
TY  - JOUR
A1  - Lau, YK 
A1  - Prokhovnik, SJ 
T1  - The Large Numbers Hypothesis and a Relativistic Theory of Gravitation
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1986
VL  - 39
IS  - 3
SP  - 339
EP  - 346
KW  - 
UR  - https://doi.org/10.1071/PH860339 
N2  - 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. 
ER  -

