Entropic force, running gravitational coupling and future singularities

preprint2014arXivOpen access

Abstract

The effects of a running gravitational coupling and the entropic force on future singularities are considered. Although it is expected that the quantum corrections remove the future singularities or change the singularity type, treating the running gravitational coupling as a function of energy density is found to cause no change in the type of singularity but causes a delay in the time that a singularity occurs. The entropic force is found to replaces the singularity type IIII by IIIˉ\bar{III} (a=a=const., H=H=const., H˙→∞\dot{H} \to \infty, p→∞p \to \infty, ρ→∞ρ\to \infty) which differs from previously known type IIIIII and to remove the ww-singularity. We also consider an effective cosmological model and show that the types II and IIII are replaced by the singularity type IIIIII.

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