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Inflationary f (R) Cosmologies

Center for Space Research, North-West University, Mmabatho, Mafikeng 2735, South Africa
Department of Physics, North-West University, Mmabatho, Mafikeng 2735, South Africa
Astronomy and Astrophysics Division, Entoto Observatory and Research Center, Addis Ababa 33679, Ethiopia
Department of Physics, College of Science and Technology, University of Rwanda, Kigali 3900, Rwanda
Author to whom correspondence should be addressed.
Universe 2017, 3(4), 73;
Received: 14 September 2017 / Revised: 6 October 2017 / Accepted: 16 October 2017 / Published: 24 October 2017
(This article belongs to the Special Issue F(R) Gravity)
PDF [408 KB, uploaded 24 October 2017]


This paper discusses a simple procedure to reconstruct f ( R ) -gravity models from exact cosmological solutions of the Einstein field equations with a non-interacting classical scalar field-and-radiation background. From the type of inflationary scenario we are interested in, we show how the potential functions can be obtained. We then show how an f ( R ) gravitational Lagrangian density that mimics the same cosmological expansion as the scalar field-driven inflation of general relativity (GR) can be reconstructed. As a demonstration, we calculate the slow-roll parameters (the spectral index n s and the tensor-to-scalar ratio r) and compare these to the Planck data. View Full-Text
Keywords: f (R) gravity; scalar field; inflation f (R) gravity; scalar field; inflation

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Sami, H.; Ntahompagaze, J.; Abebe, A. Inflationary f (R) Cosmologies. Universe 2017, 3, 73.

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