Non-interacting String and Holographic Dark Energy Cosmological Models in f(R) Theory of Gravitation

TL;DR

This paper develops a new cosmological model combining string and holographic dark energy within f(R) gravity, showing an accelerating universe with a string phase early on and current dominance of quintessence-like dark energy.

Contribution

Introduces a novel class of cosmological models in f(R) gravity using the Kasner metric, providing exact solutions and analyzing the effects on universe dynamics.

Findings

Universe is accelerating and expanding.

String phase occurs at early universe stages.

Current universe dominated by quintessence-like holographic dark energy.

Abstract

In this paper, a new class of string and holographic dark energy (HDE) cosmological model in the context of the $f(R)$ theory of gravity using the Kasner metric is considered. The exact solution of the field equations is obtained using the relation between the average scale factor and the scalar function $f(R)$. It is observed that the universe is accelerating and expanding. The string phase of the universe is present at an early stage of the evolution of the universe. The universe is dominated by quintessence type HDE at present. The effect of the curvature function $f(R)$ is also observed on dynamical parameters.