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Abstract: Most early twentieth century relativists - Lorentz, Einstein, Eddington,for examples - claimed that general relativity was merely a theory of theaether. We shall confirm this claim by deriving the Einstein equations usingaether theory. We shall use a combination of Lorentz-s and Kelvin-s conceptionof the aether. Our derivation of the Einstein equations will not use thevanishing of the covariant divergence of the stress-energy tensor, but insteadequate the Ricci tensor to the sum of the usual stress-energy tensor and astress-energy tensor for the aether, a tensor based on Kelvin-s aether theory.A crucial first step is generalizing the Cartan formalism of Newtonian gravityto allow spatial curvature, as conjectured by Gauss and Riemann.



Autor: Maurice J. Dupre, Frank J. Tipler

Fuente: https://arxiv.org/







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