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 $t=\mathrm{const}$ 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.

12 pages, 7 figures

Cited by in corpus (11)

• Image of Kerr-Melvin black hole with thin accretion disk
• Shadows and lensing of black holes immersed in strong magnetic fields
• Near-horizon description of extremal magnetised stationary black holes and Meissner effect
• Motion of charged particles around a magnetized/electrified black hole
• Optical reference geometry and inertial forces in Kerr-de Sitter spacetimes
• Optical reference geometry of the Kerr-Newman spacetimes
• Hypocycloid motion in the Melvin magnetic universe
• Forces in Kerr spacetimes with a repulsive cosmological constant
• Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric
• Charged fluids encircling compact objects: force representations and conformal geometries
• Universality in quasinormal modes of a magnetized black hole