An effective cosmological constant from an entropic formulation of gravity

In this work, we study a Friedmann-Robertson-Walker (FRW) universe derived from a modified entropy-area relationship. By applying the first law of thermodynamics to the so-called apparent horizon and a modified entropy-area relationship, we obtain a modified Friedmann equation. Solving this model for a perfect fluid with vanishing cosmological constant, we find that for early times, the scale factor is the same as that of an FRW universe. In the late-time regime, although the cosmological constant is zero, the asymptotic behavior of the scale factor is exponential, and therefore, we can identify an effective cosmological constant. The origin of the effective cosmological constant can be traced to the modifications of the entropy-area relation.