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Vacuum Einstein Equations in Terms of Curvature Forms

Yuri N. Obukhov·Sergey I. Tertychniy
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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.

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Yuri N. Obukhov, Sergey I. Tertychniy. 1996-03-24. Vacuum Einstein Equations in Terms of Curvature Forms. https://doi.org/10.1088/0264-9381%2F13%2F6%2F025

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