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We study the motion of spinning test particles in Kerr spacetime using the Mathisson-Papapetrou equations; we impose different supplementary conditions among the well known Corinaldesi-Papapetrou, Pirani and Tulczyjew's and analyze their…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico

The behaviour of charged spinning test particles moving along circular orbits in the equatorial plane of the Reissner-Nordstr\"om spacetime is studied in the framework of the Dixon-Souriau model completed with standard choices of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

The motion of spinning test particles along circular orbits in static vacuum spacetimes belonging to the Weyl class is discussed. Spin alignment and coupling with background parameters in the case of superimposed Weyl fields, corresponding…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico , Andrea Lunari

A spinning particle in the Schwarzschild spacetime deviates from geodesic behavior because of its spin. A spinless particle also deviates from geodesic behavior when a test radiation field is superimposed on the Schwarzschild background: in…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Donato Bini , Andrea Geralico

We study the behavior of nonzero rest mass spinning test particles moving along circular orbits in the Schwarzschild spacetime in the case in which the components of the spin tensor are allowed to vary along the orbit, generalizing some…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico , Robert T. Jantzen

The deviation of the path of a spinning particle from a circular geodesic in the Schwarzschild spacetime is studied by an extension of the idea of geodesic deviation. Within the Mathisson-Papapetrou-Dixon model and assuming the spin…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen

The motion of an extended body up to the quadrupolar structure is studied in the Schwarzschild background following Dixon's model and within certain restrictions (constant frame components for the spin and the quadrupole tensor, center of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

To the first post-Newtonian order, if two test particles revolve in opposite directions about a massive, spinning body along two circular and equatorial orbits with the same radius, they take different times to return to the reference…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Lorenzo Iorio

We study the motion of a spinning test particle in Schwarzschild spacetime, analyzing the Poincar\'e map and the Lyapunov exponent. We find chaotic behavior for a particle with spin higher than some critical value (e.g. $S_{cr} \sim 0.64…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Shingo Suzuki , Kei-ichi Maeda

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…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Ke Chen , Shao-Wen Wei

We consider the orbits of particles with spin in the Schwarzschild spacetime. Using the Papapetrou-Dixon equations of motion for spinning particles, we solve for the orbits and focus on those that exhibit chaos using both Poincar\'e maps…

General Relativity and Quantum Cosmology · Physics 2010-07-13 Chris Verhaaren , Eric W. Hirschmann

A way to test electromagnetic field and spacetime properties around black holes is by considering the dynamics of test particles. In fact, in real astrophysical scenarios, it is hard to determine spacetime geometry which is dominating due…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Farrux Abdulxamidov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Zdeněk Stuchlík

Circular orbits of spinning test particles and their stability in Schwarzschild-like backgrounds are investigated. For these space-times the equations of motion admit solutions representing circular orbits with particles spins being…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Morteza Mohseni

The orbital velocity profile of circular timelike geodesics in the equatorial plane of a Kerr black hole has a non-monotonic radial behavior, provided that the spin parameter $a$ of the black hole is bigger than a certain critical value…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Jafar Khodagholizadeh , Volker Perlick , Ali Vahedi

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…

General Relativity and Quantum Cosmology · Physics 2019-11-28 Bobir Toshmatov , Daniele Malafarina

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…

Dynamical Systems · Mathematics 2026-02-12 Ivan Bizyaev

The Mathisson-Papapetrou equations in the Schwarzschild background both at Mathisson-Pirani and Tulczyjew-Dixon supplementary condition are considered. The region of existence of highly relativistic circular orbits of a spinning particle in…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Roman Plyatsko , Mykola Fenyk

In this paper we report the results of a thorough numerical study of the motion of spinning particles in Kerr spacetime with different prescriptions. We first evaluate the Mathisson-Papapetrou equations with two different spin supplementary…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Georgios Lukes-Gerakopoulos , Jonathan Seyrich , Daniela Kunst

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…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Misbah Shahzadi , Martin Kolos , Ondrej Zelenka , Georgios Lukes-Gerakopoulos

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roman Plyatsko
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