Energetics of a Kerr blackhole in electromagnetic fields role of the relative angular velocity of charged particles

Abstract

The authors consider a rotating black hole in an external dipole magnetic field. By defining the relative angular velocity parameter Ω they analyse the various contributions due to electromagnetic fields and rotation to the effective potential. It turns out that the magnetic field contribution is in general related to Ω . An interesting case of prescribing the orbit for a locally nonrotating observer (LNRO) by a particle of appropriate charge and angular momentum parameters is considered. For such an orbit Ω = 0, stationarity is built in and is ensured by the Lorentz force in contrast to the usual LNRO orbit where it has to be maintained by externally providing proper outward radial acceleration.