All Physics Faculty Publications
Document Type
Contribution to Book
Journal/Book Title/Conference
The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics
Publisher
American Mathematical Society
Publication Date
1997
First Page
125
Last Page
136
Abstract
Many important features of a field theory, e.g., conserved currents, symplectic structures, energy-momentum tensors, 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.
Recommended Citation
C.G. Torre, Spinors, Jets, and the Einstein Equations, gr-qc/9508005, Aug. 1995.
http://arxiv.org/abs/gr-qc/9508005
Comments
Originally published by the American Mathematical Society. PDF of book chapter can be accessed through arXiv.org. This publication can be purchased through the AMS Bookstore.