Mathematical structure of tetrad equations for vacuum relativity

Frank B. Estabrook
Phys. Rev. D 71, 044004 – Published 2 February 2005

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.

  • Received 4 November 2004

DOI:https://doi.org/10.1103/PhysRevD.71.044004

©2005 American Physical Society

Authors & Affiliations

Frank B. Estabrook

  • Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109, USA

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Issue

Vol. 71, Iss. 4 — 15 February 2005

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