Cosmological Constraints on Entropic Cosmology with Matter Creation

TL;DR

This paper explores entropic cosmology models with matter creation, testing various entropy forms against observations, and finds the Bekenstein model with a specific matter creation rate is highly favored over standard cosmology.

Contribution

It introduces and constrains entropic force cosmological models with matter creation, identifying the Bekenstein model as statistically preferred based on observational data.

Findings

Most models are similar to $\\Lambda$CDM

Bekenstein model with matter creation rate proportional to Hubble parameter is favored

Energy exchange parameter and matter creation rate must be very small

Abstract

We investigate entropic force cosmological models with the possibility of matter creation and energy exchange between the bulk and the horizon of a homogeneous and an isotropic flat Universe. We consider three different kinds of entropy, Bekenstein's, the non-extensive Tsallis-Cirto's and the quartic entropy, plus some phenomenological functional forms for matter creation rate to model different entropic force models and put the observational constraints on them. We show that while most of them are basically indistinguishable from a standard $\Lambda$CDM scenario, the Bekenstein entropic force model with a matter creation rate proportional to the Hubble parameter is statistically highly favored over $\Lambda$CDM. As a general result, we also find that both the Hawking temperature parameter $\gamma$, which relates the energy exchange between the bulk and the boundary of the Universe, and the matter creation rate $\Gamma(t)$, must be very small in order to reproduce observational data.