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The initial boundary value problem and quasi-local Hamiltonians in general relativity

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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… Click to show full 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 analyze 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.

Keywords: initial boundary; value problem; quasi local; boundary value; local hamiltonians

Journal Title: Classical and Quantum Gravity
Year Published: 2021

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