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Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables

R. A. d'Inverno·P Lambert·J. A. Vickers
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Abstract

We derive a canonical analysis of a double null 2+2 Hamiltonian description of General Relativity in terms of complex self-dual 2-forms and the associated SO(3) connection variables. The algebra of first class constraints is obtained and forms a Lie algebra that consists of two constraints that generate diffeomorphisms in the two surface, a constraint that generates diffeomorphisms along the null generators and a constraint that generates self-dual spin and boost transformations.

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R. A. d'Inverno, P Lambert, J. A. Vickers. 2006-04-06. Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables. https://doi.org/10.1088/0264-9381%2F23%2F11%2F005

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