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arXiv · 2306.14953

Einstein-Proca theory from the Einstein-Cartan formulation

Will Barker·Sebastian Zell
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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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Will Barker, Sebastian Zell. 2023-06-26. Einstein-Proca theory from the Einstein-Cartan formulation. https://doi.org/10.1103/physrevd.109.024007

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