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

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We specialize the radiation-reaction part of the Arnowitt-Deser-Misner (ADM) Hamiltonian for many non-spinning point-like bodies, calculated by Jaranowski and Schaefer [1], to third-and-a-half post-Newtonian approximation to general…

广义相对论与量子宇宙学 · 物理学 2008-11-26 C. Koenigsdoerffer , G. Faye , G. Schaefer

We present and discuss the possibility, derived from work carried out 20 years ago, that the equations of motion for compact binary neutron stars at the third post-Newtonian (3PN) order in general relativity might actually depend on the…

广义相对论与量子宇宙学 · 物理学 2025-07-14 Clifford M. Will

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

广义相对论与量子宇宙学 · 物理学 2018-10-17 Luc Blanchet , Athanassios S. Fokas

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory…

高能物理 - 理论 · 物理学 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

In recent years, significant progress has been made in the computation of conservative and dissipative scattering observables using the post-Minkowskian approach to gravitational dynamics. However, for accurate modeling of unbound orbits,…

广义相对论与量子宇宙学 · 物理学 2023-07-18 Karthik Rajeev , S. Shankaranarayanan

The increasing sophistication and accuracy of numerical simulations of compact binaries (especially binary black holes) presents the opportunity to test the regime in which post-Newtonian (PN) predictions for the emitted gravitational waves…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Lawrence E. Kidder

We derive from first principles third post-Newtonian (3PN) accurate Keplerian-type parametric solution to describe PN-accurate dynamics of non-spinning compact binaries in hyperbolic orbits. Orbital elements and functions of the parametric…

广义相对论与量子宇宙学 · 物理学 2018-08-15 Gihyuk Cho , Achamveedu Gopakumar , Maria Haney , Hyung Mok Lee

We construct an explicit electromagnetic analogue of the post-Newtonian Hamiltonian framework widely used in gravitational-wave physics. Starting from the Lorentz--Dirac equation and implementing Landau--Lifshitz order reduction, we derive…

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

广义相对论与量子宇宙学 · 物理学 2013-08-27 Saeed Mirshekari

Dissipative tidal interactions can be used to probe the out-of-equilibrium physics of neutron stars using gravitational wave observations. In this paper, we present the first post-Newtonian (PN) corrections to the orbital dynamics of a…

广义相对论与量子宇宙学 · 物理学 2025-01-15 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in…

高能物理 - 理论 · 物理学 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order (order (v/c)^4 beyond Newtonian theory), and for gravitational…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Michael E. Pati , Clifford M. Will

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

广义相对论与量子宇宙学 · 物理学 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

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…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

We compute the third post-Newtonian (3PN) accurate instantaneous contributions to the radiated gravitational wave (GW) energy and angular momentum arising from the hyperbolic passages of non-spinning compact objects. The present…

广义相对论与量子宇宙学 · 物理学 2022-04-21 Gihyuk Cho , Subhajit Dandapat , Achamveedu Gopakumar

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

广义相对论与量子宇宙学 · 物理学 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is obtained by resolving the infra-red ambiguity…

广义相对论与量子宇宙学 · 物理学 2014-04-02 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Donato Bini , Thibault Damour

In previous works, we obtained the leading, next-to-leading and next-to-next-to-leading (NNL) post-Newtonian (PN) corrections in the conservative tidal interactions between two compact non-spinning objects using a Lagrangian of effective…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Quentin Henry , Guillaume Faye , Luc Blanchet