Induced gravity and cosmological principle

TL;DR

This paper explores how induced gravity models can phenomenologically describe cosmological particle production, linking it to the universe's invisible components and showing equivalence to a specific $f(R)$-gravity model.

Contribution

It demonstrates that induced gravity with particle production can be interpreted as an invisible universe component and is equivalent to a particular $f(R)$-gravity model.

Findings

Particle production can be modeled as an invisible universe component.

The model is equivalent to $f(R)$-gravity with $f \,\propto R^{3/2}$.

A gauge exists that restores General Relativity within this framework.

Abstract

The phenomenological description of the cosmological particle production in the framework of the induced gravity is investigated. It appears that the source terms with the particle number density in the creation law can be interpreted as the invisible part of the Universe. It is shown that there is a gauge that restores the General Relativity in which our model is equivalent to the $f(R)$-gravity for $f \propto R^{\frac{3}{2}}$