Dirichlet Boundary Value Problems of the Ernst Equation

Details Dirichlet Boundary Value Problems of the Ernst Equation Dirichlet Boundary Value Problems of the Ernst Equation

2001-09-28

arxiv.org/abs/gr-qc/0109094v2

Phys.Rev.D65:044006,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, to appear in Phys. Rev. D, Correction of a misprint in equation (4)

Scientific paper

10.1103/PhysRevD.65.044006

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 Backlund 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 Backlund type solutions.

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