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

Abstract

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.

V2: 11 pages, published version

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Cited by in corpus (7)

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• Quantum entanglement in cosmology
• Imprints from a Riemann-Cartan space-time on the energy levels of Dirac spinors
• Bianchi IX geometry and the Einstein-Maxwell theory
• Entanglement production in Einstein-Cartan theory
• Friedmann cosmology with hyperfluids
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology