$f(\varphi )R$-models for inflation

Abstract

In this paper, we investigate models where a scalar field driving inflation is minimally coupled with gravity and it is subjected to a scalar potential. We present several examples of coupling between the field and gravity, and we furnish realistic models for inflation in agreement with the last Planck results.

9 pages, revised version, accepted in IJMPD

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• F(R) gravity and inflation
• Inflation in scale-invariant theories of gravity
• Singular deformations of nearly $R^2$ inflation potentials
• Viable Mimetic $F(R)$ Gravity Compatible with Planck Observations
• Inhomogeneous fluids for warm inflation
• Generalized Slow-roll Inflation in Non-minimally Coupled Theories

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• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Non-local $F(R)$-mimetic gravity
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• Brans-Dicke inflation in light of the Planck 2015 data
• Asymptotically Safe Non-Minimal Inflation
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• Testing scale-invariant inflation against cosmological data
• K-essence in Horndeski models
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Higgs Inflation in Unimodular Gravity
• Non-minimal Unimodular Inflation
• Reheating after the Higgs Inflation