Publication date: Apr 1999
Abstract:
The differences between the character of the Schwarzschild and Ernst
spacetimes are illustrated by comparing the photon capture cones, and
the embedding diagrams of the 0264-9381/16/4/026/img1 sections of the
equatorial planes of both the ordinary and optical reference geometry of
these spacetimes. The non-flat asymptotic character of the Ernst
spacetime reflects itself in two manifest facts: the escape photon cones
correspond to a purely outward radial direction, and the embedding
diagrams of both the ordinary and optical geometry shrink to zero radius
asymptotically. Using the properties of the embedding diagrams, regions
of these spacetimes which could have similar character are estimated,
and it is argued that they can exist for the Ernst spacetimes with a
sufficiently low strength of the magnetic field.
Authors:
Stuchlík, Z.; Hledík, S.;