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Cited by 319

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Metric-affine f(R) theories of gravity

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Sotiriou, Thomas P., Liberati, Stefano·2007·Annals of Physics

Abstract

Abstract General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the connections are taken as independent quantities. The metric-affine theory of gravity has attracted considerable attention recently, since it was shown that within this framework some cosmological models, based on some generalized gravitational actions, can account for the current accelerated expansion of the universe. However we think that metric-affine gravity deserves much more attention than that related to cosmological applications and so we consider here metric-affine gravity theories in which the gravitational action is a general function of the scalar curvature while the matter action is allowed to depend also on the connection which is not a priori symmetric. This general treatment will allow us to address several open issues such as: the relation between metric-affine f(R) gravity and General Relativity (in vacuum as well as in the presence of matter), the implications of the dependence (or independence) of the matter action on the connections, the origin and role of torsion and the viability of the minimal-coupling principle.

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Metadata

Authors
Sotiriou, T. P., & Liberati, S.
Venue
Annals of Physics
Publisher
Elsevier BV
Published
2007-04
Volume
322
Issue
4
Pages
935-966
ISSN
0003-4916 (ISSN-L)
OpenAlex
W2055392659
Cited by
319
References
5
FWCI
13.31
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Metric-affine f(R) theories of gravity. https://app.cochat.ai/papers/10.1016/j.aop.2006.06.002
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Sotiriou, T. P., & Liberati, S. (2007). Metric-affine f(R) theories of gravity. Annals of Physics. https://doi.org/10.1016/j.aop.2006.06.002

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