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In this paper we prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition.
Zum unitätsproblem in der physik
Theodor Kaluza · 1921
Earlier work this paper cites.
Quantentheorie und fünfdimensionale relativitätstheorie
Oskar” Klein · 1926
Earlier work this paper cites.
Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires
Y. Fourés-Bruhat · 1952
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Global aspects of the cauchy problem in general relativity
Yvonne Choquet-Bruhat and Robert Geroch · 1969
Earlier work this paper cites.
Un théorème d’instabilité pour certaines équations hyperboliques non linéaires
Yvonne Choquet-Bruhat · 1973
Earlier work this paper cites.
Instability of the Kaluza-Klein Vacuum
Edward Witten · 1982
Earlier work this paper cites.
Long time behavior of solutions to nonlinear wave equations
Sergiu Klainerman, editor · 1983
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Global solutions of nonlinear hyperbolic equations for small initial data
Demetrios Christodoulou · 1986
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The null condition and global existence to nonlinear wave equations
S. Klainerman · 1986
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The Global Nonlinear Stability of the Minkowski Space
D. Christodoulou and S. Klainerman · 1993
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The weak null condition for Einstein’s equations
Hans Lindblad and Igor Rodnianski · 2003
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Global existence for the einstein vacuum equations in wave coordinates
Hans Lindblad and Igor Rodnianski · 2005
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Global solutions of the Einstein-Maxwell equations in higher dimensions
Yvonne Choquet-Bruhat, Piotr T. Chrusciel, and Julien Loizelet · 2006
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Solutions globales des équations d’Einstein-Maxwell
Julien Loizelet · 2009
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The global stability of Minkowski space-time in harmonic gauge
Hans Lindblad and Igor Rodnianski · 2010
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The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates
Jared Speck · 2014
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The global nonlinear stability of minkowski space for the einstein equations in the presence of a massive field
Philippe G. LeFloch and Yue Ma · 2016
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Lectures on Kaluza-Klein Theory
Chris Pope · 2017
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