Quasilocal Hamiltonians in general relativity
We analyze the definition of quasilocal energy in general relativity 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 quasilocal energy in general relativity requires, at a minimum, a framework based on the (currently unknown) geometric well-posedness of the initial boundary value problem for the Einstein equations.
- Department of Mathematics, Stony Brook University, Stony Brook, N.Y. 11794-3651 (United States)
- Publication Date:
- OSTI Identifier:
- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 82; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.82.084044; (c) 2010 American Institute of Physics
- Country of Publication:
- United States
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY-VALUE PROBLEMS; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; HAMILTONIANS; HILBERT SPACE BANACH SPACE; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; RELATIVITY THEORY; SPACE
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