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 -