Einstein's Energy-Free Gravitational Field

Details Einstein's Energy-Free Gravitational Field Einstein's Energy-Free Gravitational Field

1995-12-04

arxiv.org/abs/gr-qc/9512008v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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^{\mu\nu}_{;\nu} = 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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