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The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic…

广义相对论与量子宇宙学 · 物理学 2019-03-06 Georgios Lukes-Gerakopoulos

In general relativity, the motion of an extended body moving in a given spacetime can be described by a particle on a (generally non-geodesic) worldline. In first approximation, this worldline is a geodesic of the underlying spacetime, and…

广义相对论与量子宇宙学 · 物理学 2024-02-05 Paul Ramond

We consider the motion of a point particle with spin in a stationary spacetime. We define, following Witzany (2019) and later Ramond (2022), a twelve dimensional Hamiltonian dynamical system whose orbits coincide with the solutions of the…

广义相对论与量子宇宙学 · 物理学 2023-06-21 Francisco M. Blanco , Éanna É. Flanagan

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

In general relativity, the motion of an extended test body is influenced by its proper rotation, or spin. We present a covariant and physically self-consistent Hamiltonian framework to study this motion, up to quadratic order in the body's…

广义相对论与量子宇宙学 · 物理学 2025-03-18 Paul Ramond

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

We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Michael D. Hartl

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

The motion of a rapidly rotating object in curved spacetime is affected by the spin-curvature force, an effect captured in the motion of spinning test particles. Recently, Cardoso et al.~[Phys. Rev. D 105, L061501 (2022)] found an exact…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Qin Tan , Weike Deng , Sheng Long , Jiliang Jing

The dynamics of spinning test bodies, moving in rotating black hole (Kerr, Bardeen-like and Hayward-like) spacetimes, are investigated. In Kerr spacetime, all the spherical, zoom-whirl and unbound orbits are considered numerically. Along…

广义相对论与量子宇宙学 · 物理学 2022-02-10 Balázs Mikóczi , Zoltán Keresztes

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

广义相对论与量子宇宙学 · 物理学 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

We investigate the stable circular orbits of the spinning test particles around the accelerating Kerr black hole on the equatorial plane. To this end, we first calculate the equations of motion and analyze the parameter space for the…

广义相对论与量子宇宙学 · 物理学 2020-05-13 Ming Zhang , Jie Jiang

In the curved spacetime background, the trajectory of a spinning test particle will deviate from the geodesic. Using the effective potential method, we study the motion of a spinning test particle on the equatorial plane of a polymer black…

广义相对论与量子宇宙学 · 物理学 2024-12-05 Ke Chen , Shao-Wen Wei

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 relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

高能物理 - 理论 · 物理学 2009-11-06 Sudipta Das , Subir Ghosh

The motion of compact binaries is influenced by the spin of their components starting at the 1.5 post-Newtonian (PN) order. On the other hand, in the large mass ratio limit, the spin of the lighter object appears in the equations of motion…

广义相对论与量子宇宙学 · 物理学 2025-05-26 Vojtěch Witzany , Viktor Skoupý , Leo C. Stein , Sashwat Tanay

Structure of spinning particle based on the rotating black hole solution is considered. It has gyromagnetic ratio $g=2$ and a nontrivial twistorial and stringy systems. The mass and spin appear from excitations of the Kerr circular string,…

高能物理 - 理论 · 物理学 2017-08-23 A. Burinskii

This thesis aims to explore the properties of the motion of finite size, compact test bodies around a Kerr black hole in the small mass-ratio approximation. The small body is modelled as a perturbation of Kerr geometry, neglecting its…

广义相对论与量子宇宙学 · 物理学 2023-07-07 Adrien Druart

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Satish Kumar Saravanan

The motion of spinning particles around compact objects, for example a rotating stellar object moving around a supermassive black hole, is described by differential equations that are, in general, non-integrable. In this work, we present a…

广义相对论与量子宇宙学 · 物理学 2023-02-27 Jose Miguel Ladino , Carlos Andrés del Valle , Eduard Larrañaga
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