Do current observations support transient acceleration of our universe?
  In the present article we have investigated a very natural question regarding
the dynamics of the universe, namely, the possibility of its decelerating phase
immediately after the present accelerating phase. To begin with, we have
focused on the matter creation theory which is considered to be a viable
alternative to dark energy and modified gravity models. Moreover, we have
introduced the cosmographic approach which allows us to express the free
parameters of a cosmological model in terms of the known cosmographic
parameters. Assuming a generalized matter creation rate we have discussed the
theoretical bounds on the model parameters allowing the future deceleration of
the universe. Moreover, using the observational bounds on the cosmographic
parameters obtained from the low redshifts observational probes, we have also
examined the chance of a decelerating phase of the universe. Finally,
considering a variety of known cosmological models and parametrizations, we
have tested the same possibility. Our analysis shows that the chance of a
future decelerating expansion of the universe is highly dependent on the choice
of the cosmological models and parametrizations and also on the observational
data. Even though the future decelerating expansion is allowed in some
cosmological frameworks, but we do not see any strong evidence in favor of
this. Perhaps, the future cosmological surveys could offer some more
information regarding the fate of the universe.
