On quasi-local Hamiltonians in General Relativity
arXiv:1008.4309 · doi:10.1103/PhysRevD.82.084044
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.
9 pages
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- The initial boundary value problem and quasi-local Hamiltonians in General Relativity
- Effective Action, Spectrum and First Law of Wedge Holography
- Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
- Cylinder transition amplitudes in pure AdS Gravity