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General Relativity and Gravitation

, Volume 38, Issue 6, pp 1095–1108 | Cite as

Computer Algebra: from the Visible to the Invisible

  • R. A. d'Inverno
Research Article
  • 66 Downloads

Keywords

Covariant Derivative Computer Algebra Computer Algebra System Riemann Tensor Assembly Code 
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.
    d'Inverno, R.A.: General relativity and gravitation. In: Held, A. (ed.), vol. 1, p. 491. Plenum, New York (1980)Google Scholar
  2. 2.
    d'Inverno, R.A.: Comput. J. 12, 124 (1969)CrossRefGoogle Scholar
  3. 3.
    d'Inverno, R.A.: Introducing Einstein's Relativity. Oxford University Press, Oxford, United Kingdom (1992)zbMATHGoogle Scholar
  4. 4.
    Sammet, J.E.: Commun. ACM. 9, 555 (1966)zbMATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    d'Inverno, R.A., Russell-Clark, R.A.: Comput. J. 17, 229 (1971)CrossRefGoogle Scholar
  6. 6.
    MacCallum, M.A.H., Skea, J.E.F., McCrea, J.D., McLenaghan, R.G.: Algebraic Computing in General Relativity. Clarendon Press, Oxford, United Kingdom (1994)zbMATHGoogle Scholar
  7. 7.
    Bondi, H., van der Burg, M., Metzner A.: Proc. Roy. Soc. London A269, 21 (1962)MathSciNetADSGoogle Scholar
  8. 8.
    d'Inverno, R.A., Russell-Clark R.A.: J Math. Phys. 12, 1258 (1971)CrossRefADSGoogle Scholar
  9. 9.
    Frick, I.: The computer algebra system SHEEP. What it can and cannot do in general relativity. University of Stockholm, Institute of Theoretical Physics Report (1977)Google Scholar
  10. 10.
    d'Inverno., R.A., Frick, I.: Gen. Rel. Grav. 14, 735 (1982)CrossRefGoogle Scholar
  11. 11.
    d'Inverno, R.A.: Comp. Phys. Comm. 115, 330 (1998)zbMATHMathSciNetCrossRefADSGoogle Scholar
  12. 12.
    Karlhede, A.: Gen Rel. Grav. 12, 693 (1980)zbMATHMathSciNetCrossRefADSGoogle Scholar
  13. 13.
    Collins, J.M., d'Inverno, R.A., Vickers J.A.: Class. Quant. Grav. 7, 1905 (1990)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Collins, J.M.: Class. Quant. Grav. 8, 1859 (1991)zbMATHCrossRefADSGoogle Scholar
  15. 15.
    Collins, J.M., d'Inverno, R.A.: Class. Quant. Grav. 10, 343 (1993)MathSciNetCrossRefADSzbMATHGoogle Scholar
  16. 16.
    Machado Ramos, M.P., Vickers J.A.: Class. Quant. Grav. 13, 1579 (1996)MathSciNetCrossRefADSzbMATHGoogle Scholar
  17. 17.
    Koutras, A.: Class. Quant. Grav. 9, L143 (1992)zbMATHMathSciNetCrossRefADSGoogle Scholar
  18. 18.
    Åman, J.E.: Manual for CLASSI: classification programs in general relativity. University of Stockholm, Institute of Theoretical Physics Report (1987)Google Scholar
  19. 19.
    Kramer, D., Stephani, H., MacCallum, M.A.H., Herlt, E.: Exact Solutions of Einstein's Field Equations. Cambridge University Press, Cambridge, United Kingdom (1980)Google Scholar
  20. 20.
    Krasiński, A.: Inhomogeneous Cosmological Models. Cambridge University Press, Cambridge, United Kingdom (1977)Google Scholar
  21. 21.
    Åman, J.E., Karlhede A.: Phys. Lett. A. 80, 229 (1980)MathSciNetCrossRefADSGoogle Scholar
  22. 22.
    Harrison, B.K.: Phys. Rev. 116, 1285 (1959)zbMATHMathSciNetCrossRefADSGoogle Scholar
  23. 23.
    Piper. M.S.: London University PhD Thesis (1997)Google Scholar
  24. 24.
    Bondi, H., Rindler, W.: Gen. Rel. Grav. 23, 487 (1991)MathSciNetCrossRefADSGoogle Scholar
  25. 25.
    Piper, M.S.: Class. Quant. Grav. 14, 783 (1997)zbMATHMathSciNetCrossRefADSGoogle Scholar
  26. 26.
    Bonnor, W.B., Piper, M.S.: Class. Quant. Grav. 14, 2895 (1997)MathSciNetCrossRefADSzbMATHGoogle Scholar
  27. 27.
    Eiroa, E.F., Romero, G.E.: Gen Rel. Grav. 36, 651 (2004)MathSciNetCrossRefADSzbMATHGoogle Scholar
  28. 28.
    Elvey, J.S.N.: Private communicationGoogle Scholar

Copyright information

© Springer Science and Business Media Inc., New York 2006

Authors and Affiliations

  1. 1.School of MathematicsUniversity of SouthamptonSouthamptonEngland, UK

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