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

Abstract

Discrepancies between observations at early and late cosmic epochs, and the vacuum energy problem associated with the interpretation of cosmological constant, are questioning the $\Lambda$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, analyzing 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.

11 pages, 1 figure, Accepted for publication in EPJP

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Cited by in corpus (18)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Questioning the $H_0$ tension via the look-back time
• Reconstruction of an Observationally Constrained $f(R,T)$ gravity model
• A critical discussion on the $H_0$ tension
• Addressing Cosmological Tensions by Non-Local Gravity
• Geometric and topological corrections to Schwarzschild black hole
• Exploring departures from Schwarzschild black hole in $f(R)$ gravity
• Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in non-linear Maxwell f (R) Gravity
• Cosmic voids and the kinetic analysis. III. Hubble tension and structure formation in the late Universe
• New one-parametric extension of the Starobinsky inflationary model
• Cosmic voids and the kinetic analysis. IV. Hubble tension and the cosmological constant
• Dark matter effects in modified teleparallel gravity
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• From minimal-length quantum theory to modified gravity
• Scheme of integration of vacuum $F(R)$ gravity in a travelling wave variable
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory