The Robinson-Trautman type III prolongation structure containsK 2 |
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Authors: | J. D. Finley III |
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Affiliation: | (1) Department of Physics and Astronomy, University of New Mexico, 87131 Albuquerque, NM, USA |
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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,K2, 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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