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Smart Geodesic Tracing in GRworkbench

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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

  1. 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.

  2. B. J. K. Evans. New Geometric Analysis Tools for Investigating Global Structure in General Relativity. PhD thesis, The Australian National University, 2000.

  3. A. C. Searle. GRworkbench. Honours thesis, The Australian National University, 1999.

  4. S.W. Hawking and G. F. R. Ellis. The Large Scale Structure of Space-time. Cambridge University Press, 1973.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, The Australian National University, Canberra, ACT, 0200, Australia

    Benjamin J. K. Evans, Susan M. Scott & Antony C. Searle

  2. ANU Supercomputer Facility, The Australian National University, Leonard Huxley Building (56), Mills Road, Canberra, ACT, 0200, Australia

    Benjamin J. K. Evans

Authors
  1. Benjamin J. K. Evans
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  2. Susan M. Scott
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  3. Antony C. Searle
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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

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