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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.16513 |
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| _version_ | 1866909352426733568 |
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| author | Blixt, Daniel Cano, Alejandro Jiménez Wojnar, Aneta |
| author_facet | Blixt, Daniel Cano, Alejandro Jiménez Wojnar, Aneta |
| contents | In this work, we revise the concept of foliation and related aspects that are crucial when formulating the Hamiltonian evolution for various theories beyond General Relativity. In particular, we show the relation between the kinematic characteristics of timelike congruences (observers) and the existence of foliations orthogonal to them. We then explore how local Lorentz transformations acting on observers affect the existence of transversal foliations, provide examples, and discuss the implications of these results for the $3+1$ formulation of tetrad modified theories of gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16513 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Foliation-generating observers under Lorentz transformations Blixt, Daniel Cano, Alejandro Jiménez Wojnar, Aneta General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry In this work, we revise the concept of foliation and related aspects that are crucial when formulating the Hamiltonian evolution for various theories beyond General Relativity. In particular, we show the relation between the kinematic characteristics of timelike congruences (observers) and the existence of foliations orthogonal to them. We then explore how local Lorentz transformations acting on observers affect the existence of transversal foliations, provide examples, and discuss the implications of these results for the $3+1$ formulation of tetrad modified theories of gravity. |
| title | Foliation-generating observers under Lorentz transformations |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2408.16513 |