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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 367500.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Dirichlet boundary value problems of the Ernst equation
Authors:Ansorg, Marcus; Kleinwächter, Andreas; Meinel, Reinhard; Neugebauer, Gernot
Date of Publication (YYYY-MM-DD):2002-02
Title of Journal:Physical Review D
Journal Abbrev.:Phys. Rev. D
Volume:65
Issue / Number:4
Sequence Number of Article:044006
Review Status:not specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
External Affiliations:Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743 Jena, Germany
Identifiers:DOI:10.1103/PhysRevD.65.044006
URL:http://link.aps.org/abstract/PRD/v65/e044006
ISSN:0556-2821
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