On relativistic cosmology and on the definition of distance in general relativity

Abstract

I have applied my formulae for astronomical distance to the de Sitter world to show how they work. In view of the probability (see page 19) that the real universe approximates to the de Sitter world as regards the future and the recent past, but not as regards the remote past, the numerical results on page 83 are not reliable. But the formula (85) should give a reliable approximation when the more accurate form of (84) is established. So far as I am aware, the formula (86) has not been given before.As I have already indicated, I hope in a future investigation to apply my formulae for distance to the Expanding Universe, and see whether any corrections are needed on the numerical results which have been established.