Small solutions of the Einstein-Boltzmann-scalar field system with Bianchi symmetry
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913392821796864 |
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| author | Lee, Ho Lee, Jiho Nungesser, Ernesto |
| author_facet | Lee, Ho Lee, Jiho Nungesser, Ernesto |
| contents | We show that small homogeneous solutions to the Einstein-Boltzmann-scalar field system exist globally towards the future and tend to the de Sitter solution in a suitable sense. More specifically, we assume that the spacetime is of Bianchi type I--VIII, that the matter is described by Israel particles and that there exists a scalar field with a potential which has a positive lower bound. This represents a generalization of the work [19], where a cosmological constant was considered, and a generalization of [16], where a spatially flat FLRW spacetime was considered. We obtain the global existence and asymptotic behavior of classical solutions to the Einstein-Boltzmann-scalar field system for small initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_07281 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Small solutions of the Einstein-Boltzmann-scalar field system with Bianchi symmetry Lee, Ho Lee, Jiho Nungesser, Ernesto General Relativity and Quantum Cosmology Mathematical Physics We show that small homogeneous solutions to the Einstein-Boltzmann-scalar field system exist globally towards the future and tend to the de Sitter solution in a suitable sense. More specifically, we assume that the spacetime is of Bianchi type I--VIII, that the matter is described by Israel particles and that there exists a scalar field with a potential which has a positive lower bound. This represents a generalization of the work [19], where a cosmological constant was considered, and a generalization of [16], where a spatially flat FLRW spacetime was considered. We obtain the global existence and asymptotic behavior of classical solutions to the Einstein-Boltzmann-scalar field system for small initial data. |
| title | Small solutions of the Einstein-Boltzmann-scalar field system with Bianchi symmetry |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2209.07281 |