Conservation laws for vacuum tetrad gravity
arXiv:gr-qc/0508081 · doi:10.1088/0264-9381/23/9/005
Abstract
Ten conservation laws in useful polynomial form are derived from a Cartan form and Exterior Differential System (EDS) for the tetrad equations of vacuum relativity. The Noether construction of conservation laws for well posed EDS is introduced first, and an illustration given, deriving 15 conservation laws of the free field Maxwell Equations from symmetries of its EDS. The Maxwell EDS and tetrad gravity EDS have parallel structures, with their numbers of dependent variables, numbers of generating 2-forms and generating 3-forms, and Cartan character tables all in the ratio of 1 to 4. They have 10 corresponding symmetries with the same Lorentz algebra, and 10 corresponding conservation laws.
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Cited by in corpus (4)
- Covariance properties and regularization of conserved currents in tetrad gravity
- Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
- The Hilbert Lagrangian and Isometric Embedding: Tetrad Formulation of Regge-Teitelboim Gravity
- Matrix theory of gravitation