A note on dark matter and dark energy

Abstract

Since the geometry of our universe seems to depend very little on baryonic matter, we consider a variational principle involving only dark matter and dark energy which in addition make them depend on each other. There are no adjustable parameters or scalar fields with appropriate equations of state. No quintessence. For a pressure-less, three-flat FRW model, the cosmological "constant" is now a function of time, positive by definition and always small. Its time derivative or rather its associated parameter w is always negative and close to minus one. The most interesting point is that the age of the universe and w itself are correlated. Moreover, this rather unsophisticated model provides a very limited range for both these quantities and results are in surprising agreement with observed values. The problem of vacuum energy remains what it was; the problem of coincidence is significantly less annoying.