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.
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Åman, J.E., d'Inverno, R.A., Joly, G.C., MacCallum, M.A.H. (1985). Progress on the equivalence problem. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_242
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DOI: https://doi.org/10.1007/3-540-15984-3_242
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