Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 2 Oct 2024 |
Abstract
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2024.
Research output: Working paper/Preprint › Preprint
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TY - UNPB
T1 - The Newtonian limit of orthonormal frames in metric theories of gravity
AU - Schwartz, Philip K.
AU - Blanckenburg, Arian L. von
N1 - 11+3+2 pages (main text + references + appendix). v2: reference updated
PY - 2024/10/2
Y1 - 2024/10/2
N2 - 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.
AB - 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.
M3 - Preprint
BT - The Newtonian limit of orthonormal frames in metric theories of gravity
ER -