diagnosis of hidden symmetries, we ask whether the perihelion of the orbits…

High Energy Physics - Theory · Physics 2019-09-04 Simon Caron-Huot , Zahra Zahraee

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

The coalescence of compact objects is one of the most promising sources of gravitational waves for ground-based interferometric detectors, such as advanced LIGO and Virgo. Generically, com- pact objects in binaries are expected to be…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

Motivated by the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we analyze and contrast different constructions of the metric outside an isolated system, using post-Minkowskian…

General Relativity and Quantum Cosmology · Physics 2023-05-23 David Trestini , François Larrouturou , Luc Blanchet

In this paper, we study gravitational waves generated by binary systems within an extension of General Relativity which is described by the addition of quadratic in curvature tensor terms to the Einstein-Hilbert action. Treating quadratic…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yunho Kim , Archil Kobakhidze , Zachary S. C. Picker

We study the gravitational wave (GW) emission of sources perturbed by periodic dynamical forces which do not cause secular evolution in the orbital elements. We construct a corresponding post-Newtonian waveform model and provide estimates…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Lorenz Zwick , Christopher Tiede , Alessandro A. Trani , Andrea Derdzinski , Zoltan Haiman , Daniel J. D'Orazio , Johan Samsing

This work studies the periapsis shift in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. Two perturbative methods are systematically developed. The first work for small eccentricity but very general orbit size and…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Jinhong He , Shaofei Xu , Junji Jia

Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

We present highly accurate, dimensionally-reduced gravitational waveforms for binary inspirals whose components have large spin-induced quadrupole moments. The spin-induced quadrupole of a body first appears in the phase of a waveform at…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Horng Sheng Chia , Thomas D. P. Edwards , Richard N. George , Aaron Zimmerman , Adam Coogan , Katherine Freese , Cody Messick , Christian N. Setzer

Accurate calculation of the gradual inspiral motion in an extreme mass-ratio binary system, in which a compact-object inspirals towards a supermassive black-hole requires calculation of the interaction between the compact-object and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

We introduce pyEFPEHM, a post-Newtonian (PN) inspiral waveform model for eccentric and spin-precessing compact binaries that includes higher-order modes and matter effects. Accurate and efficient waveform models capturing these effects are…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Gonzalo Morras , Geraint Pratten , Patricia Schmidt , Alessandra Buonanno