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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 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

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…

General Relativity and Quantum Cosmology · Physics 2016-11-07 G. d'Ambrosi , S. Satish Kumar , J. van de Vis , J. W. van Holten

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,…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Georgios Lukes-Gerakopoulos , Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar

We study chaos dynamics of spinning particles in Kerr spacetime of rotating black holes use the Papapetrou equations by numerical integration. Because of spin, this system exists many chaos solutions, and exhibits some exceptional dynamic…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wen-Biao Han

We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately circular equatorial motion in the exterior Kerr…

Astrophysics · Physics 2008-12-18 Bahram Mashhoon , Dinesh Singh

The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of an extended test body in general relativity. This system of equations, though, is underdetermined and has to be accompanied by constraining supplementary conditions, even…

General Relativity and Quantum Cosmology · Physics 2021-07-16 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

The Mathisson-Papapetrou-Dixon (MPD) equations for the motion of electrically neutral massive spinning particles are analysed, in the pole-dipole approximation, in an Einstein-Maxwell plane-wave background spacetime. By exploiting the high…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S Kessari , D Singh , R W Tucker , C Wang

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…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Misbah Shahzadi , Georgios Lukes-Gerakopoulos , Martin Kološ

The Mathisson-Papapetrou equations in Kerr's background are considered. The region of existence of highly relativistic planar circular orbits of a spinning particle in this background and dependence of the particle's Lorentz $\gamma$-factor…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Roman Plyatsko , Mykola Fenyk

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…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael D. Hartl

We investigate the finite-time instability of massive spinning test particles around a rotating hairy black hole generated through gravitational decoupling. The particle motion is described by the full Mathisson-Papapetrou-Dixon equations…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Surojit Dalui , Xian-Hui Ge

We investigate the motion of spinning test bodies in General Relativity. By means of a multipolar approximation method for extended test bodies we derive the equations of motion, and classify the orbital motion of pole-dipole test bodies in…

General Relativity and Quantum Cosmology · Physics 2014-10-01 Eva Hackmann , Claus Lämmerzahl , Yuri N. Obukhov , Dirk Puetzfeld , Isabell Schaffer

Spin of a test particle is a fundamental property that can affect its motion in a gravitational field. In this work we consider the effect of particle spin on its deflection angle and gravitational lensing in the equatorial plane of…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Zhuoming Zhang , Gaofeng Fan , Junji Jia

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

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…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Dinesh Singh

The motion of a spinning particle in the exterior of a Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation, including the spin-curvature coupling to leading…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Yi-Ping Chen , Tien Hsieh , Da-Shin Lee

The circular motion of spinning massive test particles in the equatorial plane of a rotating black hole is investigated in the case in which the components of the spin tensor are allowed to vary along the orbit.

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

We investigate the dynamics of spinning test particles in the vicinity of Einstein--geometric Proca (EGP) Anti-de Sitter (AdS) compact objects, which arise from metric-Palatini gravity extended by the antisymmetric part of the affine…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Gulzoda Rakhimova , Beyhan Puliçe , Elham Ghorani , Farruh Atamurotov , Ahmadjon Abdujabbarov

We revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations describing the motion of spinning particles on a fixed background. Assuming Ricci-flatness and the existence of a Killing-Yano tensor, we demonstrate that…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Geoffrey Compère , Adrien Druart