Skip to main content
Log in

Algebraic computing in general relativity

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

Abstract

The purpose of this paper is to bring to the attention of potential users the existence of algebraic computing systems, and to illustrate their use by reviewing a number of problems for which such a system has been successfully used in General Relativity. In addition, some remarks are included which may be of help in the future design of these systems.

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

Access this article

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

Instant access to the full article PDF.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. d'Inverno, R.A. (1969).Comput. J.,12, 124.

    Google Scholar 

  2. d'Inverno, R.A. (1969).The ALAM Programmer ' s Manual, (King's College, London).

    Google Scholar 

  3. d'Inverno, R.A. and Russell-Clark, R.A. (1974).Comput. J.,17, 229.

    Google Scholar 

  4. d'Inverno, R.A. and Russell-Clark, R.A. (1971).The CLAM Programmer's Manual, Part 1, Simple Applications of CLAM to Computing Curvature Tensors and Some Related Quantities, (King's College, London).

    Google Scholar 

  5. d'Inverno, R.A. and Russell-Clark, R.A. (1972).The CLAM Programmer's Manual, Part 2, Additional Facilities, (Computer Laboratory, University of Cambridge).

  6. d'lnverno, R.A. (1978). (Ph.D. thesis), (King's College, London).

    Google Scholar 

  7. Cohen, H.I., Leringe, Ö. and Sundbland, Y. (1974).The Use of Algebraic Computing in General Relativity, (preprint), (Stockholm University, Sweden).

    Google Scholar 

  8. Fletcher, J.G., Clemens, R.W., Metzner, R.A., Thorne, K.S. and Zimmerman, B.A. (1967).Astrophys. J. Lett.,148, ???.

    Google Scholar 

  9. Hall, A.D. (1971).Commun. A.C.M.,14, 571.

    Google Scholar 

  10. Barton, D., Bourne, S.R. and Fitch, J. (1970).Comput. J.,13, 243.

    Google Scholar 

  11. Hearne, A.C. (1971).Proceedings of The Second Symposium on Symbolic and Algebraic Manipulation, (A.C.M., New York), p. 128.

    Google Scholar 

  12. Collins, G.E. (1971).Proceedings of the Second Symposium on Symbolic and Algebraic Manipulation, (A.C.M., New York), p. 144.

    Google Scholar 

  13. Strubbe, H.SCHOONSHIP Manual, (CERN Data Division, Geneva).

  14. Engeli, M.E. (1969).Adv. Inf. Sci.,1, 117.

    Google Scholar 

  15. Martin, W.A. (1967).Project MAC, MAC-TR-36, (thesis), (M.I.T.).

  16. Tolman, R.C. (1934).Relativity, Thermodynamics and Cosmology, (Oxford University Press), p. 253.

  17. Bondi, H., van der Burg, M. and Metzner, A. (1962).Proc. Roy. Soc,A269, 21.

    Google Scholar 

  18. Chellone, D.S. and Williams, D.P. (1973).Proc. Roy. Soc,A332, 549.

    Google Scholar 

  19. Sachs, R.K. (1962).Proc Roy. Soc,A294, 103.

    Google Scholar 

  20. van der Burg, M. (1966).Proc Roy. Soc,A294, 112.

    Google Scholar 

  21. Harrison, B.K. (1959).Phys. Rev.,116, 1285.

    Google Scholar 

  22. d'Inverno, R.A. and Russell-Clark, R.A. (1971).J. Math. Phys.,12, 1258.

    Google Scholar 

  23. Jackson, J.C. (1969). (Ph.D. thesis), (King's College, London).

    Google Scholar 

  24. Newman, E.T. and Janis, A.I. (1965).J. Math. Phys.,6, 915.

    Google Scholar 

  25. Levy, H. (1968).Proc. Comb. Phil. Soc,64, 1081.

    Google Scholar 

  26. d'Inverno, R.A. (1975).J. Math. Phys.,16, 670.

    Google Scholar 

  27. d'Inverno, R.A. (1975).J. Math. Phys.,16, 674.

    Google Scholar 

  28. Landau, L.D. and Lifschitz, E.M. (1962).The Classical Theory of Fields, (Pergamon Press, Oxford), p. 316.

    Google Scholar 

  29. Møller, C. (1964).Mat. Fys. Medd. Dan. Vid. Selsk.,34, 67.

    Google Scholar 

  30. d'Inverno, R.A. and Russell-Clark, R.A. (1975).J. Phys.,A8, 6.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

d'Inverno, R.A. Algebraic computing in general relativity. Gen Relat Gravit 6, 567–593 (1975). https://doi.org/10.1007/BF00761964

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00761964

Keywords

Navigation