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>`