On the prolongation structures of Petrov type III vacuum spacetime equations
Mathematical Physics
2011-09-23 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0910.3478,
title = {On the prolongation structures of Petrov type III vacuum spacetime equations},
author = {E. O. Ifidon},
journal= {arXiv preprint arXiv:0910.3478},
year = {2011}
}
Comments
Problems with the classification of the infinite-dimensional algebra