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Einstein-Proca theory from the Einstein-Cartan formulation

Published 26 Jun 2023 in hep-th, astro-ph.CO, gr-qc, and hep-ph | (2306.14953v2)

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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Authors (2)

  1. Will Barker 
  2. Sebastian Zell 

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