... of the Einstein-Klein-Gordon system. The main theorems include a proof of global regularity (in wave coordinates) of solutions of the Einstein-Klein-Gordon coupled system, in the case of small, smooth, and localized perturbations of the stationary Minkowski solution; precise asymptotics of the metric components...

...This chapter proves the main theorems. It begins with global regularity and asymptotics. The chapter considers the future-directed causal geodesics in spacetime, and proves that they extend forever (in the affine parametrization) and become asymptotically parallel to the geodesics of the Minkowski...

...This book provides a definitive proof of global nonlinear stability of Minkowski spacetime as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models. The book proves global...