Palatini formulation of modified gravity with squared scalar curvature

Details Palatini formulation of modified gravity with squared scalar curvature Palatini formulation of modified gravity with squared scalar curvature

2003-08-17

arxiv.org/abs/astro-ph/0308284v5

Astronomy and Astrophysics

Astrophysics

10 pages, no figures

Scientific paper

10.1023/B:GERG.0000048981.40061.

In this paper we derive the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity. Then we use it to discuss the problem of whether in Palatini formulation a $R^2$ term can drive an inflation. We show that the Palatini formulation of $R^2$ gravity cannot lead to gravity-driven inflation. If considering no zero radiation and matter energy densities, we show that only under rather restrictive assumption about the radiation and matter energy densities there will be a mild power-law inflation $a\sim t^2$.

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