Metric-affine f(R) theories of gravity

By T. Sotiriou, Stefano Liberati. 2006

329 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/429f1b9a8e3c5e609cf01ac0b3cb325cc2bcde09

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In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

f(R) Theories Of Gravity (2008, methodology): “This can be done in several ways, such as allowing for the metric to be non-symmetric as well, adding higher order curvature invariants or terms including the Cartan torsion tensor [see (Sotiriou, 2007b; Sotiriou and Liberati, 2007b) for a more detailed discussion].”
Modified Gravity and Cosmology (2011, background): “to a vanishing of the torsion, and ∆ (νρ) μ 6= 0 introduces non-zero non-metricity [1168].”
f(R) Theories (2010, background): “If the condition Δ [μν] λ = 0 holds, it follows that the Cartan torsion tensor vanishes (S μν = 0) [558].”