Canonical Phase Space Formulation of Quasilocal General Relativity

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dc.creatorBooth, Ivan S.
dc.creatorFairhurst, Stephen
dc.date2003-01-30
dc.date2003-09-04
dc.date.accessioned2026-07-07T10:31:56Z
dc.date.available2026-07-07T10:31:56Z
dc.descriptionWe construct a Hamiltonian formulation of quasilocal general relativity using an extended phase space that includes boundary coordinates as configuration variables. This allows us to use Hamiltonian methods to derive an expression for the energy of a non-isolated region of space-time that interacts with its neighbourhood. This expression is found to be very similar to the Brown-York quasilocal energy that was originally derived by Hamilton-Jacobi methods. We examine the connection between the two formalisms and find that when the boundary conditions for the two are harmonized, the resulting quasilocal energies are identical.
dc.description31 pages, 2 figures, references added, typos corrected, section 3 revised for clarity, to appear in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/gr-qc/0301123
dc.identifierhttp://arxiv.org/abs/gr-qc/0301123
dc.identifierClass.Quant.Grav.20:4507-4532,2003
dc.identifierdoi:10.1088/0264-9381/20/21/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178590
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCanonical Phase Space Formulation of Quasilocal General Relativity
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