Differential invariants of Kundt waves
General Relativity and Quantum Cosmology
2019-07-31 v1 Differential Geometry
Abstract
Kundt waves belong to the class of spacetimes which are not distinguished by their scalar curvature invariants. We address the equivalence problem for the metrics in this class via scalar differential invariants with respect to the equivalence pseudo-group of the problem. We compute and finitely represent the algebra of those on the generic stratum and also specify the behavior for vacuum Kundt waves. The results are then compared to the invariants computed by the Cartan-Karlhede algorithm.
Keywords
Cite
@article{arxiv.1901.02635,
title = {Differential invariants of Kundt waves},
author = {Boris Kruglikov and David McNutt and Eivind Schneider},
journal= {arXiv preprint arXiv:1901.02635},
year = {2019}
}