Quasi-Local Energy Flux of Spacetime Perturbation

dc.creatorTung, Roh-Suan
dc.creatorYu, Hoi-Lai
dc.date2008-09-15
dc.date2008-10-16
dc.date.accessioned2026-07-07T11:45:49Z
dc.date.available2026-07-07T11:45:49Z
dc.descriptionA general expression for quasi-local energy flux for spacetime perturbation is derived from covariant Hamiltonian formulation using functional differentiability and symplectic structure invariance, which is independent of the choice of the canonical variables and the possible boundary terms one initially puts into the Lagrangian in the diffeomorphism invariant theories. The energy flux expression depends on a displacement vector field and the 2-surface under consideration. We apply and test the expression in Vaidya spacetime. At null infinity the expression leads to the Bondi type energy flux obtained by Lindquist, Schwartz and Misner. On dynamical horizons with a particular choice of the displacement vector, it gives the area balance law obtained by Ashtekar and Krishnan.
dc.description8 pages, added appendix, version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0809.2567
dc.identifierhttp://arxiv.org/abs/0809.2567
dc.identifierPhys.Rev.D78:104010,2008
dc.identifierdoi:10.1103/PhysRevD.78.104010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202008
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuasi-Local Energy Flux of Spacetime Perturbation
dc.typetext

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