Einstein-Proca theory from the Einstein-Cartan formulation

Zell, Sebastian;et.al.
(2024) Physical review D — Vol. 109 (2024)

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  • Zell, SebastianUCLouvain
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  • et. al.
Abstract
We construct a theory of gravity in which a propagating massive vector field arises from a quadratic curvature invariant. The Einstein-Cartan formulation and a partial suppression of torsion ensure the absence of ghost and strong-coupling problems, as we prove with nonlinear Lagrangian and Hamiltonian analysis. Augmenting General Relativity with a propagating torsion vector, our theory provides a purely gravitational origin of Einstein-Proca models and constrains their parameter space. As an outlook to phenomenology, we discuss the gravitational production of fermionic dark matter.
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Zell, S., & et al. (2024). Einstein-Proca theory from the Einstein-Cartan formulation. Physical review D, 109. https://doi.org/10.1103/PhysRevD.109.024007 (Original work published 2024)