Asymptotic freedom from induced gravity cosmology

TL;DR

This paper explores conditions under which scalar-tensor gravity theories exhibit asymptotic freedom in cosmology, leading to singularity-free solutions where the effective gravitational constant vanishes in the distant past and approaches Newton's constant in the future.

Contribution

It demonstrates how asymptotic freedom can be realized in scalar-tensor cosmologies with singularity-free solutions and specific behavior of the effective gravitational constant.

Findings

Effective gravitational constant approaches zero as time goes to negative infinity.

Solutions are singularity free in flat FRW spacetimes.

In some solutions, $G_{eff}$ approaches $G_N$ as time goes to infinity.

Abstract

We give conditions to obtain cosmological asymptotic freedom in scalar-tensor theories of gravity. We show that this feature can be achieved in FRW flat spacetimes since we obtain singularity free solutions where the effective gravitational constant $G_{eff}\rightarrow 0$ for $t\rightarrow -\infty$ and, for some of them, $G_{eff}\rightarrow G_{N}$ for $t\rightarrow\infty$, where $G_{N}$ is the Newton constant.