Early and late time cosmology: the f(R) gravity perspective
Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Napoli, Italy
2 Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Via Cinthia, 80126, Napoli, Italy
3 Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia, 80126, Napoli, Italy
Accepted: 21 October 2022
Published online: 14 November 2022
Discrepancies between observations at early and late cosmic epochs, and the vacuum energy problem associated with the interpretation of cosmological constant, are questioning 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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