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General Relativity and Quantum Cosmology

arXiv:2111.01065 (gr-qc)
[Submitted on 1 Nov 2021 (v1), last revised 18 Apr 2022 (this version, v2)]

Title:On almost Ehlers-Geren-Sachs theorems

Authors:Ho Lee, Ernesto Nungesser, John Stalker
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Abstract: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.
Comments: 26 pages, 1 figure; matches accepted version in CQG; presentation improved, minor typos corrected
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Cite as: arXiv:2111.01065 [gr-qc]
  (or arXiv:2111.01065v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2111.01065
Journal reference: 2022 Class. Quantum Grav. 39 105006
Related DOI: https://doi.org/10.1088/1361-6382/ac655c

Submission history

From: Ernesto Nungesser [view email]
[v1] Mon, 1 Nov 2021 16:28:39 UTC (73 KB)
[v2] Mon, 18 Apr 2022 19:20:21 UTC (76 KB)
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