Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables

Abstract

We prove the equivalence in the covariant phase space of the metric and connection formulations for Palatini gravity, with nonmetricity and torsion, on a spacetime manifold with boundary. To this end, we will rely on the cohomological approach provided by the relative bicomplex framework. Finally, we discuss some of the physical implications derived from this equivalence in the context of singularity identification through curvature invariants.

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Cited by in corpus (8)

• Covariant canonical formulations of classical field theories
• Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
• The dressing field method for diffeomorphisms: a relational framework
• On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
• On the covariant formulation of gauge theories with boundaries
• Three roads to the geometric constraint formulation of gravitational theories with boundaries
• Phase space for gravity with boundaries
• Dualized Gravity beyond Linear Approximation