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Covariant Hamiltonian boundary term: Reference and quasi-local quantities
The Hamiltonian for dynamic geometry generates the evolution of a spatial
region along a vector field. It includes a boundary term which determines both
the value of the Hamiltonian and the boundary conditions. The value gives the
quasi-local quantities: energy-momentum, angular-momentum and center-of-mass.
The boundary term depends not only on the dynamical variables but also on their
reference values; the latter determine the ground state (having vanishing
quasi-local quantities). For our preferred boundary term for Einstein's GR we
propose 4D isometric matching and extremizing the energy to determine the
reference metric and connection values.Comment: 6 pages, contribution to the Proceedings of the Second LeCosPA
Symposium "Everything about Gravity", Taipei, 14-18 Dec., 201
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