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

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

Apr 28, 2020

11 pages

Published in:

JCAP 10 (2020) 057

Published: Oct 30, 2020

e-Print:

2004.13693 [gr-qc]

DOI:

10.1088/1475-7516/2020/10/057 (publication)

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Abstract: (arXiv)

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.

Note:

V2: 11 pages, published version

coupling: minimal
torsion
spatial distribution
Einstein-Cartan
electromagnetic field
gravitation: model
cosmological model
spin
geometry
Friedman model

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