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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

We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Wen-Biao Han , Ran Cheng

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 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 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

The trajectories of test particles with spin orbiting a black hole depend on the geometry of space-time and the intrinsic physical characteristics of the test particles. In this work the motion of test particles with spin on the innermost…

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

In this work, we perform a detailed analysis of the equatorial motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime. By working out the orbit equation in the radial direction, we examine possible orbit types. We…

General Relativity and Quantum Cosmology · Physics 2019-07-19 Hakan Cebeci , Nülifer Özdemir , Seçil Şentorun

Equilibrium conditions and spin dynamics of spinning test particles are discussed in the stationary and axially symmetric Kerr-de Sitter black-hole or naked-singularity spacetimes. The general equilibrium conditions are established, but due…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zdenek Stuchlik , Jiri Kovar

We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately circular equatorial motion in the exterior Kerr…

Astrophysics · Physics 2008-12-18 Bahram Mashhoon , Dinesh Singh

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field…

General Relativity and Quantum Cosmology · Physics 2012-03-13 Lorenzo Iorio

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

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

We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael D. Hartl

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

Different types of essentially nongeodesic motions of highly relativistic spinning particles in Schwarzschild's and Kerr's background which follows from the Mathisson-Papapetrou (MP) equations are considered. It is shown that dependently on…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Roman Plyatsko , Mykola Fenyk , Oleksandr Stefanyshyn

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

A technique for extracting from the appropriate field equations the relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles moving in external fields is motivated and illustrated. The key assumptions are that (a) the…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Peter A. Hogan

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

The Mathisson-Papapetrou equations in the Schwarzschild background both at Mathisson-Pirani and Tulczyjew-Dixon supplementary condition are considered. The region of existence of highly relativistic circular orbits of a spinning particle in…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Roman Plyatsko , Mykola Fenyk

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