General relativity in two dimensions: A Hamilton–Jacobi analysis

We analyzed the constraint structure of the Einstein–Hilbert first-order action in two dimensions using the Hamilton–Jacobi approach. We were able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized brackets we showed how to assure integrability of the theo...

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Veröffentlicht in:	Annals of physics 2010-11, Vol.325 (11), p.2499-2511
Hauptverfasser:	Bertin, M.C., Pimentel, B.M., Pompeia, P.J.
Format:	Artikel
Sprache:	eng
Schlagworte:	ACTION INTEGRAL Brackets CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Constraints Construction DIFFERENTIAL EQUATIONS EQUATIONS FIELD EQUATIONS FIELD THEORIES General relativity GENERAL RELATIVITY THEORY HAMILTON-JACOBI EQUATIONS Hamilton–Jacobi INTEGRALS Mathematical analysis MATHEMATICAL OPERATORS Mathematics PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM OPERATORS Relativity RELATIVITY THEORY Theory Two dimensional Two dimensions TWO-DIMENSIONAL CALCULATIONS
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Zusammenfassung:	We analyzed the constraint structure of the Einstein–Hilbert first-order action in two dimensions using the Hamilton–Jacobi approach. We were able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized brackets we showed how to assure integrability of the theory, to eliminate the set of non-involutive constraints and how to build the field equations.
ISSN:	0003-4916 1096-035X
DOI:	10.1016/j.aop.2010.05.004