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. - In two previous articles,(1,2) I have shown that there is a possibility of relating the annihilation of matter in the universe to the observed red shift in the light from the extra-galactic nebulae, by ascribing to the universe a line element of the general form ds^2 = - e^g(t)/[1 + r2/4R^2]^2 * (dx^2 + dy^2 + dz^2) + dt^2, where r is an abbreviation for √(x^2+y^2+z^2) and R is a constant.

ON THE ESTIMATION OF DISTANCES IN A CURVED UNIVERSE WITH A NON-STATIC LINE ELEMENT