Local Well-Posedness for the Einstein--Vlasov System
- Author(s)
- David Fajman
- Abstract
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(s)
- Gravitational Physics
- Journal
- SIAM Journal on Mathematical Analysis
- Volume
- 48
- Pages
- 3270-3321
- No. of pages
- 52
- ISSN
- 0036-1410
- DOI
- https://doi.org/10.1137/15M1030236
- Publication date
- 2016
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Keywords
- ASJC Scopus subject areas
- Computational Mathematics, Analysis, Applied Mathematics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/local-wellposedness-for-the-einsteinvlasov-system(3c4fd702-2a02-432d-aba9-9ac6d40f48d7).html