Einstein's Energy-Free Gravitational Field

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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.
5 pages, LaTeX. Note: Divergence formula (13) is clarified

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/147755

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9512008
 http://arxiv.org/abs/gr-qc/9512008

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arXiv