English

The Seven Classes of the Einstein Equations

Differential Geometry 2010-01-27 v1 Mathematical Physics math.MP

Abstract

In current paper we refer to the geometrical classification of the Einstein equations which has been developed by one of the authors of this paper. This classification was based on the classical theory for decomposition of the tensor product of representations into irreducible components, which is studied in the elementary representation theory for orthogonal groups. We return to this result for more detailed investigation of classes of the Einstein equations.

Keywords

Cite

@article{arxiv.1001.4673,
  title  = {The Seven Classes of the Einstein Equations},
  author = {Sergey E. Stepanov and Irina I. Tsyganok},
  journal= {arXiv preprint arXiv:1001.4673},
  year   = {2010}
}

Comments

9pages

R2 v1 2026-06-21T14:39:35.137Z