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Summary: ANALYSING CURVED SPACETIMES WITH TENSOR SPLATS
WERNER BENGER+
HANS-CHRISTIAN HEGE
Zuse Institute Berlin, Takustrasse 7, D-14195 Berlin-Dahlem
E-mail: benger@zib.de, hege@zib.de
+
Max-Planck-Institute for Gravitational Physics (Albert-Einstein-Institute),
Auf dem Muehlenberg 1, D-14467 Golm
E-mail: Werner.Benger@aei.mpg.de
A new visualization technique for visualizing three-dimensional symmetric positive
definite tensor fields of rank two is described. It supports studying the spatial
projection of a spacetime metric. The rendering technique is demonstrated upon
the Schwarzschild metric of a static black hole, the Kerr metric of a rotating
black hole in two different coordinate systems, and a numerically computed dataset
describing the metric of two colliding black holes.
1 Introduction and Motivation
Solutions of the Einstein equations are usually treated in a purely abstract math-
ematical way, i.e. as algebraic expressions. Determination of certain spacetime
properties requires further calculation, for instance the computation of geodesic
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