Mathematical Structure of Tetrad Equations for Vacuum Relativity

Details Mathematical Structure of Tetrad Equations for Vacuum Relativity Mathematical Structure of Tetrad Equations for Vacuum Relativity

2004-11-05

arxiv.org/abs/gr-qc/0411029v3

Phys.Rev. D71 (2005) 044004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Slightly revised. In press, Phys. Rev. D15

Scientific paper

10.1103/PhysRevD.71.044004

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.

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