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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2406.12470 |
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| _version_ | 1866909226812571648 |
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| author | Jia, Qiuye |
| author_facet | Jia, Qiuye |
| contents | In this paper we prove that the topological pressure of dynamic systems with normally hyperbolic trapping is negative. In particular, this applies to the null geodesic flow in Kerr and Kerr-de Sitter spacetimes
This builds connection between results for trapped sets with low regularity in hyperbolic dynamic systems conditioning on negativity of the topological pressure and unconditional results in the setting of normally hyperbolic trapping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The topological pressure of trapped sets in Kerr-(de Sitter) spacetimes Jia, Qiuye Dynamical Systems General Relativity and Quantum Cosmology 37D30, 83C57, 35S50, 35L05 In this paper we prove that the topological pressure of dynamic systems with normally hyperbolic trapping is negative. In particular, this applies to the null geodesic flow in Kerr and Kerr-de Sitter spacetimes This builds connection between results for trapped sets with low regularity in hyperbolic dynamic systems conditioning on negativity of the topological pressure and unconditional results in the setting of normally hyperbolic trapping. |
| title | The topological pressure of trapped sets in Kerr-(de Sitter) spacetimes |
| topic | Dynamical Systems General Relativity and Quantum Cosmology 37D30, 83C57, 35S50, 35L05 |
| url | https://arxiv.org/abs/2406.12470 |