Abstract
We study the effect of an external magnetic field on the stability of circular motion around a five dimensional Myers–Perry metric. Using the Hamilton–Jacobi formalism we derive the effective potential for the radial motion of charged particles around a five dimensional rotating black hole in a uniform magnetic field. We show that there are stable circular orbits around a five dimensional rotating black hole immersed in a uniform magnetic field.
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Kaya, R. Motion of charged particles in a spacetime of a five dimensional rotating black hole in a magnetic field. Gen Relativ Gravit 39, 211–221 (2007). https://doi.org/10.1007/s10714-006-0394-y
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DOI: https://doi.org/10.1007/s10714-006-0394-y