A long freeze is hard to achieve in the presence of matter

Abstract

Certain holographic dark energy (HDE) models allow for the possibility of a ``long freeze,'' in which the scale factor evolves to a constant in the long-time limit. Here we extend previous calculations by adding a nonrelativistic matter component. The addition of a matter component tends to destroy the long freeze behavior, driving the universe to recollapse. Long freeze evolution is still possible, but only for a limited set of HDE models.