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Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity

Alternative title:
Homogeneous solutions to the Einstein-matter equations..
Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s13163-025-00525-9

Authors

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Role:
Author
ORCID:
0000-0002-3490-7204
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Funder identifier:
https://ror.org/013aysd81
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Funder identifier:
https://ror.org/03n6nwv02

Publisher:
Springer
Journal:
Revista Matemática Complutense More from this journal
Volume:
38
Issue:
3
Pages:
733-769
Publication date:
2025-05-07
Acceptance date:
2025-03-17
DOI:
EISSN:
1988-2807
ISSN:
1139-1138

Language:
English
Keywords:
Pubs id:
2124693
UUID:
uuid_6531049d-dd30-46e8-bba3-12c9e7967219
Local pid:
pubs:2124693
Source identifiers:
3366752
Deposit date:
2025-10-13
ARK identifier:
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