Spacetime Lagrangian Formulation of Barbero-Immirzi Gravity
L. Fatibene, M. Francaviglia, C. Rovelli
TL;DR
This paper introduces a novel spacetime gauge-covariant Lagrangian formulation of General Relativity using the Barbero-Immirzi SU(2)-connection, providing a new perspective on gravitational theories.
Contribution
It presents the first Lagrangian formulation of General Relativity based on SU(2) spacetime fields, advancing the theoretical framework of gravitational gauge theories.
Findings
First spacetime gauge-covariant Lagrangian with SU(2) connection
New formulation enhances understanding of gravitational gauge symmetries
Potential implications for quantum gravity research
Abstract
We shall here discuss a new spacetime gauge-covariant Lagrangian formulation of General Relativity by means of the Barbero-Immirzi SU(2)-connection on spacetime. To the best of our knowledge the Lagrangian based on SU(2) spacetime fields seems to appear here for the first time.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.