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arXiv · 1604.05548

Covariant Hamiltonian boundary term: Reference and quasi-local quantities

Gang Sun·Chiang-Mei Chen·Jian-Liang Liu·James M. Nester
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Abstract

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.

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Gang Sun, Chiang-Mei Chen, Jian-Liang Liu, James M. Nester. 2016-04-19. Covariant Hamiltonian boundary term: Reference and quasi-local quantities. https://doi.org/10.1142/9789813203952_0088

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