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We initiate the construction of the global Poincar\'e algebra generators in the context of the post-Minkowskian Hamiltonian formulation of gravitating binary dynamics in isotropic coordinates that is partly inspired by scattering…

广义相对论与量子宇宙学 · 物理学 2023-06-06 Hojin Lee , Sangmin Lee

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

广义相对论与量子宇宙学 · 物理学 2014-12-17 Donato Bini , Thibault Damour

Using effective field theory methods, we compute in detail the Lagrangian for the conservative dynamics of compact binary systems, for spinless constituents and in the gravitationally bound case, in massless scalar-tensor (ST) and…

广义相对论与量子宇宙学 · 物理学 2024-05-07 Gabriel Luz Almeida

In this paper, we revisit and complete our preceding work on the Fokker Lagrangian describing the dynamics of compact binary systems at the fourth post-Newtonian (4PN) order in harmonic coordinates. We clarify the impact of the non-local…

广义相对论与量子宇宙学 · 物理学 2017-03-28 Laura Bernard , Luc Blanchet , Alejandro Bohé , Guillaume Faye , Sylvain Marsat

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

高能物理 - 理论 · 物理学 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle $\theta$ from…

高能物理 - 理论 · 物理学 2023-10-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Yingxuan Xu

Driven by advances in scattering amplitudes and worldline-based methods, recent years have seen significant progress in our ability to calculate gravitational two-body scattering observables. These observables effectively encapsulate the…

广义相对论与量子宇宙学 · 物理学 2024-11-21 Alessandra Buonanno , Gustav Mogull , Raj Patil , Lorenzo Pompili

We extract all the invariants (i.e. all the functions which do not depend on the choice of phase-space coordinates) of the dynamics of two point-masses, at the third post-Newtonian (3PN) approximation of general relativity. We start by…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

We calculate the motion of binary mass systems in gravity up to the fourth post--Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying…

广义相对论与量子宇宙学 · 物理学 2020-05-20 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body formalism. The (non logarithmic)…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Donato Bini , Thibault Damour

Aims: We study the impact of Post-Newtonian correction terms on the energetic interaction between a gravitational wave (GW)-emitting supermassive black hole (SMBH) binary system and incoming stars via three-body scattering experiments.…

星系天体物理 · 物理学 2021-09-20 Branislav Avramov , Peter Berczik , Andreas Just

The far-zone flux of energy contains hereditary (tail) contributions that depend on the entire past history of the source. Using the multipolar post-Minkowskian wave generation formalism, we propose and implement a semi-analytical method in…

广义相对论与量子宇宙学 · 物理学 2009-11-13 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

广义相对论与量子宇宙学 · 物理学 2024-02-22 Francesco Fucito , Jose Francisco Morales

We present a calculation of the conservative two-body Hamiltonian of a compact binary system including a spinning black hole. We include up-to third order corrections in Newton's constant $G$, all orders in velocity, and linear and…

高能物理 - 唯象学 · 物理学 2023-10-17 Fernando Febres Cordero

We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Quentin Henry

We present the result of the spin-orbit 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 the…

高能物理 - 理论 · 物理学 2023-12-18 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

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.…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection and parameter estimation through gravitational waves, both with LIGO/Virgo and LISA. General BBH configurations will have misaligned…

广义相对论与量子宇宙学 · 物理学 2021-03-26 Sashwat Tanay , Leo C. Stein , José T. Gálvez Ghersi

We compute the gravitational interaction of two coalescing compact objects at sixth post-Newtonian order in the static limit, employing the diagrammatic approach within the effective field theory framework of General Relativity. The…

Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas Mitchell , Clifford M. Will