Studying null and time-like geodesics in the classroom

Details Studying null and time-like geodesics in the classroom Studying null and time-like geodesics in the classroom

2011-04-30

arxiv.org/abs/1105.0109v1

Eur.J.Phys.32:747,2011

Physics

Physics Education

13 pages, 9 figures; the GeodesicViewer can be downloaded from http://www.vis.uni-stuttgart.de/relativity

Scientific paper

10.1088/0143-0807/32/3/011

In a first course of general relativity it is usually quite difficult for students to grasp the concept of a geodesic. It is supposed to be straight (auto-parallel) and yet it 'looks' curved. In these situations it is very useful to have some explicit examples available which show the different behaviour of geodesics. In this paper we present the GeodesicViewer, an interactive tool for studying the behaviour of geodesics in many different space-times. The geodesics can be represented in several ways, depending on the space-time in question. The use of a local reference frame and 'Cartesian-like' coordinates helps the students to develop some intuition in various situations. We present the various features of the GeodesicViewer in the form of readily formulated exercises for the students.

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