(Relativistic) Material

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The Catalogue of Spacetimes is a collection of four-dimensional Lorentzian spacetimes in the context of the General Theory of Relativity (GR). The aim of the catalogue is to give a quick reference for students who need some basic facts of the most well-known spacetimes in GR. For a detailed discussion of a metric, the reader is referred to the standard literature or the original articles. Any comments, ideas of improvement, or error reports are welcome.

Preprint version: arxiv:0904.4184 [gr-qc].
Most recent version: 2014-05-21 [PDF]

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


Mathematica demonstrations

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