Modified gravity with $\ln R$ terms and cosmic acceleration

Details Modified gravity with $\ln R$ terms and cosmic acceleration Modified gravity with $\ln R$ terms and cosmic acceleration

2003-08-26

arxiv.org/abs/hep-th/0308176v2

Gen.Rel.Grav.36:1765-1780,2004

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 16 pages, discussion and references are added

Scientific paper

10.1023/B:GERG.0000035950.40718.

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 well-defined newtonian limit may eliminate the need for dark energy and may provide the current cosmic acceleration. It is demonstrated that $R^2$ 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 $R^2$ term seems to be viable classical theory.

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