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Paul Dirac and Pascual Jordan have, decades ago, developed a theory which is based on the GTR, but regards the “gravitation constant” as a value decreasing with time  [19], p. 228: „From this, a steady increase of the world mass would result. This theory has failed so far, for reasons of a plausible explanation for the creation of new matter.”
Let me remark to this, the alternative- a spontaneous creation of the total matter shortly after big bang is neither more plausible nor more elegant.
Aside of the big bang theory, there were cosmological models which had to be taken seriously, e. g. the Steady- State- Theory, that also demanded a continuous creation of matter.
In section  4.4, Dirac’s hypothesis will be discussed further.
From  (9) and (2) we finally receive, for the average mass density:
r ~ t - 4/3 ~ R-2         (11)

As we can see, from this results the consistence of eq. (6), deduced by Einstein, in a very natural way (r ~ R -2 , h 2 ~ R-2 !).

Dependencies of important cosmic values on the now time scale

The dependencies R (t), M (t), c (t) and G (t) are shown in Fig. 4 . Fig. 5 on p. 16 shows the cosmological values for a universe age of 15 . 10 9  years.

Fig. 4: Dependency of cosmic values on the Newton time t (now time)
 
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