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<i>f</i> ( <i>R</i> ) gravity and scalar–tensor theory

<i>f</i> ( <i>R</i> ) gravity and scalar–tensor theory

In the present paper we will investigate the relation between scalar-tensor theory and $f(R)$ theories of gravity. Such studies have been performed in the past for the metric formalism of $f(R)$ gravity; here we will consider mainly the Palatini formalism, where the metric and the connections are treated as independent …