The inflationary scenario in the $f(R)$ gravity model with a $R^4$ term

Abstract

We investigate the cosmic inflation scenario of a specific $f(R)$ model that contains more than one higher-order term in $R$. The $f(R)$ considered here has the terms $R^2$, $R^3$, and $R^4$ along with the linear term. A rigorous investigation has been carried out in the presence of these higher-order terms to figure out whether it leads to a physically sensible cosmic inflationary model. We examine in detail, subject to which conditions this $f(R)$ model renders a viable inflationary scenario, and it has been found that the outcomes of our study agree well with the recent PLANCK results.

arXiv commentPublished version; 14 pages, 7 figures

References in corpus (37)

• f(R) Theories Of Gravity
• f(R) theories
• Planck 2018 results. X. Constraints on inflation
• The Standard Model Higgs boson as the inflaton
• Towards the Theory of Reheating After Inflation
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Universality Class in Conformal Inflation
• Formalising the Slow-Roll Approximation in Inflation
• Superconformal Inflationary $\alpha$-Attractors
• Largest temperature of the radiation era and its cosmological implications
• How long before the end of inflation were observable perturbations produced?
• COBE, Gravitational Waves, Inflation and Extended Inflation
• Further stable neutron star models from f(R) gravity
• First CMB Constraints on the Inflationary Reheating Temperature
• A universal attractor for inflation at strong coupling
• Comments on the Starobinsky Model of Inflation and its Descendants
• Nearly Starobinsky inflation from modified gravity
• A polynomial f(R) inflation model
• Thermalization after/during Reheating
• The Observational Status of Cosmic Inflation after Planck
• Embedding (R+R^2)-Inflation into Supergravity
• Thermalization Process after Inflation and Effective Potential of Scalar Field
• Inflation after Planck: Judgment Day
• A new approach to reconstruction methods in $f(R)$ gravity
• Solving higher curvature gravity theories
• Starobinsky-like inflation from induced gravity
• Beyond the Starobinsky model for inflation
• Reheating Temperature and Inflaton Mass Bounds from Thermalization After Inflation
• Inflection point inflation and reheating
• Reheating after f(R) inflation
• Unitary inflaton as decaying dark matter
• Thermalization After Inflation and Reheating Temperature
• Slow-roll inflation in (R+R*4) gravity
• Topological inflation from the Starobinsky model in supergravity
• A viable logarithmic f(R) model for inflation
• Inflation from $(R+\gamma R^n-2\Lambda )$ Gravity in Higher Dimensions
• Inflation from higher dimensions

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