GENERAL RELATIVITY AS A THEORY OF TWO CONNECTIONS
- 1 June 1994
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics D
- Vol. 3 (2) , 379-392
- https://doi.org/10.1142/s0218271894000587
Abstract
We show in this paper that it is possible to formulate general relativity in a phase space coordinatized by two SO(3) connections. We analyze first the Husain-Kuchař model and find a two connection description for it. Introducing a suitable scalar constraint in this phase space we get a Hamiltonian formulation of gravity that is close to the one given by Ashtekar, from which it is derived, but has some interesting features of its own. Among them are a possible mechanism for dealing with the degenerate metrics and a neat way of writing the constraints of general relativity.Keywords
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