On the Symmetries of theEdgar-Ludwig Metric
نویسنده
چکیده
The conformal Killing equations for the most general (nonplane wave) conformally flat pure radiation field are solved to find the conformal Killing vectors. As expected fifteen independent conformal Killing vectors exist, but in general the metric admits no Killing or homothetic vectors. However for certain special cases a one-dimensional group of homotheties or motions may exist and in one very special case, overlooked by previous investigators, a two-dimensional homethety group exists. No higher dimensional groups of motions or homotheties are admitted by these metrics. † E-Mail: [email protected] Fax: +44 121 333 6215
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