Barbero G., J. FernandoMargalef Bentabol, JuanVaro, ValleSánchez Villaseñor, Eduardo Jesús2021-09-102021-09-102021-08-15Barbero G., J. F., Margalef-Bentabol, J., Varo, V. & Villaseñor, E. J. (2021). Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables. Physical Review D, 104(4), 044046.2470-0010https://hdl.handle.net/10016/33257We 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.6eng© 2021 American Physical SocietyAlternative gravity theoriesGeneral relativityGeneral relativity equations & solutionsGeneral relativity formalismGravitationresearch articleMatemáticashttps://doi.org/10.1103/PhysRevD.104.044046open access0440464Physical Review D104AR/0000028257