A Real Polynomial Formulation of General Relativity in terms of Connections

Details A Real Polynomial Formulation of General Relativity in terms of Connections A Real Polynomial Formulation of General Relativity in terms of Connections

1993-11-11

arxiv.org/abs/gr-qc/9311019v1

Phys.Rev.D49:6935-6938,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.49.6935

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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