Entropic force law in the presence of a noncommutative inspired space–time for a solar system scale

Abstract

We first study some aspects of a physically inspired noncommutative spherically symmetric space–time based on the Gaussian-smeared mass distribution for a solar system scale. This leads to the elimination of a singularity apparent in the origin of the space–time. Afterwards, we investigate some features of Verlinde’s scenario in the presence of the mentioned space–time and derive several quantities, such as Unruh–Verlinde temperature, the energy, and the entropic force on three different types of holographic screens, namely, the static, the stretched horizon, and the accelerating surface.