科研之友
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摘要
Symmetry analysis of a wave equation on a class of cylindrical symmetric static space-times (CSSS) is performed. The results are classified according to the Noether symmetries and metrics spaces. Symmetry algebras are found in flat metrics and in non-fiat background metrics. It turns out that the wave equation on these metrics admit strict (zero gauge) Noether symmetry groups of dimension 5, 6, 7, 8 and 12. Conserved forms for the wave equation are constructed by the application of Noether's theorem.
- 出版日期2015
