Azimuthal geodesics in closed FLRW cosmological models
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917834137796608 |
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| author | Boehmer, Christian G. del Sordo, Antonio d'Alfonso Hartmann, Betti Münch, Linus Elias |
| author_facet | Boehmer, Christian G. del Sordo, Antonio d'Alfonso Hartmann, Betti Münch, Linus Elias |
| contents | We study geodesics in Friedmann-Lema{\^ı}tre-Robertson-Walker (FLRW) cosmological models and give the full set of solutions. For azimuthal geodesics, in a closed universe, we give the angular distance travelled by a test particle moving along such a geodesic during one cycle of expansion and re-collapse of the universe. We extend previous results regarding the path followed by light rays to the two-fluid case, also including a cosmological constant, as well as to massive test particles. Our work contains various new results and explicit formulae, often using special functions which naturally appear in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18119 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Azimuthal geodesics in closed FLRW cosmological models Boehmer, Christian G. del Sordo, Antonio d'Alfonso Hartmann, Betti Münch, Linus Elias General Relativity and Quantum Cosmology We study geodesics in Friedmann-Lema{\^ı}tre-Robertson-Walker (FLRW) cosmological models and give the full set of solutions. For azimuthal geodesics, in a closed universe, we give the angular distance travelled by a test particle moving along such a geodesic during one cycle of expansion and re-collapse of the universe. We extend previous results regarding the path followed by light rays to the two-fluid case, also including a cosmological constant, as well as to massive test particles. Our work contains various new results and explicit formulae, often using special functions which naturally appear in this setting. |
| title | Azimuthal geodesics in closed FLRW cosmological models |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.18119 |