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Einstein's action and the harmonic gauge in terms of Newtonian fields

Published 9 Sep 2010 in hep-th and gr-qc | (1009.1876v5)

Abstract: The "Newtonian" or non-relativistic decomposition of Einstein's gravitational field is useful in the post-Newtonian approximation. We obtain the full non-quadratic Einstein-Hilbert action in terms of these fields as well as the harmonic gauge fixing term and find fairly simple expressions. We discuss alternatives to the harmonic gauge.

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