Palatini formulation of modified gravity with squared scalar curvature

Abstract

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 $a\sim t^2$.

10 pages, no figures

References in corpus (4)

• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Palatini form of 1/R gravity
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