On a Supplement to the Field Equations with an Application to Cosmology

Mathematics – Logic

Scientific paper

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Scientific paper

The addition of a set of plausible equations (the supplemental equations) to the field equations of general relativity makes possible the construction of a cosmological model possessing the postulated features of the Weyl-Robertson kind together with the consequence of a "stationary" universe. The red shift phenomenon is still explainable as caused by velocity shifts via the deduction of a pseudo-variable function entailed by the consistency conditions between the two sets of equations. Under the assumptions of the smallness of the cosmological constant and the curvature, the proper constant density of energy T44 is found to be connected with the recession factor k by the formula 8πT44=3k2.

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