A Review of the geometrical equivalence of metrics in general relativity

Sep, 1979
15 pages
Published in:
  • Gen.Rel.Grav. 12 (1980) 693-707

Citations per year

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Abstract: (Springer)
We review the solution to the equivalence problem in general relativity given by Cartan and Brans and present a practically useful method to obtain a coordinate-invariant description of a geometry. The method, which can be seen as a generalized Petrov classification, automatically gives the dimensions of the isometry group and its isotropy subgroup. Finally, we illustrate the method using the Schwarzschild solution as a very simple example.