General Relativity in two dimensions: a Hamilton-Jacobi constraint analysis
arXiv:0911.2120 · doi:10.1016/j.aop.2010.05.004
Abstract
We will analyze the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We will be able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized brackets we will show how to assure integrability of the theory, to eliminate the set of non-involutive constraints, and to build the field equations.
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