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arXiv · gr-qc/9506016

The Robinson-Trautman Type III Prolongation Structure Contains K$_2$

J. D. Finley·III
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Abstract

The 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.

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BibTeXRIS

J. D. Finley, III. 1995-06-07. The Robinson-Trautman Type III Prolongation Structure Contains K$_2$. https://doi.org/10.1007/bf02099453

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