Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
General Relativity and Quantum Cosmology
2021-09-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2105.07053,
title = {Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables},
author = {Fernando Barbero G. and Juan Margalef-Bentabol and Valle Varo and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:2105.07053},
year = {2021}
}