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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

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

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

The circular motion of spinning massive test particles in the equatorial plane of a rotating black hole is investigated in the case in which the components of the spin tensor are allowed to vary along the orbit.

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico , Robert T. Jantzen

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

Spin of a test particle is a fundamental property that can affect its motion in a gravitational field. In this work we consider the effect of particle spin on its deflection angle and gravitational lensing in the equatorial plane of…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Zhuoming Zhang , Gaofeng Fan , Junji Jia

In this paper we study the orbits of massive bodies moving in the spacetime generated by a spherically symmetric and non-rotating distribution of mass. More specifically, our treatment discusses the more accurate calculation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andreas Stergiou

The deviation of the path of a spinning particle from a circular geodesic in the Schwarzschild spacetime is studied by an extension of the idea of geodesic deviation. Within the Mathisson-Papapetrou-Dixon model and assuming the spin…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

Recent observations have demonstrated that some subset of even moderately wide-separation planet-hosting binaries are preferentially configured such that planetary and binary orbits appear to lie within the same plane. In this work, we…

Earth and Planetary Astrophysics · Physics 2024-07-04 Konstantin Gerbig , Malena Rice , J. J. Zanazzi , Sam Christian , Andrew Vanderburg

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 review the derivation of the metric for a spinning body of any shape and composition using linearized general relativity theory, and also obtain the same metric using a transformation argument. The latter derivation makes it clear that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. J. Adler , A. S. Silbergleit

We study the behavior of nonzero rest mass spinning test particles moving along circular orbits in the Schwarzschild spacetime in the case in which the components of the spin tensor are allowed to vary along the orbit, generalizing some…

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

The recent discovery of a double-pulsar PSR J0737-3039A/B provides an opportunity of unequivocally observing, for the first time, spin effects in general relativity. Existing efforts involve detection of the precession of the spinning body…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. F. O'Connell

We recently studied spin precession in various stationary and axisymmetric spacetimes and applied it to the case of neutrinos propagating in those spacetimes. In this paper, the study of spin precession is extended to the case of a spinning…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Reza Saadati , Fayçal Hammad

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Donato Bini , Thibault Damour

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Hamid Reza Sepangi

In relativistic gravity, a spinning pulsar will precess as it orbits a compact companion star. We have measured the effect of such precession on the average shape and polarization of the radiation from PSR B1534+12. We have also detected,…

Astrophysics · Physics 2009-11-10 I. H. Stairs , S. E. Thorsett , Z. Arzoumanian

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 N\'eel order of an antiferromagnet subject to a spin torque can undergo precession in a circular orbit about any chosen axis. To orient and stabilize the motion against the effects of magnetic anisotropy, the spin polarization should…

Applied Physics · Physics 2021-02-03 Arun Parthasarathy , Egecan Cogulu , Andrew D. Kent , Shaloo Rakheja
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