Relativity and Cosmology

    

Proof that the Einstein’s Field Equations Are Invalid: Exposition of the Unimodular Defect

Authors: Stephen J. Crothers

Albert Einstein first presented his gravitational field equations in unimodular coordinates. In these coordinates, the field equations can be written explicitly in terms of the Einstein pseudotensor for the energy-momentum of the gravitational field. Since this pseudotensor produces, by contraction, a first-order intrinsic differential invariant, it violates the laws of pure mathematics. This is sufficient to prove that Einstein’s unimodular field equations are invalid. Since the unimodular form must hold in the General Theory of Relativity, it follows that the latter is also physically and mathematically unsound, lacking a proper mathematical foundation.

Comments: 18 Pages.

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[v1] 2022-06-16 21:04:40

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