Petrov type N vacuum metrics and homothetic motions
- 1 June 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (6) , 1115-1117
- https://doi.org/10.1063/1.524162
Abstract
Petrov type N vacuum spaces which admit an expanding and/or twisting principal null congruence and a homothetic motion are considered. It is shown that there are no such spaces which admit two Killing vectors, or one Killing vector of special type. If there are no Killing vectors present, the form of the homothetic Killing vector is restricted to one possibility.Keywords
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