Fractional Action Cosmology: Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe

TL;DR

This paper explores various dark energy models within Fractional Action Cosmology, reconstructing scalar fields and potentials across different universe expansion scenarios to better understand cosmic evolution.

Contribution

It introduces a comprehensive reconstruction of multiple scalar fields and potentials in fractional cosmology across emergent, logamediate, and intermediate scenarios, offering new insights into dark energy behavior.

Findings

Reconstructed scalar potentials for quintessence, phantom, tachyon, and other fields.

Analyzed the variation of scalar fields and potentials over time in different expansion scenarios.

Provided a unified framework for understanding dark energy models in fractional cosmology.

Abstract

In the framework of Fractional Action Cosmology, we have reconstructed the scalar potentials and scalar fields, namely, quintessence, phantom, tachyon, k-essence, DBI-essence, Hessence, dilaton field and Yang-Mills field. To get more physical picture of the variation of the scalar field and potential with time, we express scale factor in emergent, logamediate and intermediate scenarios, under which the Universe expands differently.