Hamiltonian analysis of the double null 2 + 2 decomposition of general relativity expressed in terms of self-dual bivectors

2006/04/20 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:10.1088/0264-9381/23/13/014

published as Class.Quant.Grav. 23 (2006) 4511-4522 · 12 pages, LaTeX, uses iopart.cls, submitted to Class. Quantum Grav

arxiv created 2006/04/20 · openalex publication_date 2006/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we obtain a 2 + 2 double null Hamiltonian description of general relativity using only the (complex) SO (3) connection and the components of the complex densitized self-dual bivectors Σ A . We carry out the general canonical analysis of this system and obtain the first class constraint algebra entirely in terms of the self-dual variables. The first class algebra forms a Lie algebra and all the first class constraints have a simple geometrical interpretation.

Citations

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

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