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    Revealing the effects of curvature on the cosmological models

    Weiqiang Yang1,*, William Giarè2,3,†, Supriya Pan4,5,‡, Eleonora Di Valentino6,§, Alessandro Melchiorri7,∥, and Joseph Silk8,9,10,¶

    • 1Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China
    • 2Galileo Galilei Institute for Theoretical Physics, Centro Nazionale INFN di Studi Avanzati Largo Enrico Fermi 2, I-50125, Firenze, Italy
    • 3INFN Sezione di Roma, P.le A. Moro 2, I-00185, Roma, Italy
    • 4Department of Mathematics, Presidency University, 86/1 College Street, Kolkata 700073, India
    • 5Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban 4000, Republic of South Africa
    • 6School of Mathematics and Statistics, University of Sheffield, Hounsfield Road, Sheffield S3 7RH, United Kingdom
    • 7Physics Department and INFN, Università di Roma “La Sapienza”, Ple Aldo Moro 2, 00185, Rome, Italy
    • 8Institut d’Astrophysique de Paris (UMR7095: CNRS & UPMC- Sorbonne Universities), F-75014, Paris, France
    • 9Department of Physics and Astronomy, The Johns Hopkins University Homewood Campus, Baltimore, Maryland 21218, USA
    • 10BIPAC, Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH, United Kingdom

    • *d11102004@163.com
    • †william.giare@uniroma1.it
    • ‡supriya.maths@presiuniv.ac.in
    • §e.divalentino@sheffield.ac.uk
    • ∥alessandro.melchiorri@roma1.infn.it
    • silk@iap.fr
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    Phys. Rev. D 107, 063509 – Published 7 March, 2023

    DOI: https://doi.org/10.1103/PhysRevD.107.063509

    Abstract

    In this paper, we consider the effects of adding curvature in extended cosmologies involving a free-to-vary neutrino sector and different parametrizations of dark energy (DE). We make use of the Planck 2018 cosmic microwave background temperature and polarization data, baryon acoustic oscillations and Pantheon type Ia supernovae data. Our main result is that a nonflat Universe cannot be discarded in light of the current astronomical data, because we find an indication for a closed Universe in most of the DE cosmologies explored in this work. On the other hand, forcing the Universe to be flat can significantly bias the constraints on the equation of state of the DE component and its dynamical nature.

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    Phys. Rev. D 107, 063509– Published 7 March, 2023
    • Received 30 October 2022
    • Accepted 18 January 2023
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