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The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied. Two perturbative methods, the near-circular approximation and post-Newtonian methods, are developed, and shown to be…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Qianchuan Wang , Junji Jia

This work studies the periapsis shift in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. Two perturbative methods are systematically developed. The first work for small eccentricity but very general orbit size and…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Jinhong He , Shaofei Xu , Junji Jia

The periapsis shift (PS) of spinning test particles in the equatorial plane of arbitrary stationary and axisymmetric spacetime is studied using the post-Newtonian method. The result is expressed as a half-integer power series of $M/p$ where…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Shaofei Xu , Junji Jia

We study the periapsis shift of a quasi-circular orbit in general static spherically symmetric spacetimes. We derive two formulae in full order with respect to the gravitational field, one in terms of the gravitational mass $m$ and the…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Tomohiro Harada , Takahisa Igata , Hiromi Saida , Yohsuke Takamori

We derive a formula for the nodal precession frequency and the Keplerian period of a particle at an arbitrarily inclined orbit (with a minimum latitudinal angle reached at the orbit) in the post-Newtonian approximation in the external field…

Astrophysics · Physics 2009-11-07 Nail Sibgatullin

We study the periapsis shift of timelike bound orbits in the equatorial plane in the Zipoy-Voorhees spacetime, which is an exact, static, axisymmetric, and vacuum solution characterized by the deformation parameter $\gamma$, including the…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Akihito Katsumata , Tomohiro Harada

We study the precession caused by electromagnetic radiation on a magnetic dipole located far from the source. As we show, this entails a net rotation of the dipole in the plane orthogonal to the direction of wave propagation, providing an…

High Energy Physics - Theory · Physics 2024-02-01 Blagoje Oblak , Ali Seraj

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

We consider the periapsis shifts of bound orbits of stars on static clouds around a black hole. The background spacetime is constructed from a Schwarzschild black hole surrounded by a static and spherically symmetric self-gravitating system…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Takahisa Igata , Tomohiro Harada , Hiromi Saida , Yohsuke Takamori

At the second post-Newtonian (2PN) order, the secular pericentre precession $\dot\omega^\mathrm{2PN}$ of either a full two-body system made of well detached non-rotating monopole masses of comparable size and a restricted two-body system…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Lorenzo Iorio

We study non-geodesic corrections to the quasicircular motion of charged test particles in the field of magnetized slowly rotating neutron stars. The gravitational field is approximated by the Lense-Thirring geometry, the magnetic field is…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Pavel Bakala , Martin Urbanec , Eva Sramkova , Zdenek Stuchlik , Gabriel Torok

We report results from calculations investigating stationary magnetic field configurations in accretion discs around magnetised neutron stars. Our strategy is to start with a very simple model and then progressively improve it providing…

Solar and Stellar Astrophysics · Physics 2014-11-20 L. Naso , J. C. Miller

Most studies of the pulsar magnetosphere have assumed a pure magnetic dipole in flat spacetime. However, recent work suggests that the effects of general relativity are in fact of vital importance and that realistic pulsar magnetic fields…

High Energy Astrophysical Phenomena · Physics 2016-12-21 Samuel E. Gralla , Alexandru Lupsasca , Alexander Philippov

We use the perturbative method to study the influence of the magnetic field on the weak deflection angle of charged signals in magnetized stationary and axisymmetric spacetimes within general electromagnetic potentials. The deflection angle…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Qianchuan Wang , Junji Jia

The motion of charged particles under the Lorentz force in the magnetosphere of neutron stars, represented by a dipole field in the Schwarzschild spacetime, can be determined by an effective potential, whose local extrema govern circular…

High Energy Astrophysical Phenomena · Physics 2024-12-09 Zdeněk Stuchlík , Jaroslav Vrba , Martin Kološ , Arman Tursunov

The problem of spin precession in a time-dependent magnetic field is considered in the adiabatic approximation where the field direction or the angular velocity of its rotation is changing slowly. The precession angles are given by…

Quantum Physics · Physics 2016-09-08 M. S. Marinov , Eugene Strahov

The new derivation of the equation of the spin precession is given for a particle possessing electric and magnetic dipole moments. Contributions from classical electrodynamics and from the Thomas effect are explicitly separated. A fully…

High Energy Physics - Phenomenology · Physics 2016-08-12 Alexander J. Silenko

In the present paper, we have investigated the motion of charged particles together with magnetic dipoles to determine how well the spacetime deviation parameter $\epsilon$ and external uniform magnetic field can mimic the spin of a…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Bakhtiyor Narzilloev , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Cosimo Bambi

Giant planets that reside in close proximity to their host stars are subject to extreme irradiation, which gives rise to thermal ionization of trace Alkali metals in their atmospheres. On objects where the atmospheric electrical…

Earth and Planetary Astrophysics · Physics 2015-06-22 Konstantin Batygin , Sabine Stanley

We investigate the motion of charged particles evolving around a magnetized Kiselev black hole, in the weak magnetic field approximation. The effective potential allows us to study the bound motion and the stable circular orbits. We analyze…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Marina-Aura Dariescu , Vitalie Lungu
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