2 papers
gr-qc2022
Barbero--Immirzi--Holst Lagrangian with Spacetime Barbero--Immirzi Connections
Andrea Orizzonte
We carry out the complete variational analysis of the Barbero--Immirzi--Holst Lagrangian, which is the Holst Lagrangian expressed in terms of the triad of fields , where…
math.DG2020
Barbero-Immirzi connections and how to build them
Andrea Orizzonte, Lorenzo Fatibene
We introduce a covariant formulation of Barbero-Immirzi connections, which are used in Loop Quantum Gravity to describe gravity. We show that Barbero-Immirzi connections can be uni…