Modified Gravity with ln R Terms and Cosmic Acceleration

By Shin'ichi Nojiri, Sergei D. Odintsov. 2003

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The modified gravity with ln R or R−n (ln R)m terms which grow at small curvature is discussed. It is shown that such a model which has a well-defined Newtonian limit may eliminate the need for dark energy and may provide the current cosmic acceleration. It is demonstrated that R2 terms are important not only for early time inflation but also to avoid the instabilities and the linear growth of the gravitational force. It is very interesting that the condition of no linear growth for gravitational force coincides with the one for scalar mass in the equivalent scalar-tensor theory to be very large. Thus, modified gravity with R2 term seems to be a viable classical theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d3b6e3cf42b3a9197adac3b61628816fddcf4de4

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Citations in the corpus

Cosmological constraints on f(R) gravity theories within the Palatini approach (2005, background): “…Skordis et al. 2006; Sellwood & Kosowsky 2001) or dark energy (Dvali et al. 2000; Deffayet 2001; Dvali & Turner 2003; Arkani-Hamed et al. 2002; Nojiri & Odintsov 2003, 2004a,b, 2005; Abdalla et al. 2005; Freese & Lewis 2002; Meng & Wang 2003; Dolgov & Kawasaki 2003; Shao et al. 2005; Gong et…”