2006/04/06 by Ray d’Inverno, R. A. d'Inverno, Philippe Lambert +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/11/005
published as Class.Quant.Grav. 23 (2006) 3747-3762 · 17 pages, LaTeX uses iopart.cls, to appear in Class. Quantum Grav
arxiv created 2006/04/06 · openalex publication_date 2006/05/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 2-surface, a constraint that generates diffeomorphisms along the null generators and a constraint that generates self-dual spin and boost transformations.