A review of the geometrical equivalence of metrics in general relativity
- Cite this article as:
- Karlhede, A. Gen Relat Gravit (1980) 12: 693. doi:10.1007/BF00771861
- 194 Downloads
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.