Summary
The Petrov classification of stationary axisymmetric empty space-times is discussed. An error in the work of Lewis is corrected, thus revealing a family of stationary axisymmetric empty space-times not included in the usual canonical form for such space-times.
Riassunto
Si discute la classificazione di Petrov degli spazio-tempi vuoti stazionariamente simmetrici rispetto agli assi. Si corregge un errore nel lavoro di Lewis, rivelando così una famiglia di spazio-tempi vuoti stazionariamente simmetrici rispetto agli assi non compresi nella comune forma canonica per tali spazio-tempi.
Реэюме
Обсуждается классификация стационарных аксиально-симме тричных пустых пространства и времени. Исправляется ощибка в работе Левиса, тем самым покаэывается, что семейство стационарных аксиально-симме тричных пространств и времен не включается в обычную каноническую форму для таких пространств и времен.
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References
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The work was carried out during the tenure, by one of the authors (R.K.D.), of a S.R.C. Research Studentship.
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Collinson, C.D., Dodd, R.K. Petrov classification of stationary axisymmetric empty space-times. Nuovo Cimento B (1965-1970) 62, 229–234 (1969). https://doi.org/10.1007/BF02710133
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DOI: https://doi.org/10.1007/BF02710133