Harmonic gauge in canonical gravity

K. V. Kuchař and C. G. Torre
Phys. Rev. D 44, 3116 – Published 15 November 1991
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Abstract

The Isham-Kuchař representation theory of the spacetime diffeomorphism group in canonical geometrodynamics is implemented in the context of harmonic coordinate conditions. The representation is carried by either an extended phase space, consisting of the cotangent bundle over the space of three-metrics, spacelike embeddings, and Lagrange multipliers which serve to enforce the harmonic gauge in the action, or by a reduced space in which the multipliers are eliminated. The approach used here is applicable to any generally covariant theory and to any coordinate conditions. The physical interpretation of the diffeomorphism Hamiltonians is discussed and compared with the analogous interpretation given by us elsewhere in terms of Gaussian coordinate conditions.

  • Received 24 May 1991

DOI:https://doi.org/10.1103/PhysRevD.44.3116

©1991 American Physical Society

Authors & Affiliations

K. V. Kuchař

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112

C. G. Torre*

  • Department of Physics, Syracuse University, Syracuse, New York 13244-1130

  • *Present address: Department of Physics, Utah State University, Logan, Utah 84322-4415.

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Vol. 44, Iss. 10 — 15 November 1991

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