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We present a simple method to derive the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particles (pole-dipole particles), as well as particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Leclerc

We compare the rigorous equations describing the motion of spinning test particles in gravitational and electromagnetic fields, and show that if the Mathisson-Pirani spin condition holds then exact gravito-electromagnetic analogies emerge.…

General Relativity and Quantum Cosmology · Physics 2016-05-12 L. Filipe O. Costa , José Natário , Miguel Zilhão

See hep-ph/0304045

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ramy Naboulsi

In the context of investigations of possible highly relativistic motions of a spinning particle in the gravitational field, which can be described by the Mathisson equations under different supplementary condition, we analyze the circular…

General Relativity and Quantum Cosmology · Physics 2008-03-04 Roman Plyatsko , Oleksandr Stefanyshyn

We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Tetsuya Shiromizu , Uchida Gen

The motion of spinless particles in Riemann-Cartan (RC) $U_{4}$ and teleparallel spacetimes is revisited on the light of gravitational waves hitting on the spinless test particles. It is shown that in the case Cartan contortion is totally…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

The bounded orbital motion of a massive spinless test particle in the background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines that are auto-parallels of different metric compatible spacetime connections. In one case the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Cebeci , T. Dereli , R. W. Tucker

The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Lorenzo Iorio , Herbert I. M. Lichtenegger , Bahram Mashhoon

We investigate for order and chaos the dynamical system of a spinning test particle of mass $m$ moving in the spacetime background of a Kerr black hole of mass M. This system is approximated in our investigation by the linear in spin…

General Relativity and Quantum Cosmology · Physics 2016-07-12 Georgios Lukes-Gerakopoulos , Matthaios Katsanikas , Panos A. Patsis , Jonathan Seyrich

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 noncovariant spin formalism is crucial for the…

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

The motion of a body endowed with dipolar as well as quadrupolar structure is investigated in the Kerr background according to the Dixon's model, extending a previous analysis done in the Schwarzschild background. The full set of evolution…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

We investigate the motion of massive charged and spinning test particles around a charged dyonic black hole spacetime surrounded by perfect fluid scalar dark matter field. We obtain the equations of motion and find the expressions for the…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Sanjar Shaymatov , Pankaj Sheoran , Sanjay Siwach

Deviation and precession effects of a bunch of spinning particles in the field of a weak gravitational plane wave are studied according to the Mathisson-Papapetrou-Dixon (MPD) model. Before the passage of the wave the particles are at rest…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Donato Bini , Andrea Geralico , Antonello Ortolan

In this work, we will explore the precession of particle spins in spherical spacetimes. We first argue that the geometrical optics (WKB) approximation is insufficient, due to the absence of a glory spot in the backward scattering of…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Xiankai Pang , Qingquan Jiang , Yunchuan Xiang , Gao-Ming Deng

We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shingo Suzuki , Kei-ichi Maeda

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

On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made. The motion of a body with vertical spin…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. B. Karpov

It has been established in Schwarzschild spacetime (and more generally in Kerr spacetime) that pairs of geometrically different timelike geodesics with the same radial and azimuthal frequencies exist in the strong field regime. The…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Daniela Kunst , Volker Perlick , Claus Lämmerzahl

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

The Hamiltonian formulation with action-angle variables is very useful when considering the motion of particles undergoing a self-force reaction due to gravitational wave emission. Using the proper time as a parameter along the trajectory…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Takafumi Kakehi , Takahiro Tanaka