Entropic force and bouncing behaviour in $κ$-Minkowski space-time

Abstract

We generalise the entropic force description of gravity into $κ$-Minkowski space-time and derive the $κ$-deformed corrections to the Newton's gravitational force. Using this we show the appearance of logarithmic correction as the first order $κ$-deformed correction term to Bekenstein-Hawking entropy. Further we also derive the $κ$-deformed Friedmann equations and study the evolution of scale factor in $κ$-deformed space-time. Finally we show that the $κ$-deformation parameter avoids the initial singularity in early universe by providing a bounce behaviour for the case of spatially flat and closed universe.