The Kerr theorem, Kerr-Schild formalizm and multiparticle Kerr-Schild solutions

Abstract

We consider an extended version of the Kerr theorem incorporated in the Kerr-Schild formalism. It allows one to construct the series of exact solutions of the Einstein-Maxwell field equations from a holomorphic generating function $F$ of twistor variables. The exact multiparticle Kerr-Schild solutions are obtained from generating function of the form $F={\prod }_i^k{F}_i,$ where $F_i$ are partial generating functions for the spinning particles $i=\mathrm{1...}k$. Gravitational and electromagnetic interaction of the spinning particles occurs via the light-like singular twistor lines. As a result, each spinning particle turns out to be `dressed' by singular pp-strings connecting it to other particles. Physical interpretation of this solution is discussed.

Brief version of hep-th/0510246. Plenary talk at the Intern. Conf. on Gravitation, Cosmology, Astrophysics and Nonstationary Gas Dynamics, dedicated to Prof. K.P. Staniukovich's 90th birthday, Moscow, 2-6 March 2006