Doomsdays in a modified theory of gravity: A classical and a quantum
  approach
  By far cosmology is one of the most exciting subject to study, even more so
with the current bulk of observations we have at hand. These observations might
indicate different kinds of doomsdays, if dark energy follows certain patterns.
Two of these doomsdays are the Little Rip (LR) and Little Sibling of the Big
Rip (LSBR). In this work, aside from proving the unavoidability of the LR and
LSBR in the Eddington-inspired-Born-Infeld (EiBI) scenario, we carry out a
quantum analysis of the EiBI theory with a matter field, which, from a
classical point of view would inevitably lead to a universe that ends with
either LR or LSBR. Based on a modified Wheeler-DeWitt equation, we demonstrate
that such fatal endings seems to be avoidable.
