Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-04-12
Phys.Rev.Lett.84:5247-5250,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, minor correction and reduction to conform with published version
Scientific paper
10.1103/PhysRevLett.84.5247
For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein--Maxwell equations as represented by their Ernst potentials. This hierarchy contains three arbitrary rational functions of an auxiliary complex parameter. They are constructed using the so called `monodromy transform' approach and our new method for the solution of the linear singular integral equation form of the reduced Einstein equations. The solutions presented, which describe inhomogeneous cosmological models or gravitational and electromagnetic waves and their interactions, include a number of important known solutions as particular cases.
Alekseev George A.
Griffiths Jerry B.
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