The view of chaotic inflationary universe from f ( R ) $f(R)$ gravity

Abstract

This paper is devoted to study the chaotic inflationary scenario for isotropic and homogeneous flat universe model in the framework of \(f(R)\) gravity. We investigate different chaotic potential models such as quadratic, quartic and fractional potentials. We explore quasi-de Sitter solutions and formulate bounding values of inflaton field for each model. We evaluate slow-roll parameters, number of e-folds and other significant observational parameters like spectral index, scalar power spectrum as well as tensor-scalar ratio and discuss their consistency with Planck constraints. It is concluded that all considered models are compatible with Planck data whereas the value of tensor-scalar ratio is larger than Planck’s result but for quadratic potential, the measured value is very close to Planck constraint.