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Solitonic gravitational waves in Bianchi II cosmologies. 1. The general framework

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Abstract

The inverse scattering method is applied to a class of space-times belonging to the Bianchi types I–VII. Solitonic perturbations corresponding to one or two poles on an arbitrary cosmological background are described in detail. The fundamental matrixψ 0 is explicitly calculated for a Bianchi II background, thus providing the first known example of a non-diagonal case.

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References

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Author notes

  1. V. Belinski

    Present address: Landau Institute for Theoretical Physics, USSR Academy of Sciences, Moscow, USSR

Authors and Affiliations

  1. Institute of Mathematical Physics, University of Torino, Via C. Alberto 10, 10123, Torino, Italy

    V. Belinski & M. Francaviglia

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  1. V. Belinski
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  2. M. Francaviglia
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Belinski, V., Francaviglia, M. Solitonic gravitational waves in Bianchi II cosmologies. 1. The general framework. Gen Relat Gravit 14, 213–229 (1982). https://doi.org/10.1007/BF00756058

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  • DOI: https://doi.org/10.1007/BF00756058

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