A square-torsion modification of Einstein-Cartan theory

Abstract

In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant. In particular, we discuss the couplings to Dirac fields and spin fluids: in the case of Dirac fields, we discuss how in our approach, the Dirac self-interactions depend on the coupling constant as a parameter that may even make these non-linearities manifest at subatomic scales, showing different applications according to the value of the parameter we have assigned; in the case of spin fluids, we discuss FLRW cosmological models arising from the proposed theory.

21 pages

References in corpus (5)

• Constraints on Torsion from Lorentz Violation
• Fourth order Weyl gravity
• A modified theory of gravity with torsion and its applications to cosmology and particle physics
• Dirac fields in f(R)-gravity with torsion
• Leptonic Electroweak Spin-Torsion Interactions

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• Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
• Einstein-Cartan-Dirac gravity with $U(1)$ symmetry breaking
• Spinor fields in $f(\mathcal{Q})$-gravity
• A torsional completion of gravity for Dirac matter fields and its applications to neutrino oscillations
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• R+S^2 theories of gravity without big-bang singularity
• Square-torsion gravity, dark matter halos and the baryonic Tully-Fisher relation
• Energy, momentum and angular momentum conservations in de Sitter gravity
• Energy, momentum and angular momentum conservations in de Sitter special relativity