Abstract

The Cosmological Solutions of General Relativity give three isotropic homogeneous cosmological models determined by the curvature of three space (k = 0, +1, −1). In the mass integral formulation of Hoyle & Narlikar, the differential form of the theory is identical to General Relativity but because of the integral form of the mass field, these solutions must satisfy a self-consistency condition. By mapping the k = −1 model into the uniformly expanding Milne model, the mass integral is evaluated and shown to be self-consistent. Thus this formulation of General Relativity does not uniquely determine the Cosmological Solution.

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