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Early and late time cosmology: the f(R) gravity perspective

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Abstract

Discrepancies between observations at early and late cosmic epochs, and the vacuum energy problem associated with the interpretation of cosmological constant, are questioning \(\Lambda\)CDM model. Motivated by these conceptual and observational facts, extensions of Einstein’s gravity are recently intensively considered in view of curing unsolved issues suffered by General Relativity at ultraviolet and infrared scales. Here, we provide a short overview of some aspects of f(R) gravity, focusing, in particular, on cosmological applications. Specifically, Noether symmetries are adopted as a criterion to select viable models and investigate the corresponding dynamics. We thus find solutions to the cosmological field equations, analysing the behaviour of selected models from the matter-dominated to the present epoch. Moreover, constraints coming from energy conditions and the so-called swampland criteria are also considered. In particular, we qualitatively discuss the possibility of f(R) gravity to account for fixing cosmic tensions.

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Data Availability Statement

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Notes

  1. The quoted value is reported in the Planck full grid available at http://pla.esac.esa.int/pla/#cosmology

  2. \(q = -0.81\), \(j = 2.16\) and \(s = -0.22\).

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Acknowledgements

The authors acknowledge Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, iniziative specifiche GINGER, MOONLIGHT2, QGSKY and TEONGRAV. V.D.F. acknowledges Gruppo Nazionale di Fisica Matematica of Istituto Nazionale di Alta Matematica for the support.

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Authors and Affiliations

  1. Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Napoli, Italy

    Francesco Bajardi, Rocco D’Agostino, Micol Benetti, Vittorio De Falco & Salvatore Capozziello

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Via Cinthia, 80126, Napoli, Italy

    Francesco Bajardi, Rocco D’Agostino, Micol Benetti, Vittorio De Falco & Salvatore Capozziello

  3. Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia, 80126, Napoli, Italy

    Salvatore Capozziello

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  1. Francesco Bajardi
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Correspondence to Francesco Bajardi.

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Bajardi, F., D’Agostino, R., Benetti, M. et al. Early and late time cosmology: the f(R) gravity perspective. Eur. Phys. J. Plus 137, 1239 (2022). https://doi.org/10.1140/epjp/s13360-022-03418-8

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