Local Stability to the Einstein-Euler System in Schwarzschild Space-time

Local Stability to the Einstein-Euler System in Schwarzschild Space-time

We study the Schwarzschild spacetime solutions to the Einstein-Euler equations. In our analysis, we aim to show local stability under small perturbations. To resolve this problem, we use the Nash-Moser (-Hamilton) theorem. The work was originally developed for the nonrelativistic Euler-Poisson equat...

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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2022-04, Vol.38 (2), p.352-367
Hauptverfasser: Wu, Jun, Guo, Bo-ling
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Euler-Lagrange equation
Math Applications in Computer Science
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Perturbation
Poisson equation
Stability analysis
Theoretical
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Beschreibung
Zusammenfassung:We study the Schwarzschild spacetime solutions to the Einstein-Euler equations. In our analysis, we aim to show local stability under small perturbations. To resolve this problem, we use the Nash-Moser (-Hamilton) theorem. The work was originally developed for the nonrelativistic Euler-Poisson equations.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-022-1082-8