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 |
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| container_end_page | 2511 |
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| container_issue | 11 |
| container_start_page | 2499 |
| container_title | Annals of physics |
| container_volume | 325 |
| creator | Bertin, M.C. Pimentel, B.M. Pompeia, P.J. |
| description | 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. |
| doi_str_mv | 10.1016/j.aop.2010.05.004 |
| format | Article |
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| ispartof | Annals of physics, 2010-11, Vol.325 (11), p.2499-2511 |
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| source | Elsevier ScienceDirect Journals |
| subjects | 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 |
| title | General relativity in two dimensions: A Hamilton–Jacobi analysis |
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