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Abstract:

We 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. © 2017 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields
Autor:Alfonso, V.I.; Bejarano, C.; Beltrán Jiménez, J.; Olmo, G.J.; Orazi, E.
Filiación:Unidade Acadĉmica de Física, Universidade Federal de Campina Grande, Campina Grande, PB, 58109-970, Brazil
Instituto de Astronomía y Física Del Espacio (IAFE CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina
Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, C/ Nicolás Cabrera 13-15, Cantoblanco, Madrid, 28049, Spain
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC., Universidad de Valencia, Burjassot, Valencia46100, Spain
Departamento de Física, Universidade Federal da Paraí Ba, João Pessoa, Paraíba, 58051-900, Brazil
International Institute of Physics, Federal University of Rio Grande Do Norte, Campus Universitário-Lagoa Nova, Natal-RN, 59078-970, Brazil
Escola de Ciĉncia e Tecnologia, Universidade Federal Do Rio Grande Do Norte, Caixa Postal 1524, Natal-RN, 59078-970, Brazil
Palabras clave:metric-affine theories; modified gravity; non-minimal couplings; torsion
Año:2017
Volumen:34
Número:23
DOI: http://dx.doi.org/10.1088/1361-6382/aa9151
Título revista:Classical and Quantum Gravity
Título revista abreviado:Classical Quantum Gravity
ISSN:02649381
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v34_n23_p_Alfonso

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Citas:

---------- APA ----------
Alfonso, V.I., Bejarano, C., Beltrán Jiménez, J., Olmo, G.J. & Orazi, E. (2017) . The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields. Classical and Quantum Gravity, 34(23).
http://dx.doi.org/10.1088/1361-6382/aa9151
---------- CHICAGO ----------
Alfonso, V.I., Bejarano, C., Beltrán Jiménez, J., 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 34, no. 23 (2017).
http://dx.doi.org/10.1088/1361-6382/aa9151
---------- MLA ----------
Alfonso, V.I., Bejarano, C., Beltrán Jiménez, J., 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, vol. 34, no. 23, 2017.
http://dx.doi.org/10.1088/1361-6382/aa9151
---------- VANCOUVER ----------
Alfonso, V.I., Bejarano, C., Beltrán Jiménez, J., Olmo, G.J., Orazi, E. The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields. Classical Quantum Gravity. 2017;34(23).
http://dx.doi.org/10.1088/1361-6382/aa9151