Zero mass surfaces and cosmological singularities

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Abstract
Some non-singular cosmological models in the conformally invariant gravitation theory of Hoyle & Narlikar are presented. It is shown that each of these solutions contains a three-surface on which particle masses vanish. Upon transformation to a conformal frame, in which the Hoyle–Narlikar equations reduce to Einstein's equations, it is shown that each of the non-singular models reduces to some standard relativistic cosmological model with the zero mass surface showing up as a space-time singularity.

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