The conformal Einstein field equations with massless Vlasov matter
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Pagination
1 - 44
Publisher
DOI
10.5802/aif.3414
Journal
Annales de l’institut Fourier
ISSN
0373-0956
Metadata
Show full item recordAbstract
We prove the stability of de Sitter space-time as a solution to the Einstein–Vlasov system with massless particles. The semi-global stability of Minkowski space-time is also addressed. The proof relies on conformal techniques, namely Friedrich’s conformal Einstein field equations. We exploit the conformal invariance of the massless Vlasov equation on the cotangent bundle and adapt Kato’s local existence theorem for symmetric hyperbolic systems to prove a long enough time of existence for solutions of the evolution system implied by the Vlasov equation and the conformal Einstein field equations.
Authors
Joudioux, J; Thaller, M; Valiente Kroon, JACollections
- Mathematics [1472]