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  The Conformal Einstein Field Equations with Massless Vlasov Matter

Joudioux, J., Thaller, M., & Kroon, J. A. V. (in press). The Conformal Einstein Field Equations with Massless Vlasov Matter. Annales de l'Institut Fourier. Retrieved from http://arxiv.org/abs/1903.12251.

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1903.12251.pdf (Preprint), 388KB
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 Creators:
Joudioux, Jérémie1, Author              
Thaller , Maximilian, Author
Kroon , Juan A. Valiente, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,
 Abstract: 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.

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 Dates: 2019-03-282021
 Publication Status: Accepted / In Press
 Pages: 27 pages
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 Rev. Type: -
 Identifiers: arXiv: 1903.12251
URI: http://arxiv.org/abs/1903.12251
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Title: Annales de l'Institut Fourier
Source Genre: Journal
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