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Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model
Philippe G. LeFloch, Yue Ma
Significant advances were made in recent years on the global evolution problem for self-gravitating massive matter in the small-perturbative regime close to Minkowski spacetime. To…
Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime
Philippe G. LeFloch, Yue Ma
We study the initial value problem for the Einstein-Klein-Gordon system and establish the global nonlinear stability of massive matter in the near-Minkowski regime when the initial…
Nonlinear stability of self-gravitating massive fields
Philippe G. LeFloch, Yue Ma
We consider the global evolution problem for Einstein's field equations in the near-Minkowski regime and study the long-time dynamics of a massive scalar field evolving under its o…
The global nonlinear stability of Minkowski space for self-gravitating massive fields
Philippe G. LeFloch, Yue Ma
The theory presented in this monograph establishes the first mathematically rigorous result on the global nonlinear stability of self-gravitating matter under small perturbations o…