Petrov classification of vacuum axisymmetric space-times
作者： S. Morisetti , C. Reina , A. Treves
DOI: 10.1007/BF00758942
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摘要: Using the null bivector approach, Petrov classification is studied for axisymmetric vacuum space-times with orthogonally transitive Killing vectors. It shown that equation on which based biquadratic. This excludes any such space-time can be type III. The only type-N manifolds are radiative solutions considered by Hoffman. Van Stockum most general type-II solutions. Degenerate Weyl and Kinnersley cover typeD. Stationary functional dependence of potential then examined. found that, except special cases, Papapetrou Lewis algebraically general.
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