The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution

Details The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution

2000-10-15

arxiv.org/abs/gr-qc/0010058v1

Gen.Rel.Grav.33:1985-2014,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages LaTeX

Scientific paper

10.1023/A:1013003110831

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.

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