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We write the Mathisson-Papapetrou equations of motion for a spinning particle in a stationary spacetime using the quasi-Maxwell formalism and give an interpretation of the coupling between spin and curvature. The formalism is then used to…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Jose Natario

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

We explore the properties of test-particle orbits in "bumpy" spacetimes - stationary, reflection-symmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous) higher-order multipole-moment structure but can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Chao Li , Ilya Mandel

We study the geodesic equation in the space-time of a Kerr black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of this equation for massive and massless particles in terms of Mino time…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

This paper investigates the properties of spin-1/2 particle Zitterbewegung in the presence of a general curved space-time background described in terms of Fermi normal co-ordinates, where the spatial part is expressed using general…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Dinesh Singh , Nader Mobed

We study the collision of two particles with the different rest masses moving in the equatorial plane of a Kerr-Taub-NUT spacetime and get the center-of-mass (CM) energy for the particles. We find that the CM energy depends not only on the…

General Relativity and Quantum Cosmology · Physics 2011-07-26 Changqing Liu , Songbai Chen , Chikun Ding , Jiliang Jing

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

This work presents, the first time, analytic solutions for the nearly equatorial, plunging motion of a spinning test-particle in Kerr spacetime. The equations of motion are solved at first-order in the small-body spin for all classes of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Gabriel Andres Piovano

We present a family of analytic solutions for the nearly-equatorial motion of a test particle with precessing spin in Kerr spacetime. We solve the equations of motion up to linear order in the small body's spin for periodic and homoclinic…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Andres Piovano

Kerr's multi-particle solution is obtained on the base of the Kerr theorem. Choosing generating function of the Kerr theorem $F$ as a product of partial functions $F_i$ for spinning particles i=1,...k, we obtain a multi-sheeted,…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii

We construct the Lagrangian formulation of a micro-structured spinning, dilating and shearing (deformable) test body, moving in arbitrary non-Riemannian backgrounds possessing all geometrical entities of curvature, torsion and…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Damianos Iosifidis

In this paper we examine the dynamics of particles subjected to test Papapetrou fields of vacuum spacetimes. The staring point of our analysis is based on fundamental electrodynamics which emerge from spacetime isometries of a Kerr and…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Rodrigo Maier

Applying the perturbative approach to geodesic equations, we study motion of the test particles in time-dependent spherically symmetric spacetimes created by oscillating dark matter. Assuming the weakness of the gravitational field, we…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Vladimir A. Koutvitsky , Eugene M. Maslov

The implications of two different time constraints on the Mathisson-Papapetrou-Dixon (MPD) equations are discussed under three spin supplementary conditions (SSC). For this reason the MPD equations are revisited without specifying the…

General Relativity and Quantum Cosmology · Physics 2017-11-17 Georgios Lukes-Gerakopoulos

The gravitomagnetic corrections to the Keplerian period for a circular, geodesic orbit of a test particle in a polar plane containing the proper angular momentum J of a central rotating body are considered.

General Relativity and Quantum Cosmology · Physics 2011-04-12 Lorenzo Iorio

We derive the equations of motion of an electrically neutral test particle for modified gravity theories in which the covariant divergence of the ordinary matter energy-momentum tensor dose not vanish (i.e. $\nabla_{\mu}T^{\mu\nu}\neq0$).…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Mahmood Roshan

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

In this study, the geodesic motion of a test particle along with its confinement is investigated within Cylindrically Symmetric Wormhole spacetime admitting to Closed Timelike Curves. The confinement of particles with or without angular…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Dhritimalya Roy , Ayanendu Dutta , Subenoy Chakraborty

Stationary axisymmetric spacetimes containing a pair of oppositely-rotating periodically-intersecting circular geodesics allow the study of various so-called `clock effects' by comparing either observer or geodesic proper time periods of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Donato Bini , Robert T. Jantzen , Bahram Mashhoon

In this paper we investigate the innermost stable circular orbit (ISCO) for a classical spinning test particle in the background of Kerr-Newman black hole. It is shown that the orbit of the spinning particle is related to the spin of the…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Yu-Peng Zhang , Shao-Wen Wei , Wen-Di Guo , Tao-Tao Sui , Yu-Xiao Liu