Entropic force, running gravitational coupling and future singularities

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 $II$ by $\overline{III}$ ($a=$const., $H=$const., $\dot{H}\to \infty$, $p\to \infty$, $\rho \to \infty$) which differs from previously known type $III$ and to remove the $w$-singularity. We also consider an effective cosmological model and show that the types $I$ and $II$ are replaced by the singularity type $III$.

7 pages, 5 figures, references added

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Cited by in corpus (6)

• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
• Dark energy and dark matter perturbations in singular universes
• Planck-Scale Corrections to Friedmann Equation
• Dynamical behavior of the Universe: an entropic force scenario
• Implications of maximum acceleration on dynamics