Photon capture cones and embedding diagrams of the Ernst spacetime
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 02649381/16/4/026/img1 sections of the equatorial planes of both the ordinary and optical reference geometry of these spacetimes. The nonflat 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.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 1999
 DOI:
 10.1088/02649381/16/4/026
 arXiv:
 arXiv:0803.2536
 Bibcode:
 1999CQGra..16.1377S
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 12 pages, 7 figures