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

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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 th...

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Autor principal: Alfonso, V.I
Otros Autores: Bejarano, C., Beltrán Jiménez, J., Olmo, G.J, Orazi, E.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Institute of Physics Publishing 2017
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100 1 |a Alfonso, V.I. 
245 1 4 |a The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields 
260 |b Institute of Physics Publishing  |c 2017 
506 |2 openaire  |e Política editorial 
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520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: ANR-11-IDEX-0001-02 
536 |a Detalles de la financiación: SEV-2014-0398 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq, 301137/2014-5 
536 |a Detalles de la financiación: CSD2009-00064, FIS2014-57387-C3-1-P, SEV-2016-0597 
536 |a Detalles de la financiación: Comisión Sectorial de Investigación Científica, CPANPHY-1205388 
536 |a Detalles de la financiación: Agence Nationale de la Recherche 
536 |a Detalles de la financiación: Erzincan Üniversitesi, SEJI/2017/042 
536 |a Detalles de la financiación: European Cooperation in Science and Technology 
536 |a Detalles de la financiación: National Council for Scientific Research 
536 |a Detalles de la financiación: European Cooperation in Science and Technology, CA15117 
536 |a Detalles de la financiación: Ministerio de Economía y Competitividad, FIS2014-52837-P, FIS2016-78859-P 
536 |a Detalles de la financiación: VIA is supported by the postdoctoral fellowship CNPq-Brasil/PDE No. 234432/2014-4 and by Federal University of Campina Grande (Brazil). CB is funded by the National Scientific and Technical Research Council (CONICET). JBJ acknowledges the financial support of A*MIDEX project (n ANR-11-IDEX-0001-02) funded by the Investissements d’Avenir French Government program, managed by the French National Research Agency (ANR), MINECO (Spain) projects FIS2014-52837-P, FIS2016-78859-P (AEI/FEDER), Consolider-Ingenio MULTIDARK CSD2009-00064 and Centro de Excelencia Severo Ochoa Program SEV-2016-0597. GJO is supported by a Ramon y Cajal contract, the Spanish grant FIS2014-57387-C3-1-P (MINECO/FEDER, EU), and the project SEJI/2017/042. This work has also been supported by the i-COOPB20105 grant of the Spanish Research Council (CSIC), the Consolider Program CPANPHY-1205388, the Severo Ochoa grant SEV-2014-0398 (Spain), and the CNPq (Brazilian agency) project No.301137/2014-5. VIA and CB thank the Department of Physics of the University of Valencia for their hospitality during the elaboration of this work. This article is based upon work from COST Action CA15117, supported by COST (European Cooperation in Science and Technology). 
593 |a Unidade Acadĉmica de Física, Universidade Federal de Campina Grande, Campina Grande, PB, 58109-970, Brazil 
593 |a Instituto de Astronomía y Física Del Espacio (IAFE CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina 
593 |a Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, C/ Nicolás Cabrera 13-15, Cantoblanco, Madrid, 28049, Spain 
593 |a Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France 
593 |a Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC., Universidad de Valencia, Burjassot, Valencia46100, Spain 
593 |a Departamento de Física, Universidade Federal da Paraí Ba, João Pessoa, Paraíba, 58051-900, Brazil 
593 |a International Institute of Physics, Federal University of Rio Grande Do Norte, Campus Universitário-Lagoa Nova, Natal-RN, 59078-970, Brazil 
593 |a Escola de Ciĉncia e Tecnologia, Universidade Federal Do Rio Grande Do Norte, Caixa Postal 1524, Natal-RN, 59078-970, Brazil 
690 1 0 |a METRIC-AFFINE THEORIES 
690 1 0 |a MODIFIED GRAVITY 
690 1 0 |a NON-MINIMAL COUPLINGS 
650 1 7 |2 spines  |a TORSION 
700 1 |a Bejarano, C. 
700 1 |a Beltrán Jiménez, J. 
700 1 |a Olmo, G.J. 
700 1 |a Orazi, E. 
773 0 |d Institute of Physics Publishing, 2017  |g v. 34  |k n. 23  |p Classical Quantum Gravity  |x 02649381  |w (AR-BaUEN)CENRE-326  |t Classical and Quantum Gravity 
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