The global nonlinear stability of minkowski spacetime for self-gravitating massive fields

Abstract

We address the global evolution problem for the Einstein equations of general relativity and investigate the global geometry of matter spacetimes that are initially close to Minkowski spacetime. First, we provide a review the equations of Einstein’s gravity and then f(R)-gravity. We present their relationship and, next, the wave-Klein-Gordon formalism. Finally, we discuss our new statements of nonlinear stability of massive fields.