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A Real Polynomial Formulation of General Relativity in terms of Connections

J. Fernando Barbero
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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.

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J. Fernando Barbero. 1993-11-11. A Real Polynomial Formulation of General Relativity in terms of Connections. https://doi.org/10.1103/physrevd.49.6935

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