Work

Motion of charged particles in an electromagnetic swirling universe: The complete set of solutions

Year: 2024
Type: article
Abstract: We discuss the motion of electrically and magnetically charged particles in the electromagnetic swirling universe. We show that the equations of motion can be decoupled in the Hamilton-Jacobi formalism, revealing the existence of a fourth constant of motion. The equations of motion can be analytically integrated. The solutions are presented in terms of elementary and elliptic functions. In addition, we discuss the possible orbits for both uncharged particles (in which case the motion is geodesic) and charged particles, respectively. A typical orbit is bounded in the radial direction and escapes to infinity in the $z$ direction. However, the presence of the electromagnetic fields also leads to the existence of planar orbits.
Language: English
Open Access status: green
OpenAlex ID: W4403811138
FWCI: 0.763
Cites: 22
Cited by: 4
Related to: 10