Mathematics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..213b&link_type=abstract
General Relativity and Gravitation, vol. 14, Mar. 1982, p. 213-229. Research sponsored by the Consiglio Nazionale delle Ricerch
Mathematics
38
Astronomical Models, Cosmology, Gravitational Waves, Solitary Waves, Space-Time Functions, Inverse Scattering, Matrices (Mathematics), Perturbation Theory
Scientific paper
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 matrix psi sub 0 is explicitly calculated for a Bianchi II background, thus providing the first known example of a non-diagonal case.
Belinski V.
Francaviglia Mauro
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