Nonlinear Stability of the Milne Model with Matter

Autor(en)

Lars Andersson, David Fajman

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)

Journal

Communications in Mathematical Physics

Band

378

Seiten

261–298

Anzahl der Seiten

38

ISSN

0010-3616

DOI

https://doi.org/10.1007/s00220-020-03745-w

Publikationsdatum

04-2020

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Mathematical Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0e201afd-95f8-4915-9a8e-943be245fa59