Scalar tensor Horndeski models: simple cosmological applications

TL;DR

This paper explores a simple class of Horndeski scalar-tensor models, analyzing their cosmological solutions including inflation, bounce scenarios, and future singularities, along with perturbation behavior during inflation.

Contribution

It introduces a straightforward class of Horndeski models and investigates their cosmological solutions and perturbations, providing new insights into their inflationary and singularity behaviors.

Findings

Identified conditions for inflation and bounce solutions.

Analyzed stability of perturbations during inflation.

Explored the nature of finite future-time singularities.

Abstract

In this paper, we analyze a simple class of Horndeski scalar-tensor theory. We investigate several cosmological solutions for inflation, bounce scenario and finite future-time singuarities. Perturbations respect to Friedmann-Robertson-Walker metric are studied and discussed in the context of inflation.