Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices

Abstract

In this work, we introduce a bottom-up $F(R)$ gravity reconstruction technique, in which we fix the observational indices and we seek for the $F(R)$ gravity which may realize them. Particularly, as an exemplification of our method, we shall assume that the scalar-to-tensor ratio has a specific form, and from it we shall reconstruct the $F(R)$ gravity that may realize it, focusing on special values of the parameters in order to obtain analytical results. The observational indices we study are compatible with the latest observational data, and we discuss how the functional form of the observational indices may affect the viability of the model.

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Cited by in corpus (26)

• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Slow-roll inflation in $f(Q)$ non-metric gravity
• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• A special class of solutions in $F(R)$-gravity
• Deformed Starobinsky model in gravity's rainbow
• Reconstructing warm inflation
• Holographic correspondence of $F(R)$ gravity with/without matter fields
• Physical Parameters for Stable $f(R)$ Models
• Inflation in mimetic $f(R,T)$ gravity
• Inflation from $f(R)$ theories in gravity's rainbow
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity
• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Testing scale-invariant inflation against cosmological data
• Attractor Cosmology from non-minimally Coupled Gravity
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Cosmological dynamics of f(R) models in dynamical system analysis
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory
• Observational Constraints on Extended Starobinsky and Weyl Gravity Model of Inflation
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity
• Second-order corrections to Starobinsky inflation
• New inflationary exact solution from Lie symmetries
• Evolution of the early universe in Einstein-Cartan theory
• Reconstruction of inflation model from tensor-to-scalar ratio