2017/09/14 by Heba Sami, Sami, Heba, Joseph Ntahompagaze +3
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1709.04860
This paper discusses a simple procedure to reconstruct f (R)-gravity models from exact cosmological solutions of the Einstein field equations with a noninteracting classical scalar field-and-radiation background. From the kind of inflationary scenario we want, 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 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 them to the Planck data.