The cosmological principle in theories with torsion: the case of Einstein-Cartan-Dirac-Maxwell gravity

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We address the implementation of the cosmological principle, that is, the assumption of homogeneity and isotropy in the spatial distribution of matter in the Universe, within the context of Einstein-Cartan theory including minimal couplings of both Dirac and Maxwell fields to torsion. This theory gives rise to new physical effects in environments of high spin densities while leaving the vacuum dynamics unaffected. Our approach is to impose the cosmological principle from the onset to the geometrical degrees of freedom (metric and torsion functions), which constrains the torsion components and the corresponding correction terms in the Friedmann-like equations and in the resulting fermionic and bosonic (non-linear) dynamics. We derive the corresponding cosmological dynamics for the geometrical and matter degrees of freedom and discuss the validity of this approach.
© 2020 IOP Publishing. FC is funded by the Fundacao para a Ciencia e a Tecnologia (FCT, Portugal) predoctoral grant No.PD/BD/128017/2016. FSNL acknowledges support from the FCT Scientific Employment Stimulus contract with reference CEECIND/04057/2017. DRG is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid, No. 2018T1/TIC-10431, and acknowledges further support from the projects FIS2014-57387-C3-1-P and FIS2017-84440-C2-1-P (MINECO/FEDER, EU), the project SEJI/2017/042 (Generalitat Valenciana), and PRONEX (FAPESQ-PB/CNPQ, Brazil). The authors also acknowledge funding from FCT projects No. UID/FIS/04434/2019 and No. PTDC/FIS-OUT/29048/2017. FC thanks the hospitality of the Department of Theoretical Physics and IPARCOS of the Complutense University of Madrid, where part of this work was carried out. This article is based upon work from COST Actions CA15117 and CA18108, supported by COST (European Cooperation in Science and Technology).
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Física-Modelos matemáticos, Física matemática
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