Publication date: Feb 2007
Abstract:
Optical reference geometry and the related concept of inertial forces
are investigated in Kerr de Sitter spacetimes. Properties of the
inertial forces are summarized and their typical behaviour is
illustrated. The intuitive ‚Newtonian‘ application of the forces in the
relativistic dynamics is demonstrated in the case of the test particle
circular motion, static equilibrium positions and perfect fluid toroidal
configurations. Features of the optical geometry are illustrated by the
embedding diagrams of its equatorial plane. The embedding diagrams do
not wholly cover the stationary regions of the spacetimes, therefore the
limits of embeddability are established. The shape of the embedding
diagrams is related to the behaviour of the centrifugal force and it is
characterized by the number of turning points of the diagrams.
Discussion of the number of embeddable photon circular orbits is also
included and the typical embedding diagrams are constructed. The Kerr de
Sitter spacetimes are classified according to the properties of the
inertial forces and embedding diagrams.
Authors:
Kovář, Jiří; Stuchlík, Zdenek;