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.

References in corpus (3)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Inflationary Cosmology
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings

Cited by in corpus (16)

• Slow-roll inflation in $f(Q)$ non-metric gravity
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Deformed Starobinsky model in gravity's rainbow
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity
• Inflation from $f(R)$ theories in gravity's rainbow
• Inflation in mimetic $f(R,T)$ gravity
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Testing scale-invariant inflation against cosmological data
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Cosmological dynamics of f(R) models in dynamical system analysis
• 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
• 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