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arXiv · 1008.4309

On quasi-local Hamiltonians in General Relativity

Michael T. Anderson
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Abstract

We analyse the definition of quasi-local energy in GR based on a Hamiltonian analysis of the Einstein-Hilbert action initiated by Brown-York. The role of the constraint equations, in particular the Hamiltonian constraint on the timelike boundary, neglected in previous studies, is emphasized here. We argue that a consistent definition of quasi-local energy in GR requires, at a minimum, a framework based on the (currently unknown) geometric well-posedness of the initial boundary value problem for the Einstein equations.

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Michael T. Anderson. 2010-08-25. On quasi-local Hamiltonians in General Relativity. https://doi.org/10.1103/physrevd.82.084044

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