Einstein-Proca theory from the Einstein-Cartan formulation
Will Barker, Sebastian Zell
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. Published by the American Physical Society 2024
Topics & Concepts
PhysicsGeneral relativityGravitationEinsteinMathematical physicsCurvatureClassical mechanicsHamiltonian (control theory)Torsion (gastropod)Gravitational fieldLagrangianTheoretical physicsMathematicsGeometryMedicineSurgeryMathematical optimizationCosmology and Gravitation TheoriesDark Matter and Cosmic PhenomenaBlack Holes and Theoretical Physics