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MOTION OF CHARGED PARTICLES ON THE REISSNER–NORDSTRÖM (ANTI)-DE SITTER BLACK HOLE SPACETIME

MARCO OLIVARESInstituto de Física, Pontificia Universidad de Católica de Valparaíso, Av. Universidad 330, Curauma, Valparaíso, ChileJOEL SAAVEDRAInstituto de Física, Pontificia Universidad de Católica de Valparaíso, Av. Universidad 330, Curauma, Valparaíso, ChileCARLOS LEIVADepartamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Av. General Velásquez 1775, Arica, ChileJOSÉ R. VILLANUEVADepartamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Av. General Velásquez 1775, Arica, Chile
2011en
ABI

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We study the motion of relativistic, electrically charged point particles in the background of charged black holes with nontrivial asymptotic behavior. We compute the exact trajectories of massive particles and express them in terms of elliptic Jacobi functions. As a result, we obtain a detailed description of particles orbits in the gravitational field of Reissner–Nordström (anti)-de Sitter black hole, depending of their charge, mass and energy.

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