The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields

dc.creatorAlfonso, Victor I.
dc.creatorBejarano, Cecilia
dc.creatorJiménez, Jose Beltrán
dc.creatorOlmo, Gonzalo J.
dc.creatorOrazi, Emanuele
dc.date2020-11-17T18:10:34Z
dc.date2020-11-17T18:10:34Z
dc.date2017-11-07
dc.identifierAFONSO, V. I.; BEJARANO, C.; JIMENEZ, J. B. ; OLMO, G.J.; ORAZI, E.. The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields. Classical and Quantum Gravity, v. 34, p. 235003, 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1361-6382/aa9151. Acesso em: 10 nov. 2020. https://doi.org/10.1088/1361-6382/aa9151
dc.identifier0264-9381
dc.identifier1361-6382
dc.identifierhttps://repositorio.ufrn.br/handle/123456789/30592
dc.identifier10.1088/1361-6382/aa9151
dc.descriptionWe study a large family of metric-affine theories with a projective symmetry, including non-minimally coupled matter fields which respect this invariance. The symmetry is straightforwardly realised by imposing that the connection only enters through the symmetric part of the Ricci tensor, even in the matter sector. We leave the connection completely free (including torsion), and obtain its general solution as the Levi-Civita connection of an auxiliary metric, showing that the torsion only appears as a projective mode. This result justifies the widely used condition of setting vanishing torsion in these theories as a simple gauge choice. We apply our results to some particular cases considered in the literature, including the so-called Eddington-inspired-Born–Infeld theories among others. We finally discuss the possibility of imposing a gauge fixing where the connection is metric compatible, and comment on the genuine character of the non-metricity in theories where the two metrics are not conformally related
dc.languageen
dc.publisherIOP Publishing
dc.subjectModified gravity
dc.subjectMetric-affine theories
dc.subjectTorsion
dc.subjectNon-minimal couplings
dc.titleThe trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields
dc.typearticle


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