The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
A procedure is described for matching a given stationary axisymmetric perfect fluid solution to a not necessarily asymptotically flat vacuum exterior. Using data on the zero pressure surface, the procedure yields the Ernst potential of the matching vacuum metric on the symmetry axis. From this the full metric can be constructed using a variety of well established procedures.
Keywords
Cite
@article{arxiv.gr-qc/0010058,
title = {The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution},
author = {I. Hauser and F. J. Ernst},
journal= {arXiv preprint arXiv:gr-qc/0010058},
year = {2008}
}
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29 pages LaTeX