  In this letter we will revise the steps followed by A. Einstein when he first
wrote on cosmology from the point of view of the general theory of relativity.
We will argue that his insightful line of thought leading to the introduction
of the cosmological constant in the equations of motion has only one weakness:
The constancy of the cosmological term, or what is the same, its independence
of the matter content of the universe. Eliminating this feature, I will propose
what I see as a simple and reasonable modification of the cosmological
equations of motion. The solutions of the new cosmological equations give place
to a cosmological model that tries to approach the Einstein static solution.
This model shows very appealing features in terms of fitting current
observations.
