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The present paper derives the post-Newtonian Lagrangian of translational motion of N arbitrary-structured bodies with all mass and spin multipoles in a scalar-tensor theory of gravity. The multipoles depend on time and evolve in accordance…

广义相对论与量子宇宙学 · 物理学 2020-07-21 Sergei M. Kopeikin

In the case of nonspinning compact binary systems on quasi-elliptic orbits, I obtain the conservative map between the constants of motion (energy and angular momentum) and the fundamental (radial and azimuthal) frequencies at the fourth…

广义相对论与量子宇宙学 · 物理学 2026-04-28 David Trestini

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

We propose a conservative two-dimensional particle model in which particles carry a continuous and classical spin. The model includes standard ferromagnetic interactions between spins of two different particles, and a nonstandard coupling…

We parameterize the second post-Newtonian (2PN) metric for a gravitating system of fluids in the generalized harmonic gauge, and find that there are only three independent 2PN parameters (i.e. $\omega$, $\delta$ and $\delta_2$) for…

广义相对论与量子宇宙学 · 物理学 2021-09-29 Yu-Mei Wu , Qing-Guo Huang

Using a separable many-body variational wavefunction, we formulate a self-consistent effective Hamiltonian theory for fermionic many-body system. The theory is applied to the two-dimensional Hubbard model as an example to demonstrate its…

强关联电子 · 物理学 2019-10-29 Xindong Wang , Hai-Ping Cheng

We study the Post-Newtonian approach implemented to the Einstein-Hilbert action adding the cosmological constant $\Lambda$ at 1PN order. We consider very small values of $\Lambda$ to derive the Lagrangian of a two body compact system at the…

广义相对论与量子宇宙学 · 物理学 2025-04-09 Ricardo Escobedo , Claudia Moreno , Rafael Hernández-Jiménez

In the present paper, the leading-order post-Newtonian spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians are calculated. We utilize the canonical formalism of Arnowitt, Deser, and Misner (ADM), which has shown to be valuable…

广义相对论与量子宇宙学 · 物理学 2012-01-31 Han Wang , Jan Steinhoff , Jing Zeng , Gerhard Schäfer

The two-fluid Maxwell system couples frictionless electron and ion fluids via Maxwell's equations. When the frequencies of light waves, Langmuir waves, and single-particle cyclotron motion are scaled to be asymptotically large, the…

等离子体物理 · 物理学 2017-08-02 J. W. Burby

This paper investigates the coplanar and circular three-body problem in the parametrized post-Newtonian (PPN) formalism, for which we focus on a class of fully conservative theories characterized by the Eddington-Robertson parameters…

广义相对论与量子宇宙学 · 物理学 2023-02-15 Yuya Nakamura , Hideki Asada

Gravitational waveform modeling in self-force theory has reached a mature stage in recent years, with fast and accurate models emerging at both adiabatic (0PA) and first post-adiabatic (1PA) orders in a multiscale expansion. Here, we…

广义相对论与量子宇宙学 · 物理学 2025-07-14 Jack Lewis , Takafumi Kakehi , Adam Pound , Takahiro Tanaka

We derive a dynamic Ornstein-Zernike equation for classical fluids undergoing overdamped Brownian motion and driven out of equilibrium. Inhomogeneous two-time correlation functions are obtained from functional differentiation of the…

软凝聚态物质 · 物理学 2013-10-31 Joseph M. Brader , Matthias Schmidt

Starting from the second post-Keplerian (2PK) Hamiltonian describing the conservative part of the two-body dynamics in massless scalar-tensor (ST) theories, we build an effective-one-body (EOB) Hamiltonian which is a $\nu$-deformation…

广义相对论与量子宇宙学 · 物理学 2018-02-07 Félix-Louis Julié

It is shown that the reduced particle dynamics of 2+1 dimensional gravity in the maximally slicing gauge is of hamiltonian nature. We give the exact diffeomorphism which transforms the expression of the spinning cone geometry in the Deser,…

高能物理 - 理论 · 物理学 2007-05-23 L. Cantini , P. Menotti , D. Seminara

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

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

We introduce a class of quantum optical Hamiltonian characterized by three-body couplings, and propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model. Unlike two-body light-matter…

量子物理 · 物理学 2023-02-01 Fabrizio Minganti , Louis Garbe , Alexandre Le Boité , Simone Felicetti

The relationship between the Arnowitt-Deser-Misner (ADM) field decomposition and the non-relativistic gravitational (NRG) fields attracted considerable interest recently. This paper compares the two, especially with respect to computing the…

广义相对论与量子宇宙学 · 物理学 2011-08-19 Barak Kol , Michele Levi , Michael Smolkin

A third post-Newtonian (3 PN) equation of motion for an inspiralling binary consisting of two spherical compact stars with strong internal gravity is derived under harmonic coordinate condition using the strong field point particle limit.…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yousuke Itoh , Toshifumi Futamase

Recent works on three-planet mean motion resonances (MMRs) have highlighted their importance for understanding the details of the dynamics of planet formation and evolution. While the dynamics of two-planet MMRs are well understood and…

地球与行星天体物理 · 物理学 2021-08-25 Antoine C. Petit