f(R) gravity and scalar–tensor theory

By T. Sotiriou. 2006

335 citations recorded by the source corpus.

In the present paper, we will investigate the relationship 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/acfb86d2cb1c8eb8910913a9131ebe6b9f548332

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Citations in the corpus

f(R) Theories (2010, methodology): “Then f (R) theory in the Palatini formalism corresponds to BD theory with ωBD = −3/2 [262, 470, 551].”
On the Hubble Constant Tension in the SNe Ia Pantheon Sample (2021, methodology): “…another possible explanation relies on modified theories of gravity, thus requiring the use of a function of the Ricci scalar f (R), instead of R, which is the usual gravitational Lagrangian density (Sotiriou 2006; Nojiri & Odintsov 2007; Sotiriou & Faraoni 2010; Capozziello & De Laurentis 2011).”
On the Evolution of the Hubble Constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: A Feasibility Study for GRB-Cosmology in 2030 (2022, background): “The most natural extended framework is the f (R)-gravity proposal [162,163,167,381] which contains only an additional scalar degree of freedom.”
f(R) Theories Of Gravity (2008, methodology): “Palatini f(R) gravity can also be cast in the form of a Brans–Dicke theory with a potential (Flanagan, 2004b; Olmo, 2005b; Sotiriou, 2006b).”