General Relativity as a (constrained) Yang-Mills's Theory and a Novel Gravity with Torsion

dc.creatorCantcheff, M. Botta
dc.date2000-10-21
dc.date2001-10-07
dc.date.accessioned2026-07-07T03:25:20Z
dc.date.available2026-07-07T03:25:20Z
dc.descriptionWe 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.
dc.description8 pages. This replaced version has slightly modified title, some additional information that render our results clearer and a few new contributions. References added
dc.identifierhttps://arxiv.org/abs/gr-qc/0010080
dc.identifierhttp://arxiv.org/abs/gr-qc/0010080
dc.identifierGen.Rel.Grav. 34 (2002) 1781-1792
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33671
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeneral Relativity as a (constrained) Yang-Mills's Theory and a Novel Gravity with Torsion
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