Using Algebraic Computing To Teach General Relativity And Cosmology

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Abstract

The article presents some new aspects and experience on the use of computer in teaching general relativity and cosmology for undergraduate students (and not only) with some experience in computer manipulation. Some years ago certain results were reported [1] using old fashioned computer algebra platforms but the growing popularity of graphical platforms as Maple and Mathematica forced us to adapt and reconsider our methods and programs. We will describe some simple algebraic programming procedures (in Maple with GrTensorII package) for obtaining and the study of some exact solutions of the Einstein equations in order to convince a dedicated student in general relativity about the utility of a computer algebra system.

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  • [1] F. A. Ghergu D. N. Vulcanov – Computing in Science and Engineering 13 (2001) 65;

  • [2] C. W. Misner K. S. Thorne J. A. Wheeler Gravitation Freeman San Francisco (1973);

  • [3] J. N. Islam An Introduction to Mathematical Cosmology Cambridge University Press Cambridge (1992);

  • [4] D. N. Vulcanov V. D. Vulcanov Analele Univ. de Vest din Timisoara Seria Matematica-Informatica vol. XLII Fasc. special 2 (2004) 181; electronic version at arXiv:cs/0409006;

  • [5] D. N. Vulcanov IEEE Computer Society SYNASC06 ConferencePost-proceedings (2006) 47 electronic version at IEEE Digital Library and arXiv:gr-qc/0210006;

  • [6] D. N. Vulcanov Central Europ. J. of Physics 6 (2008) 84;

  • [7] J. P. Ostriker P. J. Steinhardt Nature 377 (1995) 600;

  • [8] S. Perlmutter et.al. Astrophys. J 517 (1999) 565;

  • [9] K. H. Heal M. L. Hansen K. M. Richard Maple6 -Learning guide. Waterloo Maple Inc. (2000);

  • [10] http://grtensor.org.

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