Vacuum Einstein Equations in Terms of Curvature Forms
arXiv:gr-qc/9603040 · doi:10.1088/0264-9381/13/6/025
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.
30 pages, RevTex
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