arXiv · gr-qc/0604028
f(R) Gravity and scalar-tensor theory
Abstract
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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Thomas P. Sotiriou. 2006-08-05. f(R) Gravity and scalar-tensor theory. https://doi.org/10.1088/0264-9381%2F23%2F17%2F003
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