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arXiv · 2103.15673

The initial boundary value problem and quasi-local Hamiltonians in General Relativity

Zhongshan An·Michael T. Anderson
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Abstract

We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP. We present and analyse several other choices of boundary conditions which are better behaved with respect to the IBVP and carry out a corresponding Hamiltonian analysis, using the framework of the covariant phase space method.

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Zhongshan An, Michael T. Anderson. 2021-03-29. The initial boundary value problem and quasi-local Hamiltonians in General Relativity. https://doi.org/10.1088/1361-6382%2Fac0a86

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