1995/08/03 by C. G. Torre, Charles G Torre, Torre, C. G.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9508005
to appear in the proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics, 13 pages, uses AMSTeX and AMSppt.sty
arxiv created 1995/08/03 · openalex publication_date 1995/08/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Many 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.