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Dirichlet boundary value problems of the ernst equation (2001).
| Content Provider | CiteSeerX |
|---|---|
| Author | Ansorg, Marcus Kleinwächter, Andreas Meinel, Reinhard Neugebauer, Gernot |
| 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 to the Laplace equation, arbitrary boundary values may not be prescribed. 1 |
| File Format | |
| Publisher Date | 2001-01-01 |
| Access Restriction | Open |
| Subject Keyword | Ernst Equation Dirichlet Boundary Value Problem Exterior Dirichlet Boundary Value Problem Generalized Solution Cklund Type Solution Stationary Einstein Equation Generalization Procedure Laplace Equation Gravitational Field Arbitrary Boundary Value Cklund Type |
| Content Type | Text |