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相关论文: Investigating spinning test particles: spin supple…

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Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

广义相对论与量子宇宙学 · 物理学 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

The Mathisson equations under the Frenkel-Mathisson supplementary condition are studied in a Schwarzschild field. The choice of solutions, which describe the motions of the proper center of mass of a spinning test particle, is discussed,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Roman Plyatsko , Oleksandr Stefanyshyn

A technique for extracting from the appropriate field equations the relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles moving in external fields is motivated and illustrated. The key assumptions are that (a) the…

广义相对论与量子宇宙学 · 物理学 2021-04-07 Peter A. Hogan

We analyse the motion of the spinning body (in the pole-dipole approximation) in the gravitational and electromagnetic fields described by the Mathisson-Papapetrou-Dixon-Souriau equations. First, we define a novel spin condition for the…

广义相对论与量子宇宙学 · 物理学 2025-02-28 K. Andrzejewski

We consider the motion of spinning particles in the field of a well known vacuum static axially-symmetric spacetime, known as $\gamma$ metric, that can be interpreted as a generalization of the Schwarzschild manifold to include prolate or…

广义相对论与量子宇宙学 · 物理学 2019-11-28 Bobir Toshmatov , Daniele Malafarina

We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys.…

广义相对论与量子宇宙学 · 物理学 2013-08-26 Luc Blanchet , Alessandra Buonanno , Alexandre Le Tiec

This work is concerned with suitable choices of tetrad fields and coordinate systems for the Hamiltonian formalism of a spinning particle derived in [E. Barausse, E. Racine, and A. Buonanno, Phys. Rev. D 80, 104025 (2009)]. After…

广义相对论与量子宇宙学 · 物理学 2016-02-03 Daniela Kunst , Tomáš Ledvinka , Georgios Lukes-Gerakopoulos , Jonathan Seyrich

In a recent work, [Phys. Rev. D. 94, 104010 (2016)], hereafter Paper I, we have numerically studied different prescriptions for the dynamics of a spinning particle in circular motion around a Schwarzschild black hole. In the present work,…

广义相对论与量子宇宙学 · 物理学 2017-10-02 Georgios Lukes-Gerakopoulos , Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar

The Hamiltonian formulation with action-angle variables is very useful when considering the motion of particles undergoing a self-force reaction due to gravitational wave emission. Using the proper time as a parameter along the trajectory…

广义相对论与量子宇宙学 · 物理学 2024-10-31 Takafumi Kakehi , Takahiro Tanaka

This paper presents an analytic perturbation approach to the dynamics of a classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD) equations of motion, with a direct application to circular motion around a Kerr black…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Dinesh Singh

This paper investigates the motion of a rotating test body in the Schwarzschild space-time. After reduction, this problem reduces to an analysis of a three-degree-of-freedom. Hamiltonian system whose desired trajectories lie on the…

动力系统 · 数学 2026-02-12 Ivan Bizyaev

We report on the multipolar equations of motion for spinning test bodies in the de Sitter spacetime of constant positive curvature. The dynamics of spinning particles is discussed for the two supplementary conditions of Frenkel and…

广义相对论与量子宇宙学 · 物理学 2012-01-11 Yuri N. Obukhov , Dirk Puetzfeld

An example of mechanical system whose configuration space is direct product of a curved space and the local group of rotations, is presented. The system is considered as a model of spinning particle moving in the space. The Hamiltonian…

dg-ga · 数学 2008-02-03 Z. Ya Turakulov

The Mathisson-Papapetrou-Dixon (MPD) equations, providing the "pole-dipole" description of spinning test particles in general relativity, have to be supplemented by a condition specifying the worldline that will represent the history of the…

广义相对论与量子宇宙学 · 物理学 2018-06-01 L. Filipe O. Costa , Georgios Lukes-Gerakopoulos , Oldřich Semerák

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

广义相对论与量子宇宙学 · 物理学 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

In this paper, we study the circular orbit of the spinning test particle in the background of a rotating boson star. Using the pole-dipole approximation and neglecting the back-reaction of the spinning test particle on the spacetime, the…

广义相对论与量子宇宙学 · 物理学 2022-09-14 Yu-Peng Zhang , Yan-Bo Zeng , Yong-Qiang Wang , Shao-Wen Wei , Yu-Xiao Liu

We study the motion of neutral and charged spinning bodies in curved space-time in the test-particle limit. We construct equations of motion using a closed covariant Poisson-Dirac bracket formulation which allows for different choices of…

广义相对论与量子宇宙学 · 物理学 2016-11-07 G. d'Ambrosi , S. Satish Kumar , J. van de Vis , J. W. van Holten

New representation of the exact Mathisson-Papapetrou-Dixon equations at the Mathisson-Pirani condition in the Kerr metric which does not contain the third-order derivatives of the coordinates of a spinning particle is obtained. For this…

广义相对论与量子宇宙学 · 物理学 2011-05-13 Roman Plyatsko , Oleksandr Stefanyshyn , Mykola Fenyk

We derive the post-Newtonian dynamics for a spinning body with Corinaldesi-Papapetrou spin supplementary condition in Kerr spacetime. Both the equations of motion for the center-of-mass of body and the spin evolution are obtained. For the…

综合物理 · 物理学 2015-10-02 Chunhua Jiang , Wenbin Lin

The worldline of a spinning test body moving in curved spacetime can be provided by the Mathisson-Papapetrou-Dixon (MPD) equations when its centroid, i.e. its center of mass, is fixed by a Spin Supplementary Condition (SSC). In the present…

广义相对论与量子宇宙学 · 物理学 2022-08-31 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos