Static vacuum Einstein metrics on bounded domains

Abstract

We study the existence and uniqueness of solutions to the static vacuum Einstein equations in bounded domains, satisfying the Bartnik boundary conditions of prescribed metric and mean curvature on the boundary.

30pp

References in corpus (3)

• Unique continuation results for Ricci curvature and applications
• On the Bartnik extension problem for the static vacuum Einstein equations
• Conformal immersions of prescribed mean curvature in R^3