Fractional Scalar Field Cosmology

Autor: Rasouli, S. M. M., Cheraghchi, S., Moniz, P. V.
Rok vydání: 2024
Předmět:
Zdroj: Fractal Fract. 2024, 8, 281
Druh dokumentu: Working Paper
DOI: 10.3390/fractalfract8050281
Popis: Considering the Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) metric and the Einstein scalar field system as an underlying gravitational model to construct fractional cosmological models has interesting implications in both classical and quantum regimes. Regarding the former, we just review the most fundamental approach to establishing an extended cosmological model. We demonstrate that employing new methodologies allows us to obtain exact solutions. Despite the corresponding standard models, we cannot use any arbitrary scalar potentials; instead, it is determined from solving three independent fractional field equations. This article concludes with an overview of a fractional quantum/semi-classical model that provides an inflationary scenario.
Comment: 15 pages
Databáze: arXiv
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