On maximal globally hyperbolic vacuum space-times

Abstract

We prove existence and uniqueness of maximal global hyperbolic developments of vacuum general relativistic initial data sets with initial data (g,K) in Sobolev spaces $H^s\oplus H^{s-1}$ with integer s > n/2 +1.

various improvements

References in corpus (6)

• On Lorentzian causality with continuous metrics
• Elements of causality theory
• Overview of the proof of the Bounded $L^2$ Curvature Conjecture
• Geometric uniqueness for non-vacuum Einstein equations and applications
• Fixed points of reflections of compact convex sets and a characterization of state spaces of Jordan Banach algebras
• Rough solutions of Einstein vacuum equations in CMCSH gauge

Cited by in corpus (1)

• On the Existence of a Maximal Cauchy Development for the Einstein Equations - a Dezornification