  This paper contains a detailed discussion on new cosmic solutions describing
the early and late evolution of a universe that is filled with a kind of dark
energy that may or may not satisfy the energy conditions. The main distinctive
property of the resulting space-times is that they make to appear twice the
single singular events predicted by the corresponding quintessential (phantom)
models in a manner which can be made symmetric with respect to the origin of
cosmic time. Thus, big bang and big rip singularity are shown to take place
twice, one on the positive branch of time and the other on the negative one. We
have also considered dark energy and phantom energy accretion onto black holes
and wormholes in the context of these new cosmic solutions. It is seen that the
space-times of these holes would then undergo swelling processes leading to big
trip and big hole events taking place on distinct epochs along the evolution of
the universe. In this way, the possibility is considered that the past and
future be connected in a non-paradoxical manner in the universes described by
means of the new symmetric solutions.
