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相关论文: Binary dynamics at the fifth and fifth-and-a-half …

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We calculate the potential contributions of the Hamiltonian in harmonic coordinates up 6PN for binary mass systems to $O(G_N^4)$ and perform comparisons to recent results in the literature \cite{Bern:2021dqo} and \cite{Bini:2020nsb}.

广义相对论与量子宇宙学 · 物理学 2021-04-07 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

Recent years have seen significant advances in models of gravitational waveforms emitted by quasicircular compact binaries in two regimes: the weak-field, post-Newtonian regime, in which the gravitational wave energy flux has now been…

广义相对论与量子宇宙学 · 物理学 2026-04-27 Niels Warburton , Barry Wardell , David Trestini , Quentin Henry , Adam Pound , Luc Blanchet , Leanne Durkan , Guillaume Faye , Jeremy Miller

Using state-of-the-art scattering results in post-Minkowskian (PM) gravity, we improve the tidal sector of four different flavors of the effective-one-body (EOB) formalism. We notably explore both adiabatic and post-adiabatic…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Malte Schulze , Sebastiano Bernuzzi , Piero Rettegno , Joan Fontbuté , Andrea Placidi , Thibault Damour

This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Guillaume Faye , Luc Blanchet , Bala R. Iyer

We provide the post-Newtonian (PN) waveform for binary systems in motion along generic planar orbits at 2.5PN accuracy, in terms of the dynamical variables of the effective one-body (EOB) formalism. In addition to the calculation of the…

广义相对论与量子宇宙学 · 物理学 2023-08-09 Andrea Placidi , Gianluca Grignani , Troels Harmark , Marta Orselli , Sara Gliorio , Alessandro Nagar

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes…

广义相对论与量子宇宙学 · 物理学 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth

The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is…

广义相对论与量子宇宙学 · 物理学 2019-11-12 J. Blümlein , A. Maier , P. Marquard , G. Schäfer , C. Schneider

We formally show that the conservative second post-Newtonian (PN) accurate dynamics of spinning compact binaries moving in eccentric orbits, when spin effects are restricted to the leading order spin-orbit interaction cannot be chaotic for…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Achamveedu Gopakumar , Christian Koenigsdoerffer

We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable…

广义相对论与量子宇宙学 · 物理学 2012-08-16 Johannes Hartung , Jan Steinhoff

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely

We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin $S$. By construction this formalism bypasses difficulties with unphysical singularities…

高能物理 - 理论 · 物理学 2023-05-31 Zvi Bern , Dimitrios Kosmopoulos , Andrés Luna , Radu Roiban , Fei Teng

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,…

广义相对论与量子宇宙学 · 物理学 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling,…

广义相对论与量子宇宙学 · 物理学 2024-10-08 Donato Bini , Thibault Damour

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field…

高能物理 - 理论 · 物理学 2021-01-15 Michèle Levi , Fei Teng

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…

广义相对论与量子宇宙学 · 物理学 2019-09-11 Justin Vines , Jan Steinhoff , Alessandra Buonanno

We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing…

高能物理 - 理论 · 物理学 2023-08-02 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff