Dirichlet Boundary Value Problems of the Ernst Equation
General Relativity and Quantum Cosmology
2016-08-16 v2
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 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.
Keywords
Cite
@article{arxiv.gr-qc/0109094,
title = {Dirichlet Boundary Value Problems of the Ernst Equation},
author = {Marcus Ansorg and Andreas Kleinwächter and Reinhard Meinel and Gernot Neugebauer},
journal= {arXiv preprint arXiv:gr-qc/0109094},
year = {2016}
}
Comments
22 pages, to appear in Phys. Rev. D, Correction of a misprint in equation (4)