Testing logarithmic corrections on $R^2$-exponential gravity by observational data

Abstract

This paper is devoted to the analysis of a class of $F(R)$ gravity, where additional logarithmic corrections are assumed. The gravitational action includes an exponential term and a $R^2$ inflationary term, both with logarithmic corrections. This model can unify an early time inflationary era and also the late time acceleration of the universe expansion. This model is deeply analysed, confronting with recent observational data coming from the largest Pantheon Type Ia supernovae sample, the latest measurements of the Hubble parameter $H(z)$, manifestations of Baryon Acoustic Oscillations and Cosmic Microwave Background radiation. The viability of the model is studied and the corresponding constraints on the free parameters are obtained, leading to an statistical analysis in comparison to $\Lambda$CDM model. The inflationary era is also analysed within this model and its compatibility with the latest observational data for the spectral index of primordial curvature perturbations and the scalar-to-tensor ratio. Finally, possible corrections on the Newton's law and constraints due to primordial nucleosynthesis are analysed.

18 pages, 4 figures, analysis extended, version accepted for publication in PRD

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• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Analyzing the $H_0$ tension in $F(R)$ gravity models
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• From a Bounce to the Dark Energy Era with $F(R)$ Gravity
• Testing the equation of state for viscous dark energy
• Modelling and testing the equation of state for (Early) dark energy
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Modified gravity with an exponential function of curvature
• Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations
• Modified Equations of State for Dark Energy and Observational Limitations
• Modified gravity with disappearing cosmological constant
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• Viability tests of \textit{f(R)}-gravity models with Supernovae Type 1A data
• Cosmological models, observational data and tension in Hubble constant
• Off-diagonal solutions in Einsteingravity modeling f(R) gravity and dynamical darkenergy vs Lambda CDM cosmology
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• $\Lambda$CDM without cosmological constant
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• Leptogenesis in exponential $f(R)$ gravity model