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Phys. Rev. D 71, 044004 (2005) [5 pages]

Mathematical structure of tetrad equations for vacuum relativity

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Frank B. Estabrook
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109, USA

Received 4 November 2004; published 2 February 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.044004
DOI:
10.1103/PhysRevD.71.044004
PACS:
04.20.Gz