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  Dirichlet boundary value problems of the Ernst equation

Ansorg, M., Kleinwächter, A., Meinel, R., & Neugebauer, G. (2002). Dirichlet boundary value problems of the Ernst equation. Physical Review D, 65(4): 044006. doi:10.1103/PhysRevD.65.044006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-53F8-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-53F9-A
Genre: Journal Article

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e044006.pdf (Publisher version), 132KB
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Ansorg, Marcus1, Author
Kleinwächter, Andreas, Author
Meinel, Reinhard, Author
Neugebauer, Gernot, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We demonstrate how the solution to an exterior Dirichlet boundary value problem of the axisymmetric, stationary Einstein equations can be found in terms of generalized solutions of the Bäcklund type. The proof that this generalization procedure is valid is given, which also proves conjectures about earlier representations of the gravitational field corresponding to rotating disks of dust in terms of Bäcklund-type solutions. As a further result, we find that, in contrast with the Laplace equation, arbitrary boundary values may not be prescribed.

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 Dates: 2002-02
 Publication Status: Published in print
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Title: Physical Review D
  Alternative Title : Phys. Rev. D
Source Genre: Journal
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Pages: - Volume / Issue: 65 (4) Sequence Number: 044006 Start / End Page: - Identifier: ISSN: 0556-2821