A Real Polynomial Formulation of General Relativity in terms of Connections

Abstract

I show in this letter that it is possible to construct a Hamiltonian description for Lorentzian General Relativity in terms of two real $SO(3)$ connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of General Relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated with the complex character of the latter.

13 pages, LATEX, Preprint CGPG-93/11-3

References in corpus (2)

• Unification of Gravity and Yang-Mills Theory in (2+1)-Dimensions
• Remarks on Pure Spin Connection Formulations of Gravity

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