The Newtonian limit of orthonormal frames in metric theories of gravity
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908691890962432 |
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| author | Schwartz, Philip K. von Blanckenburg, Arian L. |
| author_facet | Schwartz, Philip K. von Blanckenburg, Arian L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Newtonian limit of orthonormal frames in metric theories of gravity Schwartz, Philip K. von Blanckenburg, Arian L. General Relativity and Quantum Cosmology Mathematical Physics History and Philosophy of Physics 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. |
| title | The Newtonian limit of orthonormal frames in metric theories of gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2410.01800 |