Einstein's Energy-Free Gravitational Field

1995/12/04 by Kenneth Dalton, Dalton, Kenneth
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9512008

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

openalex publication_date 1995/12/04 · arxiv created 1998/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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