Hypocycloid motion in the Melvin magnetic universe
arXiv:2004.08027 · doi:10.1103/PhysRevD.101.104031
Abstract
The trajectory of a charged test particle in the Melvin magnetic universe is shown to take the form of hypocycloids in two different regimes, first of which is the class of perturbed circular orbits, and secondly in the weak-field approximation. In the latter case we find a simple relation between the charge of the particle and the number of cusps. These two regimes are within a continuously connected family of deformed hypocycloid-like orbits parametrised by the magnetic flux strength of the Melvin spacetime.
arXiv comment18 pages, 4 figures. Typos corrected. Introduction and conclusion improved thanks to the suggestions of the anonymous referee
References in corpus (16)
- Pair Creation of Dilaton Black Holes
- Motion of charged particles near weakly magnetized Schwarzschild black hole
- Entropy in Black Hole Pair Production
- Charging axisymmetric space-times with cosmological constant
- Dynamics of a charged particle around a weakly magnetized naked singularity
- Bonnor-Melvin universe with a cosmological constant
- Motion of charged particles around a magnetized/electrified black hole
- Quantum-induced trans-Planckian energy near horizon
- Photon capture cones and embedding diagrams of the Ernst spacetime
- Mean eigenvalues for simple, simply connected, compact Lie groups
- Electric/magnetic universe with a cosmological constant
- Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole
- Orbital widening due to radiation reaction around a magnetized black hole
- Spectral line broadening in magnetized black holes
- Melvin universe as a limit of the C-metric
- Perihelion advance and trajectory of charged test particles in Reissner-Nordstrom field via the higher-order geodesic deviations