Monodromy transform approach in the theory of integrable reductions of Einstein's field equations and some applications

Abstract

A brief sketch of the formulation of the monodromy transform approach and corresponding integral equation methods as well as of various applications of this approach for solution of integrable symmetry reductions of Einstein's field equations is presented.

arXiv comment3 pages, talk given at the Eleventh Marcel Grossmann Meeting (Berlin, July 23 - 29, 2006), submitted to MG11 Proceedings