Abstract
I show in this Brief Report 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.
- Received 15 November 1993
DOI:https://doi.org/10.1103/PhysRevD.49.6935
©1994 American Physical Society