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A fundamental quadratic variational principle underlying general relativity

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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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Atkins, W.K. A fundamental quadratic variational principle underlying general relativity. Found Phys 13, 545–552 (1983). https://doi.org/10.1007/BF00729515

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