Dark Energy, Induced Gravity and Broken Scale Invariance

TL;DR

This paper investigates a cosmological model with a scalar field that induces gravity, demonstrating it naturally evolves towards Einstein gravity with a cosmological constant, making it a viable dark energy candidate.

Contribution

It introduces a self-interacting scalar field model with matter and radiation, showing it leads to stable Einstein gravity plus a cosmological constant as an attractor.

Findings

Model results in Einstein gravity plus cosmological constant as a stable attractor

Compatible with a wide range of initial conditions and scalar field parameters

Supports the viability of the model as a dark energy explanation

Abstract

We study the cosmological evolution of an induced gravity model with a self-interacting scalar field $\sigma$ and in the presence of matter and radiation. Such model leads to Einstein Gravity plus a cosmological constant as a stable attractor among homogeneous cosmologies and is therefore a viable dark-energy (DE) model for a wide range of scalar field initial conditions and values for its positive $\gamma$ coupling to the Ricci curvature $\gamma \sigma^{2}R$.