Using Algebraic Computing To Teach General Relativity And Cosmology

Open access

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.

References

  • [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);

Annals of West University of Timisoara - Physics

The Journal of West University of Timisoara

Journal Information

Metrics

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 16 16 12
PDF Downloads 3 3 2