Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?

By Stephen A. Appleby, R. Battye. 2007

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Abstract Modified gravity models are subject to a number of consistency requirements which restrict the form that the function F ( R ) can take. We study a particular class of F ( R ) functions which satisfy various constraints that have been found in the literature. These models have a late time accelerating epoch, and an acceptable matter era. We calculate the Friedmann equation for our models, and show that in order to satisfy the constraints we impose, they must mimic general relativity plus Λ throughout the cosmic history, with exponentially suppressed corrections. We also find that the free parameters in our model must be fine tuned to obtain an acceptable late time accelerating phase. We discuss the generality of this conclusion.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/272099389c30c345e8cad8b24ca42612a3eab6a9

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Citations in the corpus

f(R) Theories Of Gravity (2008, background): “This originated various efforts to constrain f(R) gravity with cosmic microwave background data (Amendola and Tsujikawa, 2008; Appleby and Battye, 2007; Carloni et al., 2008b; Hu and Sawicki, 2007b; Li and Barrow, 2007; Li et al., 2007a; Pogosian and Silvestri, 2008; Starobinsky, 2007; Tsujikawa,…”
Cosmological tests of modified gravity (2015, background): “Like the quintessence models, a choice of the function f(R) leads to many models but the successful models for the late time cosmology share the same features [46, 48, 49].”