A Lorentz-Covariant Connection for Canonical Gravity
A Lorentz-Covariant Connection for Canonical Gravity
We construct a Lorentz-covariant connection in the context of first order canonical gravity with non-vanishing Barbero-Immirzi parameter. To do so, we start with the phase space formulation derived from the canonical analysis of the Holst action in which the second class constraints have been solved explicitly. This allows us to …