Geodesic Motion in a Swirling Universe: The complete set of solutions
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909056915996672 |
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| author | Capobianco, Rogério Hartmann, Betti Kunz, Jutta |
| author_facet | Capobianco, Rogério Hartmann, Betti Kunz, Jutta |
| contents | We study the geodesic motion in a space-time describing a swirling universe. We show that the geodesic equations can be fully decoupled in the Hamilton-Jacobi formalism leading to an additional constant of motion. The analytical solutions to the geodesic equations can be given in terms of elementary and elliptic functions. We also consider a space-time describing a static black hole immersed in a swirling universe. In this case, full separation of variables is not possible and the geodesic equations have to be solved numerically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17347 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geodesic Motion in a Swirling Universe: The complete set of solutions Capobianco, Rogério Hartmann, Betti Kunz, Jutta General Relativity and Quantum Cosmology We study the geodesic motion in a space-time describing a swirling universe. We show that the geodesic equations can be fully decoupled in the Hamilton-Jacobi formalism leading to an additional constant of motion. The analytical solutions to the geodesic equations can be given in terms of elementary and elliptic functions. We also consider a space-time describing a static black hole immersed in a swirling universe. In this case, full separation of variables is not possible and the geodesic equations have to be solved numerically. |
| title | Geodesic Motion in a Swirling Universe: The complete set of solutions |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.17347 |