A static black hole in asymptotically flat spacetime (Λ=0) is described by Schwarzschild or Reissner-Nordström metric.
Three-dimensional diagrams on the following pages represent a causal structure of the spacetime outside of the black holes. Angular coordinate φ around the axis of the rotational symetry is suppressed.
The boundary of the diagrams corresponds to the conformal infinity. The outer horizon of the black hole is indicated by a dark surface.
In one set of diagrams, the black hole horizon is depicted by two joined cone-like surfaces. It reflects the null character of the horizon with its null generators running from the neck of the horizon to the infinity. An alternative set of diagrams represents the horizon by two joined drop-like surfaces. It suggests that the black hole is a localized object. This representation is more useful in a limit of a negligible mass when the black hole turns to a test particle.
Standard radial two-dimensional conformal diagrams and their embeding into the whole spacetime are also shown.
|black hole visualized with cone-like horizon||black hole visualized with drop-like horizon|
Interactive diagrams needs a browser supporting Java applets. It uses LiveGraphics3D by Martin Kraus. It can take some time to download and to initiate these diagrams.
© 2005-12-31; Pavel Krtouš <Pavel.Krtous@mff.cuni.cz>