The Conformal Einstein Field Equations with Massless Vlasov Matter
| Autor: | Maximilian Thaller, Juan A. Valiente Kroon, Jérémie Joudioux |
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| Rok vydání: | 2021 |
| Předmět: |
Algebra and Number Theory
35L04 35Q75 35Q76 53A30 Vlasov equation FOS: Physical sciences Conformal map General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Massless particle Conformal symmetry De Sitter universe Minkowski space Einstein field equations Cotangent bundle Geometry and Topology Mathematics Mathematical physics |
| Zdroj: | Annales de l'Institut Fourier |
| Popis: | 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. 27 pages. To appear in Ann. Inst. Fourier |
| Databáze: | OpenAIRE |
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