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相关论文: Novel approach to binary dynamics: application to …

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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,…

广义相对论与量子宇宙学 · 物理学 2011-10-03 Alexandre Le Tiec

Recently we derived the next-to-next-to-leading order post-Newtonian Hamiltonians at spin-orbit and spin(1)-spin(2) level for a binary system of compact objects. In this talk the derivation of them will be shortly outlined at an…

广义相对论与量子宇宙学 · 物理学 2013-03-05 Johannes Hartung , Jan Steinhoff , Gerhard Schäfer

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

高能物理 - 理论 · 物理学 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

高能物理 - 理论 · 物理学 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

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 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 {\it analytically} compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies,…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Donato Bini , Thibault Damour

We present a fully analytical solution to the dynamics of the non-spinning 2.5 post-Newtonian binary problem, accounting for both the long-term (secular) and short-term (oscillatory) temporal behavior, with no restriction on eccentricity.…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Christopher Aykroyd , Adrien Bourgoin , Christophe Le Poncin-Lafitte

We derive the conservative part of the Lagrangian and the energy of a gravitationally bound two-body system at fourth post-Newtonian order, up to terms quadratic in the Newton constant. We also show that such terms are compatible with…

广义相对论与量子宇宙学 · 物理学 2013-03-14 Stefano Foffa , Riccardo Sturani

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

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

广义相对论与量子宇宙学 · 物理学 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

We address the problem of deriving the post-Minkowskian approximation, widely used in current gravitational wave literature by investigating a possible deduction out of the recursive N\"other coupling approach, from the Pauli-Fierz spin-2…

广义相对论与量子宇宙学 · 物理学 2020-10-21 Soumendra Kishore Roy , Ratna Koley , Parthasarathi Majumdar

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

广义相对论与量子宇宙学 · 物理学 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

We performed a post-Newtonian analysis of the regularized four-dimensional Einstein-Gauss-Bonnet gravitational theory (4D-EGB). The resulting metric differs from the classical parametrized post-Newtonian (PPN) formalism in that a new…

广义相对论与量子宇宙学 · 物理学 2024-06-25 Júnior D. Toniato , Martín G. Richarte

To establish a self-consistent effective one-body (EOB) theory that describes the dynamical evolution of binary systems based on the post-Minkowskian (PM) approximation, where the Hamiltonian, radiation reaction force, and waveforms are…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order (O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary…

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

We present a comprehensive study of gravitational exciton dynamics arising from higher-dimensional theories, with a focus on establishing a robust effective framework that incorporates self-interactions, higher-derivative corrections, and…

广义相对论与量子宇宙学 · 物理学 2025-03-04 Swapnil Kumar Singh

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

高能物理 - 理论 · 物理学 2020-11-11 Clifford Cheung , Mikhail P. Solon

A Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We use a novel approach (valid to linear order in the spins),…

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

The aim of this work is twofold: (i) to properly define a wave-generation formalism for compact-supported sources embedded in Einstein-Maxwell theory, relying on matched post-Newtonian and multipolar-post-Minkowskian expansions; (ii) to…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Quentin Henry , François Larrouturou , Christophe Le Poncin-Lafitte