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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

An energy-momentum tensor for general relativistic spinning fluids compatible with Tulczyjew-type supplementary condition is derived from the variation of a general Lagrangian with unspecified explicit form. This tensor is the sum of a term…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Morteza Mohseni

This paper derives the expressions of the multipole moments of an isolated gravitating source with an accuracy corresponding to the second post-Newtonian (2-PN) approximation of general relativity. The moments are obtained by a procedure of…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Luc Blanchet

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

量子物理 · 物理学 2019-11-27 Philip K. Schwartz , Domenico Giulini

A generalized version of the Einstein equations in the 4-index form, containing the Riemann tensor linearly, is derived. It is shown, that the gravitational energy-momentum density tensor outside a source is represented across the Weyl…

广义相对论与量子宇宙学 · 物理学 2012-10-09 Zahid Zakir

Single particle dynamics in electron microscopes, ion or electron lithographic instruments, particle accelerators, and particle spectrographs is described by weakly nonlinear ordinary differential equations. Therefore, the linear part of…

加速器物理 · 物理学 2007-05-23 Georg H. Hoffstaetter

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 use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Rafael A. Porto , Ira Z. Rothstein

We consider the gravitational sector of the superstring effective action with axion-matter couplings. The field equations are developed in the post-Newtonian scheme and approximate solutions for a spinning point mass and a cosmic string are…

广义相对论与量子宇宙学 · 物理学 2009-10-22 A. A. Kehagias

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

核理论 · 物理学 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

We give a surface integral derivation of the leading-order evolution equations for the spin and energy of a relativistic body interacting with other bodies in the post-Newtonian expansion scheme. The bodies can be arbitrarily shaped and can…

广义相对论与量子宇宙学 · 物理学 2016-08-16 Étienne Racine

The dynamics of "dipolar particles", i.e. particles endowed with a four-vector mass dipole moment, is investigated using an action principle in general relativity. The action is a specific functional of the particle's world line, and of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

An analytical solution for the light trajectory in the near-zone of the gravitational field of one pointlike body in arbitrary slow-motion in the post-post-Newtonian approximation is presented in harmonic gauge. Expressions for total light…

广义相对论与量子宇宙学 · 物理学 2017-09-19 Sven Zschocke

We give a surface integral derivation of post-1-Newtonian translational equations of motion for a system of arbitrarily structured bodies, including the coupling to all the bodies' mass and current multipole moments. The derivation requires…

广义相对论与量子宇宙学 · 物理学 2013-10-07 Étienne Racine , Éanna É. Flanagan

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Thierry Mora , Clifford M. Will

Using a position operator obtained for spin 1 particles by the present author and Wigner, we obtain a quantum relativistic result for the hidden momentum force experienced by particles with structure. In particular, our result applies to…

量子物理 · 物理学 2015-06-23 R. F. O'Connell

The general classical equation of spin motion is rigorously derived for a particle with electric and magnetic charges and dipole moments in electromagnetic fields. The equation describing the spin motion relative to the momentum direction…

高能物理 - 唯象学 · 物理学 2024-09-25 Alexander J. Silenko

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. Covariant equations for this motion are demonstrated to possess pathological solutions, when treated nonperturbatively in…

高能物理 - 理论 · 物理学 2007-05-23 I. B. Khriplovich

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

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