Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916730302889984 |
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| author | Lee, Ho Nungesser, Ernesto Stalker, John Tod, Paul |
| author_facet | Lee, Ho Nungesser, Ernesto Stalker, John Tod, Paul |
| contents | We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with three commuting spatial translations. We show that there are no solutions in the case that the matter model is a radiation fluid. If the matter is described via kinetic theory we obtain that there exist unique solutions to the Einstein-Vlasov system and the Einstein-Boltzmann system for a certain range of soft potentials. For both the Vlasov and the Boltzmann case we also obtain asymptotic expansions close to the initial conformal gauge singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10736 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity Lee, Ho Nungesser, Ernesto Stalker, John Tod, Paul General Relativity and Quantum Cosmology Mathematical Physics We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with three commuting spatial translations. We show that there are no solutions in the case that the matter model is a radiation fluid. If the matter is described via kinetic theory we obtain that there exist unique solutions to the Einstein-Vlasov system and the Einstein-Boltzmann system for a certain range of soft potentials. For both the Vlasov and the Boltzmann case we also obtain asymptotic expansions close to the initial conformal gauge singularity. |
| title | Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2408.10736 |