Photon capture cones and embedding diagrams of the Ernst spacetime

Details Photon capture cones and embedding diagrams of the Ernst spacetime Photon capture cones and embedding diagrams of the Ernst spacetime

2008-03-17

arxiv.org/abs/0803.2536v1

Class.Quant.Grav.16:1377-1387,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 7 figures

Scientific paper

10.1088/0264-9381/16/4/026

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 $t=\mathrm{const}$ 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 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.

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