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

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arxiv 2103.15673 v1 pith:PQ3ILPWV submitted 2021-03-29 gr-qc math.DG

Zhongshan An , Michael T. Anderson This is my paper
classification gr-qcmath.DG
keywords boundaryibvpconditionshamiltoniansinitialproblemquasi-localvalue
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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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Cited by 6 Pith papers

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