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Gravitomagnetic effects originates from the rotation of the source of the gravitational field and from the rotational features of the observers' frame. In recent years, gravitomagnetism has been tested by means of its impact on the…

General Relativity and Quantum Cosmology · Physics 2013-12-06 Matteo Luca Ruggiero

The gravitomagnetic corrections to the Keplerian period for a circular, geodesic orbit of a test particle in a polar plane containing the proper angular momentum J of a central rotating body are considered.

General Relativity and Quantum Cosmology · Physics 2011-04-12 Lorenzo Iorio

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

The gravitomagnetic field is the force exerted by a moving body on the basis of the intriguing interplay between geometry and dynamics which is the analog to the magnetic field of a moving charged body in electromagnetism. The existence of…

General Relativity and Quantum Cosmology · Physics 2016-09-16 Behrooz Malekolkalami , Mehrdad Farhoudi

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

Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Kopeikin , Bahram Mashhoon

We study the effects of a time-varying gravitomagnetic field on the motion of test particles. Starting from recent results, we consider the gravitomagnetic field of a source whose spin angular momentum has a linearly time-varying magnitude.…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Matteo Luca Ruggiero , Lorenzo Iorio

Newtonian gravity and special relativity combine to produce a gravitomagnetic precession of an orbiting gyroscope that is one fourth as large as predicted by General Relativity. The geodetic effect is the same in both cases.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stanley L. Robertson

We consider bound geodesic orbits of test masses in the exterior gravitational field of a rotating astronomical source whose proper angular momentum varies linearly with time. The linear perturbation approach of Lense and Thirring is herein…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Chicone , B. Mashhoon

The general relativistic gravitomagnetic clock effect involves a coupling between the orbital motion of a test particle and the rotation of the central mass and results in a difference in the proper periods of two counter-revolving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Herbert I. M. Lichtenegger , Lorenzo Iorio , Bahram Mashhoon

We survey theoretical and experimental/observational results on general-relativistic spin (rotation) effects in binary systems. A detailed discussion is given of the two-body Kepler problem and its first post-Newtonian generalization,…

General Relativity and Quantum Cosmology · Physics 2009-09-21 R. F. O'Connell

The main theoretical aspects of gravitomagnetism are reviewed. It is shown that the gravitomagnetic precession of a gyroscope is intimately connected with the special temporal structure around a rotating mass that is revealed by the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 B. Mashhoon , F. Gronwald , H. I. M. Lichtenegger

Gravito-electromagnetism is somewhat ubiquitous in relativity. In fact, there are many situations where the effects of gravitation can be described by formally introducing "gravito-electric" and "gravito-magnetic" fields, starting from the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matteo Luca Ruggiero

A gravitational field can cause a rotation of the polarisation plane of light. This phenomenon is known as the gravitational Faraday effect. It arises due to different spin-orbit interaction of left- and right-handed circularly polarised…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Andrey A. Shoom

In this paper we look at the gravitational spin--spin interaction between macroscopic astronomical bodies. In particular, we calculate their post--Newtonian orbital effects of order $\mathcal{O}(c^{-2})$ on the trajectory of a spinning…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

General relativity predicts that two freely counter-revolving test particles in the exterior field of a central rotating mass take different periods of time to complete the same full orbit; this time difference leads to the gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Bahram Mashhoon , Lorenzo Iorio , Herbert Lichtenegger

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

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Matteo Luca Ruggiero

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Donato Bini , Lorenzo Iorio , Domenico Giordano

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli