The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields
The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields
The Hyperboloidal Foliation Method (introduced by the authors in 2014) is extended here and applied to the Einstein equations of general relativity. Specifically, we establish the nonlinear stability of Minkowski spacetime for self-gravitating massive scalar fields, while existing methods only apply to massless scalar fields. First of all, by analyzing …