Publication date: n/a 2006
Abstract:
Forces defined in the framework of optical reference geometry are
introduced in the case of stationary and axially symmetric Kerr black
hole and naked-singularity space-times with a repulsive cosmological
constant. Properties of the forces acting on test particles moving along
circular orbits in the equatorial plane are discussed, whereas it is
shown where the gravitational force vanishes and changes its orientation
and where the centrifugal force vanishes and changes its orientation
independently of the velocity of test particles related to the optical
geometry; the Coriolis force does not vanish for the velocity being
nonzero. The space-times are classified according to the number of
circular orbits where the gravitational and centrifugal forces vanish.
Authors:
Kovář, Jiří; Stuchlík, Zdeněk;