On a certain formulation of the Einstein equations

Abstract

We define a certain differential system on an open set of $R^6$. The system locally defines a Lorentzian 4-manifold satisfying the Einstein equations. The converse statement is indicated and its details are postponed to the furthcoming paper.

7 pages, Latex

References in corpus (2)

• Twistor Bundles, Einstein Equations and Real Structures
• Elliptic fibrations associated with the Einstein spacetimes

Cited by in corpus (3)

• Geometry of Third-Order Ordinary Differential Equations and Its Applications in General Relativity
• Elliptic fibrations associated with the Einstein spacetimes
• Extension of bundles of null directions