Action principle for the generalized harmonic formulation of general relativity

J. David Brown
Phys. Rev. D 84, 084014 – Published 6 October 2011

Abstract

An action principle for the generalized harmonic formulation of general relativity is presented. The action is a functional of the spacetime metric and the gauge source vector. An action principle for the Z4 formulation of general relativity has been proposed recently by Bona, Bona-Casas, and Palenzuela. The relationship between the generalized harmonic action and the Bona, Bona-Casas, and Palenzuela action is discussed in detail.

  • Received 30 August 2010

DOI:https://doi.org/10.1103/PhysRevD.84.084014

© 2011 American Physical Society

Authors & Affiliations

J. David Brown

  • Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 USA

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Issue

Vol. 84, Iss. 8 — 15 October 2011

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