Studying null and time-like geodesics in the classroom
arXiv:1105.0109 · doi:10.1088/0143-0807/32/3/011
Abstract
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.
13 pages, 9 figures; the GeodesicViewer can be downloaded from http://www.vis.uni-stuttgart.de/relativity
References in corpus (1)
Cited by in corpus (5)
- GYOTO: a new general relativistic ray-tracing code
- Generalized, energy-conserving numerical simulations of particles in general relativity. I. Time-like and null geodesics
- Structure of geodesics in the regular Hayward black hole space-time
- Orbital motion of test particles in regular Hayward black hole space-time
- A possible approach on optical analogues of gravitational attractors