Charged particle motion on and off the equatorial plane of a magnetic star in Rosen's bimetric gravity

Astronomy and Astrophysics – Astrophysics

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Bimetric Theories, Charged Particles, Gravitation Theory, Magnetic Stars, Particle Motion, Particle Trajectories, Equations Of Motion, Equatorial Orbits, Stellar Magnetic Fields

Scientific paper

The authors have studied in detail (numerically) the trajectories of charged particles in a magnetic field (dipolar at infinity) associated with a static star in the framework of Rosen's bimetric theory of gravity. It was found that there do exist potential wells that allow possible trapping of particles in stable orbits both on and off the equatorial plane. A particularly interesting feature that has shown up is the fact that the characteristics of the effective potential well Veff depend on the ratio of the magnetic field strength parameter λ, and the angular momentum L of the charged particle. For values lower than a cricital (λ/L)c the potential well lies within the region r ≤ 2m.

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