  Since an acceptable dark matter candidate may interact only weakly with
ordinary matter and radiation, it is of interest to consider the limiting case
where the dark matter interacts only with gravity and itself, the matter
originating by the gravitational particle production at the end of inflation.
We use the bounds on the present dark mass density and the measured large-scale
fluctuations in the thermal cosmic background radiation to constrain the two
parameters in a self-interaction potential that is a sum of quadratic and
quartic terms in a single scalar dark matter field that is minimally coupled to
gravity. In quintessential inflation, where the temperature at the end of
inflation is relatively low, the field starts acting like cold dark matter
relatively late, shortly before the epoch of equal mass densities in matter and
radiation. This could have observable consequences for galaxy formation. We
respond to recent criticisms of the quintessential inflation scenario, since
these issues also apply to elements of the noninteracting dark matter picture.
