New Tetrads for General Relativity

Details New Tetrads for General Relativity New Tetrads for General Relativity

1997-07-24

arxiv.org/abs/hep-th/9707201v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 14 pages, no figures. Major changes in text. Contribution to the proceedings of the conference "Quantum Groups, De

Scientific paper

Using the tools of q--differential calculus and quantum Lie algebras associated to quantum groups, we find a one--parameter family of q-gauge theories associated to the quantum group $ISO_q(3,1)$. Although the gauge fields, that is the spin--connection and the vierbeins are non--commuting objects depending on a deformation parameter, $q$, it is possible to construct out of them a metric theory which is insensitive to the deformation. The Christoffel symbols and the Riemann tensor are ordinary commuting objects. Hence it is argued that torsionless Einstein's General Relativity is the common invariant sector of a one--parameter family of deformed gauge theories.

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