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Remarks about higher-order poles in the Belinsky-Zakharov method for Einstein equations

Замечания о полюсах высшего порядка в методе Белинского-Захарова для уравнений Эинштейна

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Il Nuovo Cimento B (1971-1996)

Summary

We discuss here an extended version of the Belinsky-Zakharov method, which is based on a scattering matrix with an arbitrary number of poles of arbitrary order. Conditions for the symmetry ofg ab are obtained. Examples on Minkowski background are calculated.

Riassunto

Si discute una recente generalizzazione del metodo di Belinsky e Zakharov, che permette d’introdurre e utilizzare matrici di scattering con un numero di poli di ordine qualsiasi. Si ottengono condizioni di simmetria perg ab e si calcolano esempi espliciti sulla «base» costituita dallo spazio-tempo piatto di Minkowski.

Резюме

Мы обсуждаем в этой работе расширенный вариант метода Белинского-Захарова, который основан на матрице рассеяния с произвольным числом полюсов произвольного порядка. Получаются условия для симметрииg ab . Рассматриваются примеры в пространстве-времени Минковского.

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Authors and Affiliations

  1. Istituto di Fisica Matematica «J.-L. Lagrange», Via C. Alberto 10, 10123, Torino

    M. Francaviglia & C. Sgarra

Authors
  1. M. Francaviglia
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  2. C. Sgarra
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Francaviglia, M., Sgarra, C. Remarks about higher-order poles in the Belinsky-Zakharov method for Einstein equations. Nuov Cim B 80, 223–230 (1984). https://doi.org/10.1007/BF02722261

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  • DOI: https://doi.org/10.1007/BF02722261

PACS. 04.20

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