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Smart Geodesic Tracing in GRworkbench
Authors:Benjamin J. K. Evans  Susan M. Scott  Antony C. Searle
Affiliation:(1) Department of Physics, Faculty of Science, The Australian National University, Canberra, ACT, 0200, Australia;(2) ANU Supercomputer Facility, The Australian National University, Leonard Huxley Building (56), Mills Road, Canberra, ACT, 0200, Australia
Abstract:We have developed a new tool for numerical work in General Relativity: GRworkbench. We discuss how GRworkbench's implementation of a numerically-amenable analogue to Differential Geometry facilitates the development of robust and chart-independent numerical algorithms. We consider, as an example, geodesic tracing on two charts covering the exterior Schwarzschild space-time.
Keywords:General relativity  geodesic equation
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