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A general study is made of conformal vector fields on a four-dimensional Lorentz manifold with particular emphasis being laid on the structure of the zeros (critical points) of such vectors fields. The implications for general relativity are investigated and a discussion of conformal vector fields in generalized plane wave space-times is given. An attempt is made to clarify the well-known theorem of Bilyalov and Defrise-Carter.
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G. S. Hall (Tue,) studied this question.
www.synapsesocial.com/papers/6a15dd2f557f83931ae3c637 — DOI: https://doi.org/10.1063/1.528753
G. S. Hall
Journal of Mathematical Physics
University of Aberdeen
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