Future stability of the 1 + 3 Milne model for the Einstein–Klein–Gordon system
Future stability of the 1 + 3 Milne model for the Einstein–Klein–Gordon system
We study the small perturbations of the $1+3$-dimensional Milne model for the Einstein-Klein-Gordon (EKG) system. We prove the nonlinear future stability, and show that the perturbed spacetimes are future causally geodesically complete. For the proof, we work within the constant mean curvature (CMC) gauge and focus on the $1+3$ splitting …