On the prolongation structures of Petrov type III vacuum spacetime equations

Details On the prolongation structures of Petrov type III vacuum spacetime equations On the prolongation structures of Petrov type III vacuum spacetime equations

2009-10-19

arxiv.org/abs/0910.3478v2

Physics

Mathematical Physics

Problems with the classification of the infinite-dimensional algebra

Scientific paper

The universal covering symmetry algebra of the Robinson-Trautman equations of
Petrov Type III is shown to include the infinite-dimensional affine Kac-Moody
algebra A_1 as a prolongation algebra. This algebra has slower growth than the
contragradient algebra K_2 obtained previously for this equation.

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