Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant

Abstract

In this paper, we consider an inflationary model of $f(R)$ gravity with polynomial form plus logarithmic term. We calculate some cosmological parameters and compare our results with the Plank 2015 data. We find that presence of both logarithmic and polynomial corrections are necessary to yield slow-roll condition. Also, we study critical points and stability of the model to find that it is a viable model.

15 pages, 9 figures

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• Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation
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• Warm Inflation with Barrow Holographic Dark Energy
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Wormhole Formation with Gravitational Particle Creation Mechanism
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools