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arxiv: gr-qc/0604028 · v2 · submitted 2006-04-06 · 🌀 gr-qc · astro-ph· hep-th

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f(R) Gravity and scalar-tensor theory

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classification 🌀 gr-qc astro-phhep-th
keywords gravityscalar-tensortheorywillformalisminvestigatemetrictheories
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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 quantities. We will try to investigate under which circumstances $f(R)$ theories of gravity are equivalent to scalar-tensor theory and examine the implications of this equivalence, when it exists.

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