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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

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. N. Aliev , N. Ozdemir

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 study stable circular orbits in spherically symmetric AdS black holes in various dimensions and their limiting innermost stable circular orbits (ISCOs). We provide analytic expressions for their size, angular velocity and angular…

High Energy Physics - Theory · Physics 2021-02-03 David Berenstein , Ziyi Li , Joan Simon

The worldline of an extended body in curved spacetime can be described by the Mathisson-Papapetrou-Dixon equations when its centroid, i.e., its center of mass, is fixed by a spin supplementary condition (SSC). Different SSC choices result…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Misbah Shahzadi , Georgios Lukes-Gerakopoulos , Martin Kološ

We investigate the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Mubasher Jamil , Saqib Hussain , Bushra Majeed

The existence of stable bound orbits of test particles is one of the most characteristic properties in black hole spacetimes. In higher-dimensional black holes, due to the dimensionality of gravity, there is no stable bound orbit balanced…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Takahisa Igata

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

Exact calculations of innermost stable circular orbit (ISCO) around rotating strange stars are performed within the framework of general relativity. Equations of state (EOS) of strange quark matter based on the MIT Bag Model with massive…

Astrophysics · Physics 2010-11-19 J. L. Zdunik , P. Haensel , D. Gondek-Rosinska , E. Gourgoulhon

In the present article, we study the orbital resonance corresponds to an extended object approximated up to the dipole order term in Kerr spacetime. We start with the Mathisson-Papapetrou equations under the linear spin approximation and…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Sajal Mukherjee , Santanu Tripathy

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

We investigate the dynamics of charged particles in the spacetime of a global monopole swallowed by a Reissner-Nordstr\"om (RN) black hole in the presence of an external, weak, asymptotically homogeneous magnetic field. We carefully analyze…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Hamza M. Haddad , M. Haluk Seçuk , Özgür Delice

In this paper, we investigate the motion of spinning particles in the background of covariant loop quantum gravity black holes, focusing on two distinct effective metric solutions. Both metrics incorporate a quantum parameter $\zeta$, which…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Yongbin Du , Yunlong Liu , Xiangdong Zhang

The linear in mass ratio correction to the periapsis advance of equatorial orbits around a spinning black hole is calculated for the first time and to very high precision, providing a key benchmark for different approaches modelling…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Maarten van de Meent

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 present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Andrew Mummery , Steven Balbus

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

We explore how the internal structure of a test particle affects its equatorial stable circular orbits around the Kerr black hole with or without a cosmological constant. To this end, we first explicitly write equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Ming Zhang , Jie Jiang

For an uncharged test particle in the Kerr-Bertotti-Robinson spacetime, solutions of two major types of orbits are presented, both in exact forms. First, for both prograde and retrograde motions, the radii of innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Tower Wang

The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of spinning test particles. It is well-known that these equations, which couple the Riemann curvature tensor with the antisymmetric spin tensor S, together with the…

General Relativity and Quantum Cosmology · Physics 2023-07-03 Carlos A. Benavides-Gallego , Jose Miguel Ladino , Eduard Larrañaga