Generalized Hamilton-Jacobi transformations: Gauge and diffeomorphism constraints

Joshua N. Goldberg
Phys. Rev. D 54, 4997 – Published 15 October 1996
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Abstract

Newman and Rovelli have introduced generalized singular Hamilton-Jacobi transformations to solve the gauge and diffeomorphism constraints in the Ashtekar formalism. However, this solution does not have a Minkowski space limit. Starting from the linearized constraints, Goldberg and Robinson were able to find a solution, but their solution cannot be related to that of Newman and Rovelli. In this paper, the linearized solution is generalized and the Newman-Rovelli result is modified to have a Minkowski space limit. Unfortunately, the scalar constraint remains an unsolved problem.

  • Received 3 June 1996

DOI:https://doi.org/10.1103/PhysRevD.54.4997

©1996 American Physical Society

Authors & Affiliations

Joshua N. Goldberg

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

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Issue

Vol. 54, Iss. 8 — 15 October 1996

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