Hamiltonian analysis of the double null 2+2 decomposition of general relativity expressed in terms of self-dual bivectors
Hamiltonian analysis of the double null 2+2 decomposition of general relativity expressed in terms of self-dual bivectors
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 ?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.
4511-4522
d'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Lambert, P.
f2c97139-8b06-40dd-8369-5f11b4c883a8
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
12 June 2006
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 general relativity expressed in terms of self-dual bivectors.
Classical and Quantum Gravity, 23 (13), .
(doi:10.1088/0264-9381/23/13/014).
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 ?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.
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Submitted date: 7 April 2006
Published date: 12 June 2006
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Local EPrints ID: 39010
URI: http://eprints.soton.ac.uk/id/eprint/39010
ISSN: 0264-9381
PURE UUID: 4ec1cc94-6456-4114-b25d-a7c538d47b10
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Date deposited: 16 Jun 2006
Last modified: 16 Mar 2024 02:34
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Author:
R.A. d'Inverno
Author:
P. Lambert
Author:
J.A. Vickers
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