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

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

1995-06-07

arxiv.org/abs/gr-qc/9506016v1

Commun.Math.Phys. 178 (1996) 375-390

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, plain TeX, no figures, submitted to Commun. Math. Phys

Scientific paper

10.1007/BF02099453

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
B\"acklund transformations to evolve new solutions.

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