f(R) Gravity and scalar-tensor theory

Details f(R) Gravity and scalar-tensor theory f(R) Gravity and scalar-tensor theory

2006-04-06

arxiv.org/abs/gr-qc/0604028v2

Class.Quant.Grav.23:5117-5128,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor changes to match published version, references added

Scientific paper

10.1088/0264-9381/23/17/003

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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