Mathematical Association of America, Spring 2015 (BYU)
The equivalence problem in general relativity is to determine whether two solutions of the Einstein field equations are isometric. Petrov has given a classification of metrics according to their isometry algebras. This talk discusses the use of the Petrov classification scheme, together with the use of scalar curvature invariants, to address the equivalence problem. These are the slides for a presentation at the Mathematics Association of America Spring 2015 conference at Brigham Young University.
Hicks, Jesse, "The Riemann curvature tensor, its invariants, and their use in the classification of spacetimes" (2015). Presentations and Publications. Paper 8.