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19 October 2019
 
  » arxiv » gr-qc/0004034

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Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies
G. A. Alekseev ; J. B. Griffiths ;
Date 12 Apr 2000
Journal Phys.Rev.Lett. 84 (2000) 5247-5250
Subject gr-qc
AbstractFor 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.
Source arXiv, gr-qc/0004034
Other source [GID 46707] pmid10990915
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