Black holes, cosmological solutions, future singularities, and their
  thermodynamical properties in modified gravity theories
  Along this review, we focus on the study of several properties of modified
gravity theories, in particular on black-hole solutions and its comparison with
those solutions in General Relativity, and on
Friedmann-Lemaitre-Robertson-Walker metrics. The thermodynamical properties of
fourth order gravity theories are also a subject of this investigation with
special attention on local and global stability of paradigmatic f(R) models. In
addition, we revise some attempts to extend the Cardy-Verlinde formula,
including modified gravity, where a relation between entropy bounds is
obtained. Moreover, a deep study on cosmological singularities, which appear as
a real possibility for some kind of modified gravity theories, is performed,
and the validity of the entropy bounds is studied.
