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Symmetries of stationary axisymmetric empty space-times

Симметрии стационар ного осесимметрично го пустого пространства-времен и

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Il Nuovo Cimento B (1971-1996)

Summary

The symmetries of stationary axisymmetric empty spacetimes are investigated using the null tetrad notation of Newman and Penrose. An empty space-time of Petrov type II admitting a nontrivial symmetry is exhibited, thus contradicting a general result of Bialas and Bialas based on work by Petrov.

Riassunto

Si studiano le simmetrie degli spazi-tempi vuoti assisimmetrici stazionari facendo uso della notazione delia tetrade nulla di Newman e Penrose. Si presenta uno spazio-tempo vuoto del tipo II di Petrov che ammette una simmetria non banale, contraddicendo cosi un risultato generale di Bialas e Białas basato su un lavoro di Petrov.

Резюме

Используя обозначен ия Нрюмана и Пенроуза, исследуются симметр ии стационарного осеси мметричного пустого пространства-времен и. Показывается, что пустое пространс тво-время, типа II Петро ва, допускает нетривиал ьную симметрию, что противоречит общ ему результату Биала са и Биаласа, основанному на работе Петрова.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Hull, Mull

    C. D. Collinson & R. K. Dodd

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  1. C. D. Collinson
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  2. R. K. Dodd
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Collinson, C.D., Dodd, R.K. Symmetries of stationary axisymmetric empty space-times. Nuov Cim B 3, 281–294 (1971). https://doi.org/10.1007/BF02815342

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  • DOI: https://doi.org/10.1007/BF02815342

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