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.
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REFERENCES
S. M. Scott, B. J. K. Evans, and A. C. Searle, (ed) V. G. Gurzadgan GRworkbench: A Computational System based on Differential Geometry. In Ninth Marcel Grossmann Conference.World Scientific, 2001, pp. 458–467.
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Evans, B.J.K., Scott, S.M. & Searle, A.C. Smart Geodesic Tracing in GRworkbench. General Relativity and Gravitation 34, 1675–1684 (2002). https://doi.org/10.1023/A:1020124324235
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DOI: https://doi.org/10.1023/A:1020124324235