Is the future universe singular: Dark matter versus modified gravity?

The fundamental problem of the occurrence/renloval of finite-time future singularity in the universe evolution for coupled Dark Energy (DE) is addressed It is demonstrated the existence of the (instable or local minimum) de Sitter space Solution Which may cure the Type II or Type IV future singularity for DE coupled with DM as the result of timing the initial conditions In case of phantom DE, the corresponding coupling may help to resolve the coincidence problem but not the Big Rip (Type 1) singularity issue We show that modified gravity of special form or inhomogeneous DE fluid may offer the universal scenario to Cure the Type I, II, III or IV future singularity of coupled (fluid or scalar) DE evolution (C) 2010 Elsevier B V All rights reserved