Inflationary cosmology in modified gravity theories

Abstract

We review inflationary cosmology in modified gravity such as $R^2$ gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of gravity, the quantum anomaly, and the $R^2$ term in loop quantum cosmology. It is explicitly demonstrated that in these inflationary models, the spectral index of scalar modes of the density perturbations and the tensor-to-scalar ratio can be consistent with the Planck results. Bounce cosmology in $F(R)$ gravity is also explained.

24 pages, no figure, invited review to appear in Symmetry

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• Dynamic wormhole geometries in hybrid metric-Palatini gravity
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• Cosmological Consequences of New Dark Energy Models in Einstein-Aether Gravity
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Effective equation of state in modified gravity and observational constraints
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Effects of Finite-time Singularities on Gravitational Waves
• Electrodynamics of a Cosmic Dark Fluid
• Impact of generalized dissipative coefficient on warm inflationary dynamics in the light of latest Planck data
• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background
• Vacuum states for gravitons field in de Sitter space
• K-essence in Horndeski models
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Testing new massive conformal gravity with the light deflection by black hole
• Warm inflation in Horndeski gravity
• Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity
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• Phenomenological modification of horizon temperature
• Observational constraints on thawing quintessence scalar field model