A fundamental quadratic variational principle underlying general relativity

Foundations of Physics 13 (5):545-552 (1983)
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Abstract

The fundamental result of Lanczos is used in a new type of quadratic variational principle whose field equations are the Einstein field equations together with the Yang-Mills type equations for the Riemann curvature. Additionally, a spin-2 theory of gravity for the special case of the Einstein vacuum is discussed.

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General relativity with a background metric.Nathan Rosen - 1980 - Foundations of Physics 10 (9-10):673-704.

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