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On the nonexistence of static solutions of the Einstein-Weyl equations in general relativity

Об отсутствии статических решений уравнений Эйнштейна-Вейля в общей теории относительности

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Il Nuovo Cimento B (1971-1996)

Summary

It is proved that the combined neutrino gravitational field equations in general relativity admit no nontrivial solutions in a static space-time provided that the energy flow vector of the neutrino field is timelike or null for all observers.

Riassunto

Si dimostra che le equazioni del campo neutrino-gravitazionale combinate in relatività generale non ammettono alcuna soluzione ovvia in uno spazio-tempo statico purché il vettore di flusso dell’energia del campo del neutrino sia temporale oppure nullo per tutti gli osservatori.

Резюме

Доказывается, что комбинированные уравнения для гравитационного и нейтринного полей в общей в общей теории относительности не допускают нетривиальных решений в статическом пространстве-времени, при условии, что вектор потока энергии для нейтринного поля является времени-подобным или нулевым для всех наблюдателей.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, On.

    J. Wainwright

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  1. J. Wainwright
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Traduzione a cura della Redazione.

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Wainwright, J. On the nonexistence of static solutions of the Einstein-Weyl equations in general relativity. Nuov Cim B 22, 131–138 (1974). https://doi.org/10.1007/BF02737465

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  • DOI: https://doi.org/10.1007/BF02737465

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