English

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

General Relativity and Quantum Cosmology 2022-09-13 v4 High Energy Physics - Theory Classical Physics

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.

Keywords

Cite

@article{arxiv.2208.09984,
  title  = {Fractional Mimetic Dark Matter Model in Fractional Action-like Variational Approach},
  author = {C. F. L. Godinho and I. V. Vancea},
  journal= {arXiv preprint arXiv:2208.09984},
  year   = {2022}
}

Comments

17 pages. References corrected