Conformal symmetries and fixed points in space-time
- 1 May 1990
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (5) , 1198-1207
- https://doi.org/10.1063/1.528753
Abstract
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.Keywords
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