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The general motion of spinning test particles to the leading order approximation of spin in the brane-world spacetime is investigated. Analytical integrations for the equations of motion and linear shifts in orbital frequency are obtained.…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Yunlong Liu , Xiangdong Zhang

We investigate the motion of a spinning test particle in a spatially-flat FRW-type space-time in the framework of the Einstein-Cartan theory. The space-time has a torsion arising from a spinning fluid filling the space-time. We show that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Morteza Mohseni

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

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordstr\"om geometry. Due to the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Banibrata Mukhopadhyay

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

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

This paper investigates the spin precession of test particles moving in the equatorial plane of general stationary and axisymmetric spacetimes using the Mathisson-Papapetrou-Dixon equations. The spin precession angles for two cases, the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Shaofei Xu , Junji Jia

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany

After considering the reference case of the motion of spinning test bodies in the equatorial plane of the Schwarzschild space-time, we generalize the results to the case of the motion of a spinning particle in the equatorial plane of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. Mortazavimanesh , Morteza Mohseni

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

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

The influence of spin on a photon's motion in a Schwarzschild and FRW spacetimes is studied. The first order correction to the geodesic motion is found. It is shown that unlike the world-lines of spinless particles, the photons world-lines…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Z. Turakulov , M. Safonova

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…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Georgios Lukes-Gerakopoulos

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 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…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Jose Miguel Ladino , Carlos Andrés del Valle , Eduard Larrañaga

We investigate the circular motion of charged test particles in the gravitational field of a charged mass described by the Reissner-Nordstr\"om (RN) spacetime. We study in detail all the spatial regions where circular motion is allowed…

General Relativity and Quantum Cosmology · Physics 2015-03-19 D. Pugliese , H. Quevedo , R. Ruffini

We investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in both a central force potential and Schwarzschild spacetime. We find noncommutative form of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

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

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…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Qin Tan , Weike Deng , Sheng Long , Jiliang Jing

The motion of a massive particle in Rindler space has been studied and obtained the geodesics of motion. The orbits in Rindler space are found to be quite different from that of Schwarzschild case. The paths are not like the Perihelion…

General Physics · Physics 2018-11-20 Sanchita Das , Soma Mitra , Somenath Chakrabarty