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On the application of computer algebra to velocity dominated approximations

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Abstract

We demonstrate the implementation of a computer algebra system to perform calculations in a variable frame formalism in general relativity in SHEEP. We present the results of the application of such a program to the velocity dominated approximations to solutions near space-like singularities.

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References

  1. Frick, I. (1977). University of Stockholm Institute of Theoretical Physics technical report 77-15.

  2. Joly, G. C. (1986). InEleventh International Conference on General Relativity and Gravitation, Abstracts Vol. 1.

  3. Hohnes, G. (1986). InEleventh International Conference on General Relativity and Gravitation, Abstracts Vol. 1.

  4. Hörnfeldt, L. (1988).Computer Algebra in Relativity (Methods for handling abstract tensors and noncommutative objects), University of Stockholm Ph. D thesis.

  5. Hearn, A. C. (1985).REDUCE Users Manual — Version 3.2, Rand Publication CP78 (Rev. 4/85), (The Rand Corporation, Santa Monica, California).

    Google Scholar 

  6. Char, B. W., Geddes, K. O., Gentleman, W. M., and Gönnet, G. H. (1983). InProceedings of EUROCAL 1982, ed. J. A. Van Hulzen, (Lecture Notes in Computer Science, 162, Springer, Berlin).

    Google Scholar 

  7. MacCallum, M. A. H. (1986). InGravitational Collapse and Relativity (Proceedings of the XIV Yamada conference), ed. H. Sato and T. Nakamura, (World Scientific, Singapore).

    Google Scholar 

  8. d'Inverno, R. A. and Frick, I. (1982).Gen. Rel. Grav.,14, 735.

    Google Scholar 

  9. Skea, J. E. F. (1988). “Applications of SHEEP,” Internal Report, Queen Mary College, London.

    Google Scholar 

  10. Lifschitz, E. M. and Khalatnikov, I. M. (1963).Adv. Phys.,12, 185.

    Google Scholar 

  11. Eardley, D., Liang, E., and Sachs, R. (1972).J. Math. Phys.,13, 99.

    Google Scholar 

  12. Smallwood, J. (1983). “Velocity Dominated Singularities,” Internal Report, Queen Mary College, London.

    Google Scholar 

  13. Heckmann, O. and Schucking, E. (1962). InGravitation: An Introduction to Current Research, ed. L. Witten, (Wiley).

  14. Kasner, E. (1921).Amer. J. Math.,43, 217.

    Google Scholar 

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Author notes

  1. G. C. Joly

    Present address: Department of Psychiatry, University College Middlesex School of Medicine, W1N 8AA, London, UK

  2. J. Smallwood

    Present address: Department of Electrical Engineering, University of Southampton, SO9 5NH, Southampton, Hants, UK

  3. G. Holmes

    Present address: Department of Computer Science, University of Waikato, Hamilton, New Zealand

Authors and Affiliations

  1. Faculty of Mathematical Studies, University of Southampton, SO9 5NH, Southampton, UK

    G. Holmes

  2. School of Mathematical Sciences, Queen Mary and Westfield College, E1 4NS, London, UK

    G. C. Joly & J. Smallwood

Authors
  1. G. Holmes
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  2. G. C. Joly
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  3. J. Smallwood
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Holmes, G., Joly, G.C. & Smallwood, J. On the application of computer algebra to velocity dominated approximations. Gen Relat Gravit 22, 749–763 (1990). https://doi.org/10.1007/BF00764154

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  • DOI: https://doi.org/10.1007/BF00764154

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