Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing
attention to Einstein's other theory of gravity. In this Review, we give a comprehensive …

Singularities in any physical theory are either remarkable indicators of the unknown
underlying fundamental theory, or indicate a change in the description of the physical reality …

We review different dark energy cosmologies. In particular, we present the Λ CDM
cosmology, Little Rip and Pseudo-Rip universes, the phantom and quintessence …

The classical generalization of general relativity is considered as the gravitational alternative
for a unified description of the early-time inflation with late-time cosmic acceleration. The …

We review in detail a number of approaches that have been adopted to try and explain the
remarkable observation of our accelerating universe. In particular we discuss the arguments …

We review various modified gravities considered as gravitational alternative for dark energy.
Specifically, we consider the versions of f (R), f (G) or f (R, G) gravity, model with non-linear …

We review the paradigm of quintom cosmology. This scenario is motivated by the
observational indications that the equation-of-state of dark energy across the cosmological …

The properties of future singularities are investigated in the universe dominated by dark
energy including the phantom-type fluid. We classify the finite-time singularities into four …

The unifying approach to early-time and late-time universe based on phantom cosmology is
proposed. We consider gravity-scalar system which contains usual potential and scalar …

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity
where an arbitrary function of the GB invariant, f (G), is added to the general relativity action …