General Relativity and Gravitation

, Volume 6, Issue 6, pp 567–593 | Cite as

Algebraic computing in general relativity

  • Raymon A. d'Inverno
Research Articles


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.


General Relativity Computing System Differential Geometry Potential User Future Design 
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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  1. 1.
    d'Inverno, R.A. (1969).Comput. J.,12, 124.Google Scholar
  2. 2.
    d'Inverno, R.A. (1969).The ALAM Programmer ' s Manual, (King's College, London).Google Scholar
  3. 3.
    d'Inverno, R.A. and Russell-Clark, R.A. (1974).Comput. J.,17, 229.Google Scholar
  4. 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. 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).Google Scholar
  6. 6.
    d'lnverno, R.A. (1978). (Ph.D. thesis), (King's College, London).Google Scholar
  7. 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. 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. 9.
    Hall, A.D. (1971).Commun. A.C.M.,14, 571.Google Scholar
  10. 10.
    Barton, D., Bourne, S.R. and Fitch, J. (1970).Comput. J.,13, 243.Google Scholar
  11. 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. 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. 13.
    Strubbe, H.SCHOONSHIP Manual, (CERN Data Division, Geneva).Google Scholar
  14. 14.
    Engeli, M.E. (1969).Adv. Inf. Sci.,1, 117.Google Scholar
  15. 15.
    Martin, W.A. (1967).Project MAC, MAC-TR-36, (thesis), (M.I.T.).Google Scholar
  16. 16.
    Tolman, R.C. (1934).Relativity, Thermodynamics and Cosmology, (Oxford University Press), p. 253.Google Scholar
  17. 17.
    Bondi, H., van der Burg, M. and Metzner, A. (1962).Proc. Roy. Soc,A269, 21.Google Scholar
  18. 18.
    Chellone, D.S. and Williams, D.P. (1973).Proc. Roy. Soc,A332, 549.Google Scholar
  19. 19.
    Sachs, R.K. (1962).Proc Roy. Soc,A294, 103.Google Scholar
  20. 20.
    van der Burg, M. (1966).Proc Roy. Soc,A294, 112.Google Scholar
  21. 21.
    Harrison, B.K. (1959).Phys. Rev.,116, 1285.Google Scholar
  22. 22.
    d'Inverno, R.A. and Russell-Clark, R.A. (1971).J. Math. Phys.,12, 1258.Google Scholar
  23. 23.
    Jackson, J.C. (1969). (Ph.D. thesis), (King's College, London).Google Scholar
  24. 24.
    Newman, E.T. and Janis, A.I. (1965).J. Math. Phys.,6, 915.Google Scholar
  25. 25.
    Levy, H. (1968).Proc. Comb. Phil. Soc,64, 1081.Google Scholar
  26. 26.
    d'Inverno, R.A. (1975).J. Math. Phys.,16, 670.Google Scholar
  27. 27.
    d'Inverno, R.A. (1975).J. Math. Phys.,16, 674.Google Scholar
  28. 28.
    Landau, L.D. and Lifschitz, E.M. (1962).The Classical Theory of Fields, (Pergamon Press, Oxford), p. 316.Google Scholar
  29. 29.
    Møller, C. (1964).Mat. Fys. Medd. Dan. Vid. Selsk.,34, 67.Google Scholar
  30. 30.
    d'Inverno, R.A. and Russell-Clark, R.A. (1975).J. Phys.,A8, 6.Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • Raymon A. d'Inverno
    • 1
  1. 1.Department of MathematicsUniversity of SouthamptonSouthamptonEngland

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