Modified Hawking temperature and entropic force: a prescription in FRW model

TL;DR

This paper explores the connection between entropic gravity and the Friedmann equations in the FRW universe, introducing a modified Hawking temperature and entropy to derive cosmological dynamics.

Contribution

It proposes a new approach using modified Hawking temperature and entropy to derive Friedmann equations within the entropic gravity framework for the FRW model.

Findings

Modified Hawking temperature leads to altered Friedmann equations.

Bekenstein entropy is modified but can be recovered via equipartition law.

Thermodynamic consistency requires entropy modification on the horizon.

Abstract

The idea of Verlinde that gravity is an entropic force caused by information changes associated with the positions of material bodies, is used in the present work for the FRW model of the Universe. Using modified Hawking temperature, the Friedmann equations are derived on any horizon. For the validity of the first law of thermodynamics (i.e., Clausius relation) it is found that there is modification of Bekenstein entropy on the horizon. However, using equipartition law of energy, Bekenstein entropy is recovered.