Capobianco, R;
Hartmann, B;
Kunz, J;
(2024)
Motion of charged particles in an electromagnetic swirling universe: The complete set of solutions.
Physical Review D
, 110
(8)
, Article 084078. 10.1103/PhysRevD.110.084078.
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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.
| Type: | Article |
|---|---|
| Title: | Motion of charged particles in an electromagnetic swirling universe: The complete set of solutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevD.110.084078 |
| Publisher version: | http://dx.doi.org/10.1103/physrevd.110.084078 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10200832 |
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