Solitonic gravitational waves in Bianchi II cosmologies. II - One solitonic perturbations

Details Solitonic gravitational waves in Bianchi II cosmologies. II - One solitonic perturbations Solitonic gravitational waves in Bianchi II cosmologies. II - One solitonic perturbations

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16.1189b&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Dec. 1984, p. 1189-1209. Research sponsored by the Consiglio Nazio

Mathematics

11

Cosmology, Gravitational Waves, Perturbation Theory, Singularity (Mathematics), Solitary Waves, Space-Time Functions, Asymptotic Properties, Time Functions

Scientific paper

The one-solitonic perturbation of a Bianchi type II model cosmology is constructed analytically, applying the results of Belinskii and Francaviglia (1982) and the inverse-scattering techniques of Belinskii and Zakharov (1978). An inhomogeneous solitary gravitational shock wave is obtained, and its asymptotic behavior at time infinity and space infinity is investigated using a modified version of the oscillatory approach to singularities of Belinskii et al. (1970 and 1972).

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