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Nonintegrable dynamical systems have complex structures in their phase space. Motion of a test charged particle in a dipole magnetic field can be reduced to a 2 degree-of-freedom (2 d.o.f.) nonintegrable Hamiltonian system. We carried out a…

Dynamical Systems · Mathematics 2023-02-15 Hanrui Pang , Siming Liu , Rong Liu

The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spin-curvature coupling force are elucidated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. Chicone , B. Mashhoon , B. Punsly

The launch of relativistic jets of plasma on astrophysical to cosmological scales is observed in a variety of astrophysical sources, from active galactic nuclei to X-ray binaries. While these jets can be reproduced by general relativistic…

High Energy Astrophysical Phenomena · Physics 2026-03-03 Jibril Ben Achour , Ileyk El Mellah , Eric Gourgoulhon

A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. A subclass of these solutions corresponds to the exterior gravitational fields of rotating cylindrical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon , James C. McClune , Enrique Chavez , Hernando Quevedo

Local conformal symmetry introduces the conformal curvature (Weyl tensor) that gets split into its (gravito-) electric and magnetic (tensor) parts. Newtonian tidal forces are expected from the gravitoelectric field, whereas…

General Relativity and Quantum Cosmology · Physics 2021-01-05 A. Danehkar

We show that spinors propagating in curved gravitational background acquire an interaction with spacetime curvature, which leads to a quantum mechanical geometric effect. This is similar to what happens in the case of magnetic fields, known…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Banibrata Mukhopadhyay , Tanuman Ghosh , Soumya Kanti Ganguly

The collision of test charged particles in the vicinity of an event horizon of a weakly magnetized non-rotating black hole with gravitomagnetic charge has been studied. The presence of the external magnetic field decreases the innermost…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Abdulla Kuvatov

A class of exact conformastatic solutions of the Einstein-Maxwell field equations is presented in which the gravitational and electromagnetic potentials are completely determined by a harmonic function only. The motion of test particles is…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Antonio C. Gutiérrez-Piñeres , Abraão J. S. Capistrano

We consider the acceleration of energetic particles by Fermi processes (i.e., diffusive shock acceleration, second order Fermi acceleration, and gradual shear acceleration) in relativistic astrophysical jets, with particular attention given…

Astrophysics · Physics 2008-11-26 Frank M. Rieger , Valenti Bosch-Ramon , Peter Duffy

The motion of a local source inducing small oscillations in the gravitational field is investigated and shown to exhibit pure rotational kinetic energy. Should the net affect of these slow, revolving oscillations cause large-scale rotations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Walter J. Christensen

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

We study both massive and massless particle's geodesic motion in the background of general dimensional AdS-Sol space-time. We find that the massive particles oscillate along the radial direction, while massless particles experience one-time…

High Energy Physics - Theory · Physics 2016-03-30 Han-qing Shi , Ding-fang Zeng

In this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach…

General Relativity and Quantum Cosmology · Physics 2015-07-21 Cristina Blaga

The structure of a relativistically hot, strongly magnetized jet is investigated at large distances from the source. Asymptotic equations are derived describing collimation and acceleration of the externally confined jet. Conditions are…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Yuri Lyubarsky

The dynamics of pseudo-classical spinning particles in spacetime of gravitational plane waves of general polarization and harmonic profile is studied. The resulting equations of motion are solved exactly and the results are compared with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Morteza Mohseni

The physically interesting gravitational analogue of magnetic monopole in electrodynamics is considered in the present paper. The author investigates the field equation of gravitomagnetic matter, and the exact static cylindrically symmetric…

General Relativity and Quantum Cosmology · Physics 2015-09-14 Jian-Qi Shen

We present analytic force-free solutions modeling rotating stars and black holes immersed in the magnetic field of a thin disk that terminates at an inner radius. The solutions are exact in flat spacetime and approximate in Kerr spacetime.…

General Relativity and Quantum Cosmology · Physics 2016-02-18 Samuel E. Gralla , Alexandru Lupsasca , Maria J. Rodriguez

Jets are observed in young stellar objects, X-ray sources, active galactic nuclei (AGN). The mechanisms of jet formation may be divided in regular, acting continuously for a long time, and explosive ones. Continuous mechanisms are related…

High Energy Astrophysical Phenomena · Physics 2019-05-16 G. S. Bisnovatyi-Kogan

The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Chicone , B. Mashhoon

We present a new, approximate method for modelling the acceleration and collimation of relativistic jets in the presence of gravity. This method is self-similar throughout the computational domain where gravitational effects are negligible…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Peter Polko , David L. Meier , Sera Markoff
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