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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

In this work, we investigated the motion of spinning test particles around a rotating wormhole, extending, in this way, the previous work of Benavides-Gallego et al. in [Phys. Rev. D 101, no.12, 124024] to the general case. Using the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Farrux Abdulxamidov , Carlos A. Benavides-Gallego , Wen-Biao Han , Javlon Rayimbaev , Ahmadjon Abdujabbarov

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…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Shobhit Giri , Pankaj Sheoran , Hemwati Nandan , Sanjar Shaymatov

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…

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

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)…

General Relativity and Quantum Cosmology · Physics 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

The spin-curvature coupling in the Mathisson-Papapetrou-Dixon (MPD) formalism induces non-geodesic motion, shifting the orbital parameters of spinning test particles in black hole spacetimes. We investigate whether these quantitative shifts…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Yong Song , Jiaqi Fu , Yiting Cen

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

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

In this paper we investigate the innermost stable circular orbit (ISCO) of a spinning test particle moving in the rotating Maxwell-dilaton black hole spacetime. By using the Mathisson-Papapetrou-Dixon equations along with the Tulczyjew…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Carlos Conde , Cristian Galvis , Eduard Larrañaga

This paper formulates, via the Mathisson - Papapetrou - Dixon equations, the system of equations for a test particle with spin when it is orbiting a weak Kerr metric. We shall restrict ourselves to the case of circular orbits with the…

Earth and Planetary Astrophysics · Physics 2016-09-14 Nelson Velandia , Juan Manuel Tejeiro

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

We investigate the spin dynamics of a millisecond pulsar (MSP) in a tightly bounded orbit around a massive black hole. These binaries are progenitors of the extreme-mass-ratio-inspirals (EMRIs) and intermediate-mass-ratio-inspirals (IMRIs)…

High Energy Astrophysical Phenomena · Physics 2019-02-11 Kaye Jiale Li , Kinwah Wu , Dinesh Singh

We study the behaviour of spinning test particles in the Schwarzschild spacetime. Using Mathisson-Papapetrou equations of motion we confine our attention to spatially circular orbits and search for observable effects which could eventually…

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

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…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Jose Miguel Ladino , Carlos A. Benavides-Gallego , Eduard Larrañaga , Javlon Rayimbaev , Farrux Abdulxamidov

In this paper analytical solutions of the Mathisson-Papapetrou equations that describe nonequatorial circular orbits of a spinning particle in the Schwarzschild-de Sitter background are studied, and the role of the cosmological constant is…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Roman Plyatsko , Volodymyr Panat , Mykola Fenyk

We consider different spin supplementary conditions (SSC) for a spinning compact binary with the leading-order spin-orbit (SO) interaction. The Lagrangian of the binary system can be constructed but it is acceleration-dependent in two cases…

General Relativity and Quantum Cosmology · Physics 2017-03-27 Balázs Mikóczi

In this article we partially implement the program outlined in the previous paper of the authors [A. V. Aminova and P. I. Chumarov, Phys. Rev. D 88, 044005 (2013)]. The program owes its origins to the following comment in paper [M.…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Asya V. Aminova , Dieter R. Brill , Pavel I. Chumarov , Aleksandr Yu. Shemakhin

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,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roman Plyatsko , Oleksandr Stefanyshyn

We study the orbits of a spinning particle in the Reissner-Nordstr\"om black hole exterior through the spin-curvature coupling to leading order in its spin. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Siang-Yao Ciou , Tien Hsieh , Da-Shin Lee

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…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines