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17 September 2019
 
  » arxiv » gr-qc/9506016

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The Robinson-Trautman Type III Prolongation Structure Contains K$_2$
J. D. Finley ; III ;
Date 7 Jun 1995
Journal Commun.Math.Phys. 178 (1996) 375-390
Subject General Relativity and Quantum Cosmology; Exactly Solvable and Integrable Systems | gr-qc nlin.SI solv-int
AffiliationUniv. of New Mexico
AbstractThe minimal prolongation structure for the Robinson-Trautman equations of Petrov type III is shown to always include the infinite-dimensional, contragredient algebra, K$_2$, which is of infinite growth. Knowledge of faithful representations of this algebra would allow the determination of Bäcklund transformations to evolve new solutions.
Source arXiv, gr-qc/9506016
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