Action Principle for the Generalized Harmonic Formulation of General Relativity

Details Action Principle for the Generalized Harmonic Formulation of General Relativity Action Principle for the Generalized Harmonic Formulation of General Relativity

2010-08-18

arxiv.org/abs/1008.3177v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This version is contains more thorough presentations and discussions of the key results. To be published in PRD. (8 pages, no

Scientific paper

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 (BBP). The relationship between the generalized harmonic action and the BBP action is discussed in detail.

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