Einstein Equations in Vacuum as Integrability Conditions

Physics

Scientific paper

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Fundamental Problems And General Formalism, Exact Solutions

Scientific paper

The Einstein equations describing gravitational fields in vacuum are written as a compact exterior system of spinor-valued forms. A second system of equations is given, such that their integrability conditions are satisfied by virtue of the Einstein equations. This suggests the possibility of integrating the field equations by means of an inversetype procedure.

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