  The replacement of the Poincar\'e-invariant Einstein special relativity by a
de Sitter-invariant special relativity produces concomitant changes in all
relativistic theories, including general relativity. A crucial change in the
latter is that both the background de Sitter curvature and the gravitational
dynamical curvature turns out to be included in a single curvature tensor. This
means that the cosmological term no longer explicitly appears in Einstein
equation, and is consequently not restricted to be constant. In this paper, the
Newtonian limit of such theory is obtained, and the ensuing Newtonian Friedmann
equations are show to provide a good account of the dark energy content of the
present-day universe.
