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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 this work we calculate some estimations of the gravitomagnetic clock effect, taking into consideration not only the rotating gravitational field of the central mass, but also the spin of the test particle, obtaining values for $\Delta…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Nelson Velandia-Heredia , Juan Manuel Tejeiro-Sarmiento

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

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

The motion of a spinning test particle given by the Mathisson-Papapetrou equations is studied on an exterior vacuum C metric background spacetime describing the accelerated motion of a spherically symmetric gravitational source. We consider…

General Relativity and Quantum Cosmology · Physics 2009-01-12 Donato Bini , Christian Cherubini , Andrea Geralico , Bahram Mashhoon

The worldline of a spinning test body moving in curved spacetime can be provided by the Mathisson-Papapetrou-Dixon (MPD) equations when its centroid, i.e. its center of mass, is fixed by a Spin Supplementary Condition (SSC). In the present…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

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

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

The Mathisson-Papapetrou-Dixon (MPD) equations, providing the "pole-dipole" description of spinning test particles in general relativity, have to be supplemented by a condition specifying the worldline that will represent the history of the…

General Relativity and Quantum Cosmology · Physics 2018-06-01 L. Filipe O. Costa , Georgios Lukes-Gerakopoulos , Oldřich Semerák

The motion of spinning test particles around a traversable wormhole is investigated using the Mathisson Papapetrous Dixon equations, which couple the Riemann tensor with the antisymmetric tensor $S^{ab}$, related to the spin of the…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Carlos A. Benavides-Gallego , Wen-Biao Han , Daniele Malafarina , Bobomurat Ahmedov , Ahmadjon Abdujabbarov

A new representation, which does not contain the third-order derivatives of the coordinates, of the exact Mathisson-Papapetrou-Dixon equations, describing the motion of a spinning test particle, is obtained under the assumption of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Roman Plyatsko , Oleksandr Stefanyshyn , Mykola Fenyk

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

In this paper, we study the circular orbit of the spinning test particle in the background of a rotating boson star. Using the pole-dipole approximation and neglecting the back-reaction of the spinning test particle on the spacetime, the…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Yu-Peng Zhang , Yan-Bo Zeng , Yong-Qiang Wang , Shao-Wen Wei , Yu-Xiao Liu

We consider the motion of spinning test particles with nonzero rest mass in the "pole-dipole" approximation, as described by the Mathisson-Papapetrou-Dixon (MPD) equations, and examine its properties in dependence on the spin supplementary…

General Relativity and Quantum Cosmology · Physics 2015-09-25 O. Semerák , M. Šrámek

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

The spin-curvature coupling as captured by the so-called Mathisson-Papapetrou-Dixon (MPD) equations is the leading order effect of the finite size of a rapidly rotating compact astrophysical object moving in a curved background. It is also…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Vojtěch Witzany , Jan Steinhoff , Georgios Lukes-Gerakopoulos

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

We derive the post-Newtonian dynamics for a spinning body with Corinaldesi-Papapetrou spin supplementary condition in Kerr spacetime. Both the equations of motion for the center-of-mass of body and the spin evolution are obtained. For the…

General Physics · Physics 2015-10-02 Chunhua Jiang , Wenbin Lin

The motion of massless spinning test particles is investigated using the Newman-Penrose formalism within the Mathisson-Papapetrou model extended to massless particles by Mashhoon and supplemented by the Pirani condition. When the "multipole…

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

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
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