Future of Bianchi I magnetic cosmologies with kinetic matter
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913393084989440 |
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| author | Lee, Ho Nungesser, Ernesto |
| author_facet | Lee, Ho Nungesser, Ernesto |
| contents | We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We also obtain the decay rates for the main variables. This generalises part of the work [V.~G.~LeBlanc, Classical Quantum Gravity 14, 2281-2301 (1997)] concerning the future behaviour of orthogonal perfect fluids with a linear equation of state in the presence of a magnetic field to the Vlasov case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00618 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Future of Bianchi I magnetic cosmologies with kinetic matter Lee, Ho Nungesser, Ernesto General Relativity and Quantum Cosmology Mathematical Physics We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We also obtain the decay rates for the main variables. This generalises part of the work [V.~G.~LeBlanc, Classical Quantum Gravity 14, 2281-2301 (1997)] concerning the future behaviour of orthogonal perfect fluids with a linear equation of state in the presence of a magnetic field to the Vlasov case. |
| title | Future of Bianchi I magnetic cosmologies with kinetic matter |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2312.00618 |