Cosmology of f(Q) gravity in non-flat Universe

Shabani, Hamid and De, Avik and Loo, Tee-How and Saridakis, Emmanuel N. (2024) Cosmology of f(Q) gravity in non-flat Universe. European Physical Journal C, 84 (3). p. 285. ISSN 1434-6044, DOI https://doi.org/10.1140/epjc/s10052-024-12582-3.

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Official URL: https://doi.org/10.1140/epjc/s10052-024-12582-3

Abstract

We investigate the cosmological implications of f(Q) gravity, which is a modified theory of gravity based on non-metricity, in non-flat geometry. We perform a detailed dynamical-system analysis keeping the f(Q) function completely arbitrary. As we show, the cosmological scenario admits a dark-matter dominated point, as well as a dark-energy dominated de Sitter solution which can attract the Universe at late times. However, the main result of the present work is that there are additional critical points which exist solely due to curvature. In particular, we find that there are curvature-dominated accelerating points which are unstable and thus can describe the inflationary epoch. Additionally, there is a point in which the dark-matter and dark-energy density parameters are both between zero and one, and thus it can alleviate the coincidence problem. Finally, there is a saddle point which is completely dominated by curvature. In order to provide a specific example, we apply our general analysis to the power-law case, showing that we can obtain the thermal history of the Universe, in which the curvature density parameter may exhibit a peak at intermediate times. These features, alongside possible indications that non-zero curvature could alleviate the cosmological tensions, may serve as advantages for f(Q) gravity in non-flat geometry.

Item Type: Article
Funders: UTAR Research Fund Scheme
Uncontrolled Keywords: Dynamical-System Analysis; F Q Gravity; Tensor; Models
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 21 Oct 2024 07:46
Last Modified: 21 Oct 2024 07:46
URI: http://eprints.um.edu.my/id/eprint/45428

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