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General Relativity and Gravitation

, Volume 19, Issue 6, pp 623–635 | Cite as

NP: A maple package for performing calculations in the Newman-Penrose formalism

  • S. R. Czapor
  • R. G. McLenaghan
Research Articles

Abstract

A symbolic algebra package is presented for performing computations in the Newman-Penrose formalism. We illustrate the power of the package by using it to carry out a complex calculation that arises in the integration of the Petrov type-D vacuum field equations.

Keywords

Field Equation Differential Geometry Complex Calculation Maple Package Vacuum Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Buchberger, B. (1976).ACM SIGSAM Bull.,10, 3.Google Scholar
  2. 2.
    Char, B. W., Fee, G. J., Geddes, K. O., Gonnet, G. H., and Monagan, M. B. (1986).J. Sym. Comp.,2, 2.Google Scholar
  3. 3.
    Char, B. W., Geddes, K. O., Gonnet, G. H., and Watt, S. M. (1985).Maple User's Guide (WATCOM Publications, Waterloo, Ontario).Google Scholar
  4. 4.
    Char, B. W., Geddes, K. O., Gentleman, W. M., and Gonnet, G. H. (1983). InLecture Notes in Computer Science,162, p. 101.Google Scholar
  5. 5.
    Czapor, S. R., and Geddes, K. O. (1986). Proceedings of the 1986 Symposium on Symbolic and Algebraic Computation (SYMSAC '86), B. W. Char, ed., Waterloo, Ontario.Google Scholar
  6. 6.
    Czapor, S. R., and McLenaghan, R. G. (1982).J. Math. Phys.,23, p. 2159.Google Scholar
  7. 7.
    Kramer, D., Stephani, H., Herlt, E., and MacCallum, M. (1980). InExact Solutions of Einstein's Field Equations, E. Schmutzer, ed. (Cambridge University Press, Cambridge).Google Scholar
  8. 8.
    Newman, E., and Penrose, R. (1962).J. Math. Phys.,3, p. 566.Google Scholar
  9. 9.
    Pirani, F. A. E. (1964). InLectures on General Relativity, S. Deser and W. Ford, ed. (Prentice-Hall, New Jersey), 1964.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • S. R. Czapor
    • 1
  • R. G. McLenaghan
    • 1
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada

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