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Motion of charged particles in an electromagnetic swirling universe: The complete set of solutions

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arxiv 2407.03702 v1 pith:455FXKFJ submitted 2024-07-04 gr-qc

classification gr-qc
keywords motionparticleschargedelectromagneticdirectiondiscussequationsexistence
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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.

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Cited by 1 Pith paper

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  1. Thin accretion disk around a Kerr black hole immersed in swirling universes

    gr-qc 2025-04 conditional novelty 6.0 of 10

    Swirling-Kerr disks heat up in the inner region, dim in the outer region, shift their spectrum, and convert mass to radiation less efficiently as the swirl parameter grows.

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