
%0 Journal Article
%A Lau, YK 
%A Prokhovnik, SJ 
%T The Large Numbers Hypothesis and a Relativistic Theory of Gravitation
%J Australian Journal of Physics
%D 1986/06/01
%V 39
%N 3
%P 339-346
%K 
%R https://doi.org/10.1071/PH860339
%U https://www.publish.csiro.au/paper/PH860339 
%X A way to reconcile Dirac's large numbers hypothesis and Einstein's theory of gravitation wasrecently suggested by Lau (1985). It is characterized by the conjecture of a time-dependentcosmological term and gravitational term in Einstein's field equations. Motivated by thisconjecture and the large numbers hypothesis, we formulate here a scalar-tensor theory in terms of an action principle. The cosmological term is required to be spatially dependent as well as time dependent in general. The theory developed is applied to a cosmological model compatible with the large numbers' hypothesis. The time-dependent form of the cosmological term and the scalar potential are then deduced. A possible explanation of the smallness of the cosmological term is also given and the possible significance of the scalar field is speculated. 
