Nonlinear Stability of the Milne Model with Matter
- Author(s)
- Lars Andersson, David Fajman
- Abstract
We show that any 3+1-dimensional Milne model is future nonlinearly, asymptotically stable in the set of solutions to the Einstein-Vlasov system. For the analysis of the Einstein equations we use the constant-mean-curvature-spatial-harmonic gauge. For the distribution function the proof makes use of geometric L-2-estimates based on the Sasaki-metric. The resulting estimates on the energy-momentum tensor are then upgraded by employing the natural continuity equation for the energy density. The combination of L-2-estimates and the continuity equation reveals a powerful tool to analyze massive transport equations with potential applications beyond the result presented here.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
- Journal
- Communications in Mathematical Physics
- Volume
- 378
- Pages
- 261–298
- No. of pages
- 38
- ISSN
- 0010-3616
- DOI
- https://doi.org/10.1007/s00220-020-03745-w
- Publication date
- 04-2020
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103019 Mathematical physics
- Keywords
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Mathematical Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/0e201afd-95f8-4915-9a8e-943be245fa59