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Existence of stationary vacuum solutions of Einstein's equations in an exterior domain

Published online by Cambridge University Press:  17 February 2009

Jürgen Klenk
Jürgen Klenk
Affiliation:
IBM Zurich Research Laboratory, Säumerstrasse 4, 8803 Rüschlikon, Switzerland
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A proof is given for the existence and uniqueness of a stationary vacuum solution (M, g, ξ) of the boundary value problem consisting of Einstein's equations in an exterior domain M diffeomorphic to R × Σ (where Σ = R3\B(0, R)) and boundary data depending on the Killing field ξ on ∂Σ. The boundary data must be sufficiently close to that of a stationary, spatially conformally flat vacuum solution .

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 2 , October 1999 , pp. 231 - 247
Copyright
Copyright © Australian Mathematical Society 1999

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