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29 March 2024
 
  » arxiv » 1106.4122

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The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
Aristophanes Dimakis ; Nils Kanning ; Folkert Mueller-Hoissen ;
Date 21 Jun 2011
AbstractWe generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In the case of the 2x2, respectively 3x3 matrix chiral model, this family of solutions admits reductions to solutions of the Ernst equation(s) describing stationary and axially symmetric (electro-) vacuum space-times. In this way we recover the Ernst potentials of multi-Kerr-NUT and multi-Demianski-Newman metrics.
Source arXiv, 1106.4122
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