Dilaton Dark Energy Model in f(R), f(T) and Horava-Lifshitz Gravities

TL;DR

This paper investigates the behavior of dilaton dark energy within various modified gravity theories, analyzing how the dilaton potential evolves in f(R), f(T), and Horava-Lifshitz gravities, revealing contrasting potential behaviors.

Contribution

It introduces the study of dilaton dark energy in three different modified gravity frameworks, highlighting how potentials vary with the dilaton field in each theory.

Findings

In f(R) and f(T) gravities, potentials increase with the dilaton field.

In Horava-Lifshitz gravity, the potential decreases as the dilaton field increases.

The dilaton behaves as quintessence in these models.

Abstract

In this work, we have considered dilaton dark energy model in Weyl-scaled induced gravitational theory in presence of barotropic fluid. It is to be noted that the dilaton field behaves as a quintessence. Here we have discussed the role of dilaton dark energy in modified gravity theories namely, f(R); f(T) and Horava-Lifshitz gravities and analyzed the behaviour of the dilaton field and the corresponding potential in respect to these modified gravity theories instead of Einstein's gravity. In f(R) and f(T) gravities, we have considered some particular forms of f(R) and f(T) and we have shown that the potentials always increase with the dilaton fields. But in Horava-Lifshitz gravity, it has been seen that the potential always decreases as dilation field increases.