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Metric-affine f(R) theories of gravity
Open accessAbstract
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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Cites
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Quantum Fields in Curved Space
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General relativity with spin and torsion: Foundations and prospects
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Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Self-citationUnified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models
Nojiri, S., & Odintsov, S. D. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.04.001 · Cited by 4,366
Models off(R)cosmic acceleration that evade solar system tests
Hu, W., & Sawicki, I. (2007) · Physical Review D · doi:10.1103/physrevd.76.064004 · Cited by 1,736
Beyond the cosmological standard model
Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
Extra force inf(R)modified theories of gravity
Bertolami, O., Böhmer, C. G., Harko, T., & Lobo, F. S. N. (2007) · Physical Review D · doi:10.1103/physrevd.75.104016 · Cited by 1,008
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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