The authors develop a software tool, named GeodesicViewer, which allows to illustrate the behavior of light-like and time-like geodesics in four-dimensional Lorentzian space-times. The visualization of each geodesic is realized either as a three-dimensional trajectory in pseudo-Cartesian coordinates by using an OpenGL environment ( or as a two-dimensional mutual-coordinate-relation diagram by using Qwt widgets ( Visualizations in several user-defined representations are also possible. The graphical user interface of the GeodesicViewer allows to modify interactively all parameters of a space-time as well as the initial conditions of the geodesics. The usability of this software tool is demonstrated by means of several examples in the Schwarzschild, Kerr and Morris-Thorpe space-times.

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