Vacuum Einstein Equations in Terms of Curvature Forms
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
A closed explicit representation of the vacuum Einstein equations in terms of components of curvature 2-forms is given. The discussion is restricted to the case of non-vanishing cubic invariant of conformal curvature spinor. The complete set of algebraic and differential identities connecting particular equations is presented and their consistency conditions are analyzed.
Keywords
Cite
@article{arxiv.gr-qc/9603040,
title = {Vacuum Einstein Equations in Terms of Curvature Forms},
author = {Yuri N. Obukhov and Sergey I. Tertychniy},
journal= {arXiv preprint arXiv:gr-qc/9603040},
year = {2009}
}
Comments
30 pages, RevTex