On the Symmetries of the Edgar-Ludwig Metric

Details On the Symmetries of the Edgar-Ludwig Metric On the Symmetries of the Edgar-Ludwig Metric

2001-09-11

arxiv.org/abs/gr-qc/0109037v1

Class.Quant.Grav. 18 (2001) 5287-5292

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain TeX, 7 pages, No figures

Scientific paper

10.1088/0264-9381/18/23/321

The conformal Killing equations for the most general (non-plane 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.

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