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Progress on the equivalence problem

  • J. E. Åman
  • R. A. d'Inverno
  • G. C. Joly
  • M. A. H. MacCallum
Applications I
Part of the Lecture Notes in Computer Science book series (LNCS, volume 204)

Abstract

The equivalence problem in general relativity arises from the arbitrariness of coordinate choice and is the problem of deciding whether two apparently, different space-times are (locally) identical or not. Here we review the basic procedure for resolving this question, and its practical implementation, as presented in previous papers, and report on recent theoretical and practical research in this area. Some of the techniques are of interest in other problems; in particular, they may be applicable to tests of the equivalence of systems of differential equations.

Keywords

Equivalence Problem Riemann Tensor Differential Invariant Frame Bundle Petrov Type 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • J. E. Åman
    • 1
  • R. A. d'Inverno
    • 2
  • G. C. Joly
    • 1
  • M. A. H. MacCallum
    • 1
  1. 1.School of Mathematical SciencesQueen Mary CollegeLondonUK
  2. 2.Faculty of MathematicsUniversity of SouthamptonSouthamptonUK

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