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General relativity in two dimensions: A Hamilton-Jacobi analysis

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Academic Press Inc. Elsevier B.V.

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Abstract

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. (c) 2010 Elsevier B.V. All rights reserved.

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Hamilton-Jacobi, Constraints, General relativity, Two dimensions

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English

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Annals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 325, n. 11, p. 2499-2511, 2010.

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