Summary: 



THE STATIC EXTENSION PROBLEM IN GENERAL RELATIVITY



MICHAEL T. ANDERSON AND MARCUS A. KHURI



Abstract.We develop a framework for understanding the existence of asympt*
*otically flat solutions
to the static vacuum Einstein equations on M = R3\ B with geometric bound*
*ary conditions on
@M ' S2. A partial existence result is obtained, giving a partial resolut*
*ion of a conjecture of
Bartnik on such static vacuum extensions. The existence and uniqueness o*
*f such extensions is

Source: Anderson, Michael - Department of Mathematics, SUNY at Stony Brook

Collections: Mathematics