Revisiting Fractional Cosmology
Abstract
Recently, the research community has been exploring fractional calculus to address problems related to cosmology; in this approach, the gravitational action integral is altered, leading to a modified Friedmann equation, then the resulting theory is compared against observational data. In this context, dynamical systems can be used along with an analysis the phase spaces for different values of the fractional order of the derivative and their different matter contents. The equilibrium points are classified, providing a range for the order of the fractional derivative in order to investigate whether the cosmological history can be reconstructed and a late-time accelerating power-law solution obtained for the scale factor. In this paper, we discuss the physical interpretation of the corresponding cosmological solutions with particular emphasis on the influence of the fractional order of the derivative in a theory of gravity that includes a scalar field minimally coupled to gravity. The presented results improve and extend those obtained previously, further demonstrating that fractional calculus can play a relevant role in cosmology.
Keywords
Cite
@article{arxiv.2301.07160,
title = {Revisiting Fractional Cosmology},
author = {Bayron Micolta-Riascos and Alfredo D. Millano and Genly Leon and Cristián Erices and Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:2301.07160},
year = {2023}
}
Comments
58 pages, 8 figures. This article belongs to the Special Issue Fractional Gravity/Cosmology in Classical and Quantum Regimes https://www.mdpi.com/journal/fractalfract/special_issues/fractional_cosmology