2000/10/31 by M. Botta Cantcheff
Physics and Astronomy · #gr-qc
published as Gen.Rel.Grav. 34 (2002) 1781-1792 · 8 pages. This replaced version has slightly modified title, some additional information that render our results clearer and a few new contributions. References added
arxiv created 2001/10/07 · arxiv updated 2009/11/30
We show that General Relativity (GR) with cosmological constant may be formulated as a rather simple constrained SO(D-1,2) (or SO(D,1))-Yang-Mills (YM) theory. Furthermore, the spin connections of the Cartan-Einstein formulation for GR appear as solutions of a genuine SO(D-1,1)-YM. We also present a theory of gravity with torsion as the most natural extension of this result. The theory comes out to be strictly an YM-theory upon relaxation of a suitable constraint. This work sets out to enforce the close connection between YM theories and GR by means of a new construction.