Cosmic Evolution in Fractional Action Cosmology

TL;DR

This paper explores exact solutions in fractional action cosmology, analyzing a quasi-vacuum universe with specific cosmological term laws, and derives the effective equation of state and deceleration parameter.

Contribution

It introduces new exact solutions in fractional action cosmology using a novel ansatz for the cosmological term and analyzes their physical implications.

Findings

Exact solutions for fractional action cosmology are obtained.

A formula for the effective equation of state is derived.

The deceleration parameter of the models is studied.

Abstract

For the fractional action cosmological model, derived earlier by the author from the variational principle for a fractional action functional, the exact solutions are obtained. The case of a quasi - vacuum state of matter that fills the universe is considered. Moreover, on the basis of specific ansatz proposed in this paper for the cosmological term, the class of exact solutions of the model equations is obtained. Examples for some given laws of the cosmological term evolution are provided. Besides, a formula for the effective equation of state is derived, and the deceleration parameter of the obtained models is studied.