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Inflationary f (R) Cosmologies

1
Center for Space Research, North-West University, Mmabatho, Mafikeng 2735, South Africa
2
Department of Physics, North-West University, Mmabatho, Mafikeng 2735, South Africa
3
Astronomy and Astrophysics Division, Entoto Observatory and Research Center, Addis Ababa 33679, Ethiopia
4
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; https://doi.org/10.3390/universe3040073
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)
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PDF [408 KB, uploaded 24 October 2017]
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Abstract

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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