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

publication date

  • August 2021

issue

  • 4

volume

  • 104

International Standard Serial Number (ISSN)

  • 2470-0010

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.

keywords

  • alternative gravity theories; general relativity; general relativity equations & solutions; general relativity formalism; gravitation