Off-equatorial circular orbits in the Kerr-Newman space-time

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Charged Particles, Circular Orbits, Orbital Mechanics, Particle Motion, Relativity, Space-Time Functions, Astrophysics, Electromagnetic Interactions, Equatorial Orbits, Gravitational Effects, Relativistic Particles

Scientific paper

Consideration is given to the possibility of the existence of off-equatorial circular geodesics in the Kerr-Newman space-time. A Newtonian analog of the Kerr-Newman metric is examined in which static gravitational, electrical and magnetic fields are present, and it is shown that in such a model orbits with both radius and latitude constant are possible for charged particles, although motions with only radius constant are not allowed. The general relativistic case of a charged test particle in the Kerr-Newman space-time is then analyzed, and conditions for the existence of circular orbits with constant nonequatorial latitude are derived. The result that these orbits seem to be possible only for particles with the same charge as the metric source is noted to be potentially important for the construction of a fluid source for the metric.

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