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ORTOCARTAN — A new computer program for analytic calculations in general relativity

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Abstract

This paper is meant to announce the appearance of a new computer program for symbolic calculations in general relativity, named ORTOCARTAN. The program calculates the curvature quantities from an orthonormal tetrad of forms representing the metric, both the tetrad and the coordinate components. The paper describes the main features of the program's input and output, and compares the program's speed to a few general-purpose systems, notably LAM, ALTRAN, FORMAC, REDUCE, and SYMBAL. A general overview of technical parameters of the program, and conceptual features of the algorithm is given.

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References

  1. Cohen, H. I., Leringe. Ö., and Sundblad, Y. (1976).Gen. Rel. Grav.,7, 269.

    Google Scholar 

  2. Barton, D., and Fitch, J. P. (1972).Rep. Progr. Phys.,35, 235.

    Google Scholar 

  3. Krasiński, A., and Perkowski, M. (1978).Postepy Astronomii,26, 33 (in Polish).

    Google Scholar 

  4. Bondi, H., van der Burg, M., and Metzner, A. (1962).Proc. R. Soc. London Ser. A,269, 21.

    Google Scholar 

  5. Levy. H. (1968).Proc. Cambridge Phil. Soc.,64, 1081.

    Google Scholar 

  6. d'Inverno, R. A. (1975).Gen. Rel. Grav.,6, 567.

    Google Scholar 

  7. d'Inverno, R. A., and Russell-Clark, R. A. (1971).Computer J.,17, 229.

    Google Scholar 

  8. Rindler, W. (1977).Essential Relativity; Special, General and Cosmological (Springer Verlag, New York), p. 138.

    Google Scholar 

  9. Krasiński, A. (1975).Acta Phys. Polon.,B6, 223.

    Google Scholar 

  10. Nariai, H. (1950).Sci. Rep. Tôhoku Univ.,34, 160; (1951).ibid.,35, 62.

    Google Scholar 

  11. Krasiński, A., and Plebański J. (1978). “n-dimensional complex Riemann-Einstein spaces withO (n −1, C) as the symmetry group.” Preprint, in press inRep. Math. Phys.

  12. Gödel, K. (1949).Rev. Mod. Phys.,21, 447.

    Google Scholar 

  13. Krasiński, A. (1974).Acta Phys. Polon.,B5, 411.

    Google Scholar 

  14. Lanczos, K. (1924).Z. Phys.,21, 73.

    Google Scholar 

  15. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco), p. 843.

    Google Scholar 

  16. Robinson, I., and Trautman, A. (1962).Proc. R. Soc. London Ser. A,265, 463.

    Google Scholar 

  17. Kowalczyński, J. K. (1978).Phys. Lett.,65A, 269.

    Google Scholar 

  18. Krasiński, A. (1978).Ann. Phys. (N. Y.),112, 22.

    Google Scholar 

  19. Wainwright, J. (1978). “CAMAL Programs for GRT: A User's Guide,” University of Waterloo preprint.

  20. Roskies, R. (1977). Private communication.

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Authors and Affiliations

  1. N. Copernicus Astronomical Center, Polish Academy of Sciences, Bartycka 18, 00-716, Warszawa, Poland

    Andrzej Krasiński

  2. Institute of Automatic Control, Warsaw Technical University, Nowowiejska 15/19, 00-665, Warszawa, Poland

    Marek Perkowski

Authors
  1. Andrzej Krasiński
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  2. Marek Perkowski
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Krasiński, A., Perkowski, M. ORTOCARTAN — A new computer program for analytic calculations in general relativity. Gen Relat Gravit 13, 67–77 (1981). https://doi.org/10.1007/BF00766299

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  • DOI: https://doi.org/10.1007/BF00766299

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