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We write the Mathisson-Papapetrou equations of motion for a spinning particle in a stationary spacetime using the quasi-Maxwell formalism and give an interpretation of the coupling between spin and curvature. The formalism is then used to…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Jose Natario

We consider for j=1/2, 3/2,... a spherically symmetric, static system of (2j+1) Dirac particles, each having total angular momentum j. The Dirac particles interact via a classical gravitational and electromagnetic field. The…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Felix Finster , Joel Smoller , Shing-Tung Yau

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

We determine the stellar, planetary, and orbital properties of the transiting planetary system HD 209458, through a joint analysis of high-precision radial velocities, photometry, and timing of the secondary eclipse. Of primary interest is…

The general motion of spinning test particles to the leading order approximation of spin in the brane-world spacetime is investigated. Analytical integrations for the equations of motion and linear shifts in orbital frequency are obtained.…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Yunlong Liu , Xiangdong Zhang

Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence…

High Energy Physics - Theory · Physics 2016-07-19 D. V. Uvarov

Massive spin 1/2 particles require 2-spinors for rotations, 4-spinors for rotations and boosts with parity. Including translations requires 8-spinors. Adapting 4-spinor field theory to 8-spinor fields with translation symmetry is discussed…

High Energy Physics - Theory · Physics 2015-06-05 Richard Shurtleff

A single Dirac particle is bound in d dimensions by vector V(r) and scalar S(r) central potentials. The spin-symmetric S=V and pseudo-spin-symmetric S = - V cases are studied and it is shown that if two such potentials are ordered V^{(1)}…

Mathematical Physics · Physics 2010-04-30 Richard L. Hall , Ozlem Yesiltas

We extend our previous work devoted to the computation of the next-to-next-to-leading order spin-orbit correction (corresponding to 3.5PN order) in the equations of motion of spinning compact binaries, by: (i) Deriving the corresponding…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Alejandro Bohé , Sylvain Marsat , Guillaume Faye , Luc Blanchet

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

The motion of a particle with a spin in spherical harmonic oscillator potential with spin-orbit interaction is studied. We have focus our attention on spatial motion of wave packets, giving a description complementary to motion of spin…

Quantum Physics · Physics 2009-10-28 P. Rozmej , R. Arvieu

The dynamics of extended spinning bodies in the Kerr spacetime is investigated in the pole-dipole particle approximation and under the assumption that the spin-curvature force only slightly deviates the particle from a geodesic path. The…

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

Exact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a non-static conformal symmetry. In this paper, we verify that in the case of the conformally symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

The dynamics of a test particle in a non-spinning binary black hole system of equal masses is numerically investigated. The binary system is modeled in the context of the pseudo-Newtonian circular restricted three-body problem, such that…

Astrophysics of Galaxies · Physics 2018-08-02 Euaggelos E. Zotos , Fredy L. Dubeibe , Guillermo A. González

First, the ideas introduced in the wormhole research field since the work of Morris and Thorne are briefly reviewed, namely, the issues of energy conditions, wormhole construction, stability, time machines and astrophysical signatures.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose' P. S. Lemos , Francisco S. N. Lobo , Sergio Quinet de Oliveira

The motion of spinning test particles in general relativity is described by Mathisson-Papapetrou-Dixon equations, which are undetermined up to a spin supplementary condition, the latter being today still an open question. The…

General Relativity and Quantum Cosmology · Physics 2012-08-07 L. Filipe O. Costa , José Natário , Miguel Zilhão

Using the exact solution that describes multi-centered rotating black holes, recently discovered by Teo and Wan, we investigate the innermost stable circular orbit (ISCO) for massive particles and the circular orbit for massless particles…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Eiki Kagohashi , Ryotaku Suzuki , Shinya Tomizawa

The influence of an arbitrary spin orientation on the quadrupolar structure of an extended body moving in a Schwarzschild spacetime is investigated. The body dynamics is described by the Mathisson-Papapetrou-Dixon model, without any…

General Relativity and Quantum Cosmology · Physics 2015-09-17 Donato Bini , Andrea Geralico

We investigate timelike geodesics around Damour-Solodukhin wormholes, which are Schwarzschild-like geometries characterized by a deformation parameter $\lambda$ that determines the radius of the throat, $r_{\rm th}$. The radial potential…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Shao-Chen Ho , Yo-Chung Ko , Tien Hsieh , Da-Shin Lee

According to General Relativity, astrophysical black holes are described by a small number of parameters. Apart from the mass of the black hole (M), among the most interesting characteristics is the spin (a), which determines the degree of…

High Energy Astrophysical Phenomena · Physics 2024-05-14 Ondřej Kopáček , Vladimír Karas