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Is a cosmological substratum compatible with relativity?

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Abstract

A cosmological substratum for energy propagation is defined in terms of a hypothesis by McCrea. It has been shown that the assumption of such a substratum for a uniformly expanding universe provides a cosmological interpretation of Special Relativity, and leads further to a theory of gravitation in terms of a universal acceleration field. Following a critical discussion of the bases of General Relativity, it is suggested that the proposed substratum model and its consequences are also compatible with the General Relativistic approach, providing that this is applied in a manner which recognises the centrally directed character of gravitational fields, and hence employs harmonic coordinates as proposed by Fock. It is shown that Fock's procedure leads to results which are consistent with the assumption of a uniformly expanding cosmological substratum. Finally, it is suggested that the cosmological substratum concept is also implied by the formulation of the Robertson-Walker metric.

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  1. School of Mathematics, University of New South Wales, Box 1, P.O., 2033, Kensington, N.S.W., Australia

    S. J. Prokhovnik

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  1. S. J. Prokhovnik
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Prokhovnik, S.J. Is a cosmological substratum compatible with relativity?. Int J Theor Phys 9, 291–303 (1974). https://doi.org/10.1007/BF01811232

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