Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale

Abstract

We first study some aspects of a physically inspired kind of a noncommutative spherically symmetric spacetime based on the Gaussian-smeared mass distribution for a solar system scale. This leads to the elimination of a singularity appeared in the origin of the spacetime. Afterwards, we investigate some features of Verlinde's scenario in the presence of the mentioned spacetime 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.