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In astronomy, gravitational lensing of light leads to the formation of multiple images, arcs, Einstein rings, and, most important, the shadow of black holes. Analogously in the vicinity of a massive compact object massive particles,…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Torben C. Frost

In this work, we derive novel constraints on scalar-tensor theories from neutrino physics. Spatial variations of the background scalar field effectively generate density and position-dependent Standard Model masses, including neutrinos.…

High Energy Physics - Phenomenology · Physics 2025-12-17 Arturo de Giorgi , Ivan Martinez Soler , Sergio Sevillano Muñoz

A novel method for calculation of the motion and radiation reaction for the two-body problem (body plus particle, the small parameter m/M being the ratio of the masses) is presented. In the background curvature given by the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alessandro D. A. M. Spallicci

We present a simple method to derive the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particles (pole-dipole particles), as well as particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Leclerc

We report on the explicit form of the equations of motion of pole-dipole particles for a very large class of gravitational theories. The non-Riemannian framework in which the equations are derived allows for a unified description of nearly…

General Relativity and Quantum Cosmology · Physics 2010-01-18 Dirk Puetzfeld

We give a straightforward and divergence free derivation of the equation of motion for a small but finite object in an arbitrary background using strong field point particle limit. The resulting equation becomes a generalized geodesic for a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takashi Fukumoto , Toshifumi Futamase , Yousuke Itoh

The possibility is discussed of superluminal motion of non-tachyonic (i.e. moving with the instantaneous speed v<c) bodies within general relativity. It is shown that in some occasions quantum field theory apparently prohibits such motion,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Krasnikov

The apparent Lorentz invariance of the laws of physics does not imply that space-time is indeed minkowskian. We consider a scenario where Lorentz invariance is only an approximate property of equations of matter above a certain distance…

Astrophysics · Physics 2008-02-03 Luis Gonzalez-Mestres

Within an axiomatic framework of kinematics, we prove that the existence of faster than light particles is logically independent of Einstein's special theory of relativity. Consequently, it is consistent with the kinematics of special…

General Physics · Physics 2015-03-20 Gergely Székely

The Spin Light of neutrino ($SL\nu$) is an electromagnetic radiation of the neutrino magnetic moment emitted when neutrino moves in external conditions (fields or matter). The effect can be of significance in the extremely dense matter of…

High Energy Physics - Phenomenology · Physics 2026-02-09 Alexander Grigoriev , Alexei Ternov

According to special relativity and the equivalence principle, the Newtonian gravitational force between two particles with relativistic velocities increases significantly with velocity and in fact becomes unbound as the latter approaches…

General Physics · Physics 2011-01-26 Constantinos G. Vayenas , Stamatios Souentie

Taking into account only luminous objects, the kinematics of clusters of galaxies, galaxies and their interior, require a much higher mass than the luminous one to explain the observations. This situation has provoked more than 30 years of…

General Physics · Physics 2008-01-28 Antonio Alfonso-Faus

We derive the equation of motion for the relativistic compact binaries in the post-Newtonian approximation taking explicitly their strong internal gravity into account. For this purpose we adopt the method of the point particle limit where…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Yousuke Itoh , Toshifumi Futamase , Hideki Asada

The Mathisson-Papapetrou-Dixon equations for a massive spinning test particle in plane gravitational waves are analysed and explicit solutions constructed in terms of solutions of certain linear ordinary differential equations. For harmonic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M Mohseni , Robin W Tucker , Charles Wang

It is known that dynamical solutions of the $k$-essence equation of motion change the metric for the perturbations around these solutions and the perturbations propagate in an emergent spacetime with metric $\tilde G^{\mu\nu}$ different…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Debashis Gangopadhyay , Goutam Manna , Sourav Sen Choudhury

Some particle candidates for dark matter are reviewed in the light of recent experimental and theoretical developments. Models for massive neutrinos are discussed in the light of the recent atmospheric-neutrino data, and used to motivate…

Astrophysics · Physics 2009-09-11 John Ellis

A new path equation in absolute parallelism (AP) geometry is derived. The equation is a generalization of three path equations derived in a previous work. It can be considered as a geodesic equation modified by a torsion term, whose…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. I. Wanas

Non-universal boundary conditions in grand unified theories can lead to non-universal gaugino masses at the unification scale. In R-parity preserving theories the lightest supersymmetric particle is a natural candidate for the dark matter.…

High Energy Physics - Phenomenology · Physics 2009-09-29 Katri Huitu , Jari Laamanen , Sourov Roy

By using the relativistic top theory, we derive a relativistic top deviation equation. This equation turns out to be a generalization of the geodesic deviation equation for a pair of nearby point particles. In fact, we show that when the…

High Energy Physics - Theory · Physics 2010-04-05 J. A. Nieto , J. Saucedo , V. M. Villanueva

On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made. The motion of a body with vertical spin…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. B. Karpov