Spinors, Jets, and the Einstein Equations

dc.creatorTorre, C. G.
dc.date1995-08-03
dc.date.accessioned2026-07-07T03:30:47Z
dc.date.available2026-07-07T03:30:47Z
dc.descriptionMany important features of a field theory, {\it e.g.}, conserved currents, symplectic structures, energy-momentum tensors, {\it etc.}, arise as tensors locally constructed from the fields and their derivatives. Such tensors are naturally defined as geometric objects on the jet space of solutions to the field equations. Modern results from the calculus on jet bundles can be combined with a powerful spinor parametrization of the jet space of Einstein metrics to unravel basic features of the Einstein equations. These techniques have been applied to computation of generalized symmetries and ``characteristic cohomology'' of the Einstein equations, and lead to results such as a proof of non-existence of ``local observables'' for vacuum spacetimes and a uniqueness theorem for the gravitational symplectic structure.
dc.descriptionto appear in the proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics, 13 pages, uses AMSTeX and AMSppt.sty
dc.identifierhttps://arxiv.org/abs/gr-qc/9508005
dc.identifierhttp://arxiv.org/abs/gr-qc/9508005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35639
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpinors, Jets, and the Einstein Equations
dc.typetext

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