A Lorentz-Covariant Connection for Canonical Gravity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Geiller, M., Lachièze-Rey, M., Noui, K., Sardelli, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147410
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Lorentz-Covariant Connection for Canonical Gravity / M. Geiller, M. Lachièze-Rey, K. Noui, F. Sardelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 24 назв. — англ.

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...