Motion of charged particles around a magnetized/electrified black hole

Abstract

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular orbits in various configurations are considered, as well as their perturbations and stability. We find that the electric field strength must be below a certain charge-dependent critical value for these orbits to be stable. The case of the magnetic Ernst metric contains a limit which reduces to the Melvin magnetic universe. In this case the equations of motion are solved to reveal cycloidlike or trochoidlike motion, similar to those found by Frolov and Shoom around black holes immersed in test magnetic fields.

28 pages, 12 figures

References in corpus (5)

• A Periodic Table for Black Hole Orbits
• Motion of charged particles near weakly magnetized Schwarzschild black hole
• Superradiant instability of black holes immersed in a magnetic field
• Photon capture cones and embedding diagrams of the Ernst spacetime
• Geodesic motion in the vacuum C-metric

Cited by in corpus (12)

• Shadows and lensing of black holes immersed in strong magnetic fields
• Circular orbits and polarized images of charged particles orbiting Kerr black hole with a weak magnetic field
• Gravitational Rutherford scattering of electrically charged particles from a charged Weyl black hole
• Dynamics of charged particles moving around Kerr black hole with inductive charge and external magnetic field
• Thermodynamics of Non-linear magnetic-charged AdS black hole surrounded by quintessence, in the background of perfect fluid dark matter
• Redshift of light emitted by particles orbiting a black hole immersed in a strong magnetic field
• Corrected thermodynamics of nonlinear magnetic-charged black hole surrounded by perfect fluid dark matter
• Hypocycloid motion in the Melvin magnetic universe
• Perihelion advance and trajectory of charged test particles in Reissner-Nordstrom field via the higher-order geodesic deviations
• Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua
• Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric
• Geodesic structure of a noncommutative black hole