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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/2412.14266 |
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| _version_ | 1866911574109716480 |
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| author | Tiscareño, Tonatiuh Rodríguez, Benito Chagoya, Javier |
| author_facet | Tiscareño, Tonatiuh Rodríguez, Benito Chagoya, Javier |
| contents | We apply the Kosambi-Cartan-Chern theory to perform an extensive examination of Jacobi stability of geodesics around rotating black hole solutions to dynamical Chern-Simons gravity, a theory that introduces modifications to General Relativity via a scalar field non-minimally coupled to curvature scalars. We present a comparative study between Jacobi and Liapunov stability, pointing out the advantages of the more geometrical method over the usual Liapunov approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective Tiscareño, Tonatiuh Rodríguez, Benito Chagoya, Javier General Relativity and Quantum Cosmology Dynamical Systems 65L10, 65L12, G.1.0 We apply the Kosambi-Cartan-Chern theory to perform an extensive examination of Jacobi stability of geodesics around rotating black hole solutions to dynamical Chern-Simons gravity, a theory that introduces modifications to General Relativity via a scalar field non-minimally coupled to curvature scalars. We present a comparative study between Jacobi and Liapunov stability, pointing out the advantages of the more geometrical method over the usual Liapunov approach. |
| title | Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective |
| topic | General Relativity and Quantum Cosmology Dynamical Systems 65L10, 65L12, G.1.0 |
| url | https://arxiv.org/abs/2412.14266 |