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  Nonlinear stability of the Milne model with matter

Andersson, L., & Fajman, D. (submitted). Nonlinear stability of the Milne model with matter.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-586F-F Version Permalink: http://hdl.handle.net/21.11116/0000-0003-5870-C
Genre: Paper

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1709.00267.pdf (Preprint), 386KB
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 Creators:
Andersson, Lars1, Author              
Fajman, David, 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: Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
 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.

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 Dates: 2017-09-012019
 Publication Status: Submitted
 Pages: 33 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1709.00267
URI: http://arxiv.org/abs/1709.00267
 Degree: -

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