Skip to main content
SpringerLink
Log in

The automatic conversion of spinor equations to dyad form in MAPLE

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A new package in the symbolic algebra system MAPLE is presented for the conversion of complicated spinor equations to their expansions with respect to a normalized spinor dyad. By following a simple index convention, we obtain a powerful computational tool with a straightforward and easy to use syntax. A number of examples, including nontrivial applications of the package to recent research, are provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Carminati, J., and McLenaghan, R. G. (1988).Ann. Inst. Henri Poincaré, Phys. theor. 48, 77.

    Google Scholar 

  2. Carminati, J., Czapor, S. R., McLenaghan, R. G., and Williams, G. C. (1991).Ann. Inst. Henri Poincaré, Phys. theor. 54, 9.

    Google Scholar 

  3. Carminati, J., and McLenaghan, R. G., (1991).J. Math. Phys. 32, 3135.

    Google Scholar 

  4. Char, B. W., Fee, G. J., Geddes, K. O., Gonnet, G. H., and Monagan, M. B. (1986).J. Symbolic Comp. 2, 179.

    Google Scholar 

  5. Czapor, S. R. and McLenaghan, R. G. (1982).J. Math. Phys. 23, 2159.

    Google Scholar 

  6. Czapor, S. R. and McLenaghan, R. G. (1987).Gen. Rel. Grav. 19, 623.

    Google Scholar 

  7. Czapor, S. R., McLenaghan, R. G., and Carminati, J. (1989). InAbstracts Proc. of XII Int. Conf. on General Relativity and Gravitation, July 1989, Boulder (Colorado, USA).

  8. Hornfeldt, L. (1988). STENSORReference Manual, Version 2.3 (University of Stockholm, Dept. of Theoretical Physics).

  9. Kernighan, B. W. (1977).A System for Typesetting Mathematics—User's Guide (Second Edition), Bell Laboratories Comp. Sci. Tech. Report 17.

  10. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).

    Google Scholar 

  11. Lamport, L. (1985).LaTeX: A Document Preparation System (Addison-Wesley, New York).

    Google Scholar 

  12. Newman, E., and Penrose, R. (1962).J. Math. Phys. 3, 566.

    Google Scholar 

  13. Ossanna, J. F. (1976). NROFF/TROFFUser's Manual, Bell Laboratories Comp. Sci. Tech. Report 54.

  14. Penrose, R. (1960).Ann. Phys. (NY) 10, 171.

    Google Scholar 

  15. Pirani, F. A. E. (1964). InLectures on General Relativity, W. Ford, ed. (Prentice-Hall, New York).

    Google Scholar 

  16. Rinke, W., and Wünsch, V. (1981).Beitr. zur Analysis 18, 43.

    Google Scholar 

  17. Sachs, R. K. (1964). InRelativity, Groups and Topology, B. S. DeWitt, ed. (Gordon and Breach, New York).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Laurentian University, P3E 2C6, Sudbury, Ontario, Canada

    S. R. Czapor

  2. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    R. G. McLenaghan

  3. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, W.A., Australia

    J. Carminati

Authors
  1. S. R. Czapor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. G. McLenaghan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Carminati
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Czapor, S.R., McLenaghan, R.G. & Carminati, J. The automatic conversion of spinor equations to dyad form in MAPLE. Gen Relat Gravit 24, 911–928 (1992). https://doi.org/10.1007/BF00759122

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00759122

Keywords

Search

Navigation