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

Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables
Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables
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.
0264-9381
3747-3761
d'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Lambert, P.
f2c97139-8b06-40dd-8369-5f11b4c883a8
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
d'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Lambert, P.
f2c97139-8b06-40dd-8369-5f11b4c883a8
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634

d'Inverno, R.A., Lambert, P. and Vickers, J.A. (2006) Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables. Classical and Quantum Gravity, 23 (11), 3747-3761. (doi:10.1088/0264-9381/23/11/005).

Record type: Article

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 2-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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Published date: 2006

Identifiers

Local EPrints ID: 29340
URI: http://eprints.soton.ac.uk/id/eprint/29340
ISSN: 0264-9381
PURE UUID: a712eb52-e56c-49dc-9167-4e3d00c92c90
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 11 May 2006
Last modified: 09 Jan 2022 02:33

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Contributors

Author: R.A. d'Inverno
Author: P. Lambert
Author: J.A. Vickers ORCID iD

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