On almost Ehlers-Geren-Sachs theorems
| Autor: | Lee, Ho, Nungesser, Ernesto, Stalker, John |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | 2022 Class. Quantum Grav. 39 105006 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/ac655c |
| Popis: | We show assuming small data that massless solutions to the reflection symmetric Einstein-Vlasov system with Bianchi VII$_0$ symmetry which are not locally rotational symmetric, can be arbitrarily close to and will remain close to isotropy as regards {to} the shear. However in general the shear will not tend to zero and the Hubble normalised Weyl curvature will blow up. This generalises the work \cite{NHW,WHU}, which considered a non-tilted radiation fluid to the massless Vlasov case. This represents another example of the fact that almost Ehlers-Geren-Sachs theorems do not hold in general and that collisionless matter behaves differently than a perfect fluid. Comment: 26 pages, 1 figure; matches accepted version in CQG; presentation improved, minor typos corrected |
| Databáze: | arXiv |
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