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Institut für Visualisierung und Interaktive Systeme

Thomas Müller

 

Motion4D - A library for lightrays and timelike worldlines in the theory of relativity


Thomas Müller, Frank Grave

The Motion4D-library solves the geodesic equation as well as the parallel- and Fermi-Walker-transport in four-dimensional spacetimes numerically. Initial conditions are given with respect to natural local tetrads which are adapted to the symmetries or the coordinates of the spacetime. Beside some already implemented metrics like the Schwarzschild and Kerr metric, the object oriented structure of the library permits to implement other metrics or integrators in a straight forward manner.

   The Motion4D-library     
The current version of the Motion4D-library can be downloaded from the Computer Physics Communications Program Library.
Catalogue Identifier: AEEX_v1_0

The code documentation generated by doxygen can be found here.

Implemented metrics:
  • Minkowski
  • Schwarzschild
  • Eddington-Finkelstein
  • Reissner-Nordstrøm
  • Kerr (Boyer-Lindquist form)
  • Morris-Thorne wormhole
  • Barriola-Vilenkin monopol
  • Gödel
  • Kottler (Schwarzschild-deSitter)
   Test programs     
Please read the README.test file for how to use the example files.
The expected results are:
   Links     
  • T. Müller, F. Grave
    Motion4D - A library for lightrays and timelike worldlines in the theory of relativity
    Computer Physics Communications 180, 2355-2360 (2009)
    DOI: 10.1016/j.cpc.2009.07.014
   Contact     
Visualisierungsinstitut der Universität Stuttgart (VISUS)
Nobelstrasse 15
70569 Stuttgart, Germany
Email: Thomas.Muellervis.uni-stuttgart.de

1. Institut für Theoretische Physik, Universität Stuttgart
Pfaffenwaldring 57 // IV
70550 Stuttgart, Germany
Email: Frank.Gravevis.uni-stuttgart.de