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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

The worldline of an extended body in curved spacetime can be described by the Mathisson-Papapetrou-Dixon equations when its centroid, i.e., its center of mass, is fixed by a spin supplementary condition (SSC). Different SSC choices result…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Misbah Shahzadi , Georgios Lukes-Gerakopoulos , Martin Kološ

The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of spinning test particles. It is well-known that these equations, which couple the Riemann curvature tensor with the antisymmetric spin tensor S, together with the…

广义相对论与量子宇宙学 · 物理学 2023-07-03 Carlos A. Benavides-Gallego , Jose Miguel Ladino , Eduard Larrañaga

This work discusses the motion of extended test bodies as described by the Mathisson-Papapetrou-Dixon (MPD) equations in the pole-dipole-quadrupole approximation. We focus on the case that the quadrupole is solely induced by the spin of the…

广义相对论与量子宇宙学 · 物理学 2023-10-13 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

We consider a spinning test particle around a rotating black hole and compare the Mathisson-Papapetrou-Dixon (MPD) formalism under the Tulczyjew-Dixon spin supplementary condition to the test-mass limit of the effective-one-body (EOB)…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Angelica Albertini , Viktor Skoupý , Georgios Lukes-Gerakopoulos , Alessandro Nagar

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

We consider a spinning test-body in circular motion around a nonrotating black hole and analyze different prescriptions for the body's dynamics. We compare, for the first time, the Mathisson-Papapetrou formalism under the Tulczyjew…

广义相对论与量子宇宙学 · 物理学 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

In the present work, our main objective is to investigate the orbits of spinning test particles around a Schwarzschild black hole under the influence of a quintessence matter field (SQBH). We begin with the dynamics of the spinning test…

广义相对论与量子宇宙学 · 物理学 2022-07-14 Shobhit Giri , Pankaj Sheoran , Hemwati Nandan , Sanjar Shaymatov

We study the dynamics of spinning charged test particles orbiting a Schwarzschild black hole immersed in a test uniform magnetic field. This setup provides a simple but physically relevant framework for modeling particle motion in…

广义相对论与量子宇宙学 · 物理学 2026-05-05 Misbah Shahzadi , Martin Kolos , Ondrej Zelenka , Georgios Lukes-Gerakopoulos

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

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

广义相对论与量子宇宙学 · 物理学 2018-08-21 Donato Bini , Andrea Geralico

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

The influence of an arbitrary spin orientation on the quadrupolar structure of an extended body moving in a Schwarzschild spacetime is investigated. The body dynamics is described by the Mathisson-Papapetrou-Dixon model, without any…

广义相对论与量子宇宙学 · 物理学 2015-09-17 Donato Bini , Andrea Geralico

We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

广义相对论与量子宇宙学 · 物理学 2017-03-22 Wen-Biao Han , Ran Cheng

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

In the present work, we aimed to investigate the dynamics of spinning charged and magnetized test particles around both electrically and magnetically charged quantum-improved black holes. We derive the equations of motion for charged…

广义相对论与量子宇宙学 · 物理学 2023-11-07 Jose Miguel Ladino , Carlos A. Benavides-Gallego , Eduard Larrañaga , Javlon Rayimbaev , Farrux Abdulxamidov

This paper describes an application of the Mathisson-Papapetrou-Dixon (MPD) equations in analytic perturbation form to the case of circular motion around a radially accreting or radiating black hole described by the Vaidya metric. Based on…

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

This work investigates whether an extended test body obeying the Mathisson-Papapetrou- Dixon equations under the Ohashi-Kyrian-Semerak spin supplementary condition can follow geodesic trajectories in curved spacetimes. In particular, we…

广义相对论与量子宇宙学 · 物理学 2022-10-05 Sajal Mukherjee , Georgios Lukes-Gerakopoulos , Rajesh Kumble Nayak

The analytical and numerical solutions of the Mathisson-Papapetrou equations under the Mathisson-Pirani supplementary condition describing highly relativistic (ultrarelativistic) motions of a spinning particle in a Schwarzschild field are…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Roman Plyatsko
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