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The Robinson-Trautman Type III Prolongation Structure Contains K$_2$ | J. D. Finley
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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 | Affiliation: | Univ. of New Mexico | 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. | Source: | arXiv, gr-qc/9506016 | Services: | Forum | Review | PDF | Favorites |
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