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28 July 2021
  » pubmed » pmid10990915

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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 5 Jun 2000
Journal Phys Rev Lett, 84 (23), 5247-50
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 PubMed, pmid10990915
Other source [GID 46707] gr-qc/0004034
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