Einstein's action and the harmonic gauge in terms of Newtonian fields
Barak Kol, Michael Smolkin
TL;DR
This paper reformulates Einstein's gravitational action using Newtonian fields within the harmonic gauge, providing simplified expressions and exploring alternative gauge choices for better understanding in the post-Newtonian regime.
Contribution
It derives the full Einstein-Hilbert action in terms of Newtonian fields and harmonic gauge, offering new simplified expressions and discussing alternative gauges.
Findings
Derived the Einstein-Hilbert action in Newtonian variables.
Presented simplified expressions for the action and gauge fixing.
Explored alternatives to the harmonic gauge.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.