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The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

The exterior gravitational fields of the massive Schwarzschild, Kerr and NUT particles have an algebraic type {\bfseries D} according to Petrov's algebraic classification of the gravitational fields. A lightlike limit is input for these…

General Relativity and Quantum Cosmology · Physics 2011-05-24 Alexandre M. Baranov

In this study the tachyon-like Dirac equation, formulated by Chodos to describe superluminal neutrino, is solved. The analytical solutions are Gaussian wave packets obtained using the envelope method. It is shown that the superluminal…

General Physics · Physics 2020-07-08 Luca Nanni

This thesis contributes to the field of gravitational lensing (GL) and observational cosmology. We discuss the use of gravitational lensing as a tool in search of exotic objects in the Universe. In the next chapter the concordance of an…

Astrophysics · Physics 2010-02-18 Margarita Safonova

We examine the motion of a photon in the gravitational field of a binary system. The equations of motion are geodesic equations in a Schwarzchild background with a tidal force. We specialize the equations to that of an edge-on binary and…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nahid Ahmadi , Zainab Sedaghatmanesh

Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments…

Astrophysics · Physics 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

We present recent developments on numerical algorithms for computing photon and particle trajectories in the surrounding of compact objects. Strong gravity around neutron stars or black holes causes relativistic effects on the motion of…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Fabio Bacchini , Bart Ripperda , Lorenzo Sironi

In this paper we address a $n+1$-body gravitational problem governed by the Newton's laws, where $n$ primary bodies orbit on a plane $\Pi$ and an additional massless particle moves on the perpendicular line to $\Pi$ passing through the…

Mathematical Physics · Physics 2017-10-10 Gastón Beltritti , Fernando Mazzone , Martina Oviedo

The light-trajectory in the gravitational field of N extended bodies in arbitrary motion is determined in the first post-Newtonian approximation. According to the theory of reference systems, the gravitational fields of these massive bodies…

Instrumentation and Methods for Astrophysics · Physics 2017-07-25 Sven Zschocke

We present Lagrangian which implies both necessary constraints and dynamical equations for position and spin of relativistic spin one-half particle. The model is consistent for any value of magnetic moment $\mu$ and for arbitrary…

High Energy Physics - Theory · Physics 2014-06-27 Alexei A. Deriglazov , Andrey M. Pupasov-Maksimov

We further generalize the powerful method, which we have recently developed for description of the background matter influence on neutrinos, for the case of an electron moving in matter. On the basis of the modified Dirac equation for the…

High Energy Physics - Phenomenology · Physics 2016-12-07 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle's trajectory in ultra-relativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Alexei A. Deriglazov , Walberto Guzmán Ramírez

Aiming at non-experts, we explain the key mechanisms of higher-spin extensions of ordinary gravity. We first overview various no-go theorems for low-energy scattering of massless particles in flat spacetime. In doing so we dress a…

High Energy Physics - Theory · Physics 2015-05-19 Xavier Bekaert , Nicolas Boulanger , Per Sundell

We study the evolution of neutrinos in a background matter moving with a linear acceleration. The Dirac equation for a massive neutrino electroweakly interacting with background fermions is obtained in a comoving frame where matter is at…

High Energy Physics - Phenomenology · Physics 2015-09-03 Maxim Dvornikov

In this paper, we consider the apparent superluminal speed of neutrinos in their travel from CERN to Gran Susso, as measured by the OPERA experiment, within the framework of the Extended Lorentz Transformation Model. The model is based on a…

General Physics · Physics 2012-02-28 S. Hamieh

We consider a problem of electron motion in different media and magnetic field. It is shown that in case of nonmoving medium and constant homogenious magnetic field the electron energies are quantized. We also discuss the general problem of…

High Energy Physics - Phenomenology · Physics 2011-05-23 I. Balantsev , Yu. Popov , A. Studenikin

Last year physicists in Europe have measured the velocity of the neutrinos particles. They found the neutrinos moving faster than the speed of light in vacuum. This result means that Einstein's relativity principle and its consequences in…

General Physics · Physics 2012-02-09 Pavel Mednis

The response of the ultrarelativistic particle with spin in a Schwarzschild field to the gravitomagnetic components as measured by the comoving observer is investigated. The dependence of the particle's spin-orbit acceleration on the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Roman Plyatsko , Oleksa Bilaniuk

Some recent experiments, performed at Berkeley, Cologne, Florence and Vienna led to the claim that something seems to travel with a speed larger than the speed c of light in vacuum. Various other experimental results seem to point in the…

Classical Physics · Physics 2010-02-01 Erasmo Recami

The classical motion of spinning particles can be described without employing Grassmann variables or Clifford algebras, but simply by generalizing the usual spinless theory. We only assume the invariance with respect to the Poincare' group;…

Quantum Physics · Physics 2008-11-26 Giovanni Salesi
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