INFINITE-DIMENSIONAL PROLONGATION STRUCTURES FOR THE ROBINSON-TRAUTMAN TYPE III METRIC

被引:0
作者
Ifidon, E. O. [1 ]
Oghre, E. O. [1 ]
机构
[1] Univ Benin, Dept Math, Benin, Nigeria
关键词
Robinson-Trautman equation; Kac-Moody algebra; contragradient algebra; Wahlquist and Estabrook prolongation; infinite-dimensional Lie algebra;
D O I
10.1016/S0034-4877(13)60036-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The universal covering symmetry algebra of the Robinson-Trautman equations of Petrov Type III is shown to include the infinite-dimensional Lie algebra A(2) circle plus C[lambda(-1), lambda], the loop algebra over A(2). This algebra has slower growth than the contragradient algebra K-2 obtained previously for this metric by other authors.
引用
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页码:353 / 362
页数:10
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