Open AccessMotion of charged particles around a rotating black hole in a magnetic field
Author(s) -
Aliev A. N.,
Özdemir N.
Publication year - 2002
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2002.05727.x
Subject(s) - physics , rotating black hole , event horizon , schwarzschild radius , classical mechanics , black hole (networking) , magnetic field , spin flip , schwarzschild metric , kerr metric , circular orbit , charged black hole , extremal black hole , quantum electrodynamics , angular momentum , quantum mechanics , gravitation , general relativity , entropy (arrow of time) , scattering , event (particle physics) , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field has its greatest effect in enlarging the region of stability towards the event horizon of the black hole. Using the Hamilton–Jacobi formalism we obtain the basic equations governing the marginal stability of the circular orbits and their associated energies and angular momenta. As instructive examples, we review the case of the marginal stability of the circular orbits in the Kerr metric, as well as around a Schwarzschild black hole in a magnetic field. For large enough values of the magnetic field around a maximally rotating black hole we find the limiting analytical solutions to the equations governing the radii of marginal stability. We also show that the presence of a strong magnetic field provides the possibility of relativistic motions in both direct and retrograde innermost stable circular orbits around a Kerr black hole.