Local Existence and Uniqueness for Exterior Static Vacuum Einstein Metrics
نویسنده
چکیده
We study solutions to the static vacuum Einstein equations on domains of the form M ' R \B with prescribed Bartnik data (γ,H) on the inner boundary ∂M . It is proved that for any smooth boundary data (γ,H) close to standard round data on the unit sphere (γ+1, 2), there exists a unique asymptotically flat solution of the static vacuum Einstein equations realizing the boundary data (γ,H) which is close to the standard flat solution.
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