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arXiv · 1009.1876

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

Barak Kol·Michael Smolkin
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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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Barak Kol, Michael Smolkin. 2011-06-15. Einstein's action and the harmonic gauge in terms of Newtonian fields. https://doi.org/10.1103/physrevd.85.044029

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