Publication date: Apr 2017
Abstract:
We construct regular rotating black hole and no-horizon spacetimes based
on the recently introduced spherically symmetric generic regular black
hole spacetimes related to electric or magnetic charge under nonlinear
electrodynamics coupled to general relativity that for special values of
the spacetime parameters reduce to the Bardeen and Hayward spacetimes.
We show that the weak and strong energy conditions are violated inside
the Cauchy horizons of these generic rotating black holes. We give the
boundary between the rotating black hole and no-horizon spacetimes and
determine the black hole horizons and the boundary of the ergosphere. We
introduce the separated Carter equations for the geodesic motion in
these rotating spacetimes. For the most interesting new class of the
regular spacetimes, corresponding for magnetic charges to the Maxwell
field in the weak field limit of the nonlinear electrodynamics, we
determine the structure of the circular geodesics and discuss their
properties. We study the epicyclic motion of a neutral particle moving
along the stable circular orbits around the „Maxwellian“ rotating
regular black holes. We show that epicyclic frequencies measured by the
distant observers and related to the oscillatory motion of the neutral
test particle along the stable circular orbits around the rotating
singular and regular Maxwellian black holes are always smaller than ones
in the Kerr spacetime.
Authors:
Toshmatov, Bobir; Stuchlík, Zdeněk; Ahmedov, Bobomurat;