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Local Well-Posedness for the Einstein--Vlasov System

Autor(en)
David Fajman
Abstrakt

We prove a local well-posedness result for the Einstein-Vlasov system in constant mean curvature-spatial harmonic gauge introduced in [L. Andersson and V. Moncrief, Ann. Henri Poincaré, 4 (2003), pp. 1-34], where local well-posedness for the vacuum Einstein equations is established. This work is based on the techniques developed therein. In addition, we use the regularity theory and techniques for proving the existence of solutions to the Einstein-Vlasov system, recently established in [H. Ringström, Oxford Math. Monogr., 2013], where the local stability problem for the Einstein-Vlasov system is solved in generalized harmonic gauge.

Organisation(en)
Gravitationsphysik
Journal
SIAM Journal on Mathematical Analysis
Band
48
Seiten
3270-3321
Anzahl der Seiten
52
ISSN
0036-1410
DOI
https://doi.org/10.1137/15M1030236
Publikationsdatum
2016
Peer-reviewed
Ja
ÖFOS 2012
103028 Relativitätstheorie, 103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Computational Mathematics, Analysis, Applied Mathematics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/3c4fd702-2a02-432d-aba9-9ac6d40f48d7