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arXiv · 2410.01800

The Newtonian limit of orthonormal frames in metric theories of gravity

Philip K. Schwartz·Arian L. von Blanckenburg
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Abstract

We extend well-known results on the Newtonian limit of Lorentzian metrics to orthonormal frames. Concretely, we prove that, given a one-parameter family of Lorentzian metrics that in the Newtonian limit converges to a Galilei structure, any family of orthonormal frames for these metrics converges pointwise to a Galilei frame, assuming that the two obvious necessary conditions are satisfied: the spatial frame must not rotate indefinitely as the limit is approached, and the frame's boost velocity with respect to some fixed reference observer needs to converge.

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BibTeXRIS

Philip K. Schwartz, Arian L. von Blanckenburg. 2024-10-02. The Newtonian limit of orthonormal frames in metric theories of gravity. https://doi.org/10.1007/s10714-025-03490-2

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