3 papers
gr-qc1999
Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk
C. Klein, O. Richter
Disks of collisionless particles are important models for certain galaxies and accretion disks in astrophysics. We present here a solution to the stationary axisymmetric Einstein e…
gr-qc1998
Riemann-Hilbert Problems for the Ernst Equation and Fibre Bundles
C. Klein, O. Richter
Riemann--Hilbert techniques are used in the theory of completely integrable differential equations to generate solutions that contain a free function which can be used at least in…
gr-qc1998
Physically Realistic Solutions to the Ernst Equation on Hyperelliptic Riemann Surfaces
C. Klein, O. Richter
We show that the class of hyperelliptic solutions to the Ernst equation (the stationary axisymmetric Einstein equations in vacuum) previously discovered by Korotkin and Neugebauer…