Fractional Mimetic Dark Matter Model in Fractional Action-like Variational Approach

TL;DR

This paper introduces a novel fractional mimetic dark matter model using the fractional action-like variational approach, analyzing its equations of motion and deriving the geometry of fractional space-time.

Contribution

It develops a new non-local fractional dark matter model and provides exact solutions for its equations of motion and geometric structure.

Findings

Derived the metric of fractional physical space-time

Solved equations of motion for non-fractional and fractional cases

Analyzed the geometrical objects in both models

Abstract

In this paper, we propose a new model of fractional mimetic dark matter based on the fractional action-like variational approach FALVA implementation of fractionality. The model is non-local at classical level and its equations of motion are highly non-linear. We discuss two particular cases of non-fractional and fractional mimetic dark fields and solve completely the equations of motion of these models. In particular, we obtain the metric of the fractional physical space-time. Also, we obtain the basic geometrical objects in the two cases.