Phys. Rev. Lett. 77, 3284–3287 (1996)The Boundary Value Problem for the Stationary and Axisymmetric Einstein Equations is Generically SolvableReceived 10 June 1996; published in the issue dated 14 October 1996 We prove existence, uniqueness, and regularity for Dirichlet solutions of the stationary and axisymmetric Einstein equations in vacuum and in rigidly rotating ideal fluid matter for data (on a ball) whose absolute values are in a characteristic way limited by the “diameter” of the ball. These results have important consequences for the existence of exterior vacuum and interior matter solutions for rotating stars. The mathematical procedures and results have remarkable connections with a numerical solution technique for rotating stars. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.3284
DOI:
10.1103/PhysRevLett.77.3284
PACS:
04.20.Ex, 02.30.Jr, 04.20.Cv, 04.40.Dg
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