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Einstein's Energy-Free Gravitational Field

Kenneth Dalton
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Abstract

We show that Einstein's gravitational field has zero energy, momentum, and stress. This conclusion follows directly from the gravitational field equations, in conjunction with the differential law of energy-momentum conservation $ T^{μν}_{;ν} = 0 $. Einstein rejected this conservation law despite the fact that it is generally covariant. We trace his rejection to a misapplication of Gauss' divergence formula. Finally, we derive the formula which pertains to energy-momentum conservation.

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Kenneth Dalton. 1998-03-13. Einstein's Energy-Free Gravitational Field. https://arxiv.org/abs/gr-qc/9512008

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