Mathematical Structure of Tetrad Equations for Vacuum Relativity
arXiv:gr-qc/0411029 · doi:10.1103/PhysRevD.71.044004
Abstract
The tetrad partial differential equations formulated by Buchman and Bardeen for vacuum gravity are shown to be well posed by calculation of the Cartan characters of an associated exterior differential system. Gauge specializations are discussed. A Cartan 4-form is found for this field theory, together with its intrinsic version the Lagrangian density.
arXiv commentSlightly revised. In press, Phys. Rev. D15
References in corpus (5)
- Numerical Relativity Using a Generalized Harmonic Decomposition
- Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
- NONLINEAR WAVE EQUATIONS FOR RELATIVITY
- Hyperbolic Equations for Vacuum Gravity Using Special Orthonormal Frames
- A hyperbolic tetrad formulation of the Einstein equations for numerical relativity
Cited by in corpus (16)
- Comparing and contrasting nuclei and cold atomic gases
- Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
- Euler observers in geometrodynamics
- Tetrads in SU(3) X SU(2) X U(1) Yang-Mills geometrodynamics
- Tetrads in SU(N) Yang-Mills geometrodynamics
- Schwarzschild Tests of the Wahlquist-Estabrook-Buchman-Bardeen Tetrad Formulation for Numerical Relativity
- Covariant diagonalization of the perfect fluid stress-energy tensor
- The Hilbert Lagrangian and Isometric Embedding: Tetrad Formulation of Regge-Teitelboim Gravity
- Unified formalism for Palatini gravity
- Conservation laws for vacuum tetrad gravity
- Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes
- Exterior Differential Systems for Yang-Mills Theories
- On the nature of the new group LB1
- Specialized Orthonormal Frames and Embedding
- Classic field theories of gravitation embedded in ten dimensions
- Field Theories found Geometrically from Embeddings in Flat Frame Bundles