The Kerr theorem, KerrSchild formalism and multiparticle KerrSchild solutions
Abstract
We consider an extended version of the Kerr theorem incorporated in the KerrSchild formalism. It allows one to construct the series of exact solutions of the EinsteinMaxwell field equations from a holomorphic generating function $F$ of twistor variables. The exact multiparticle KerrSchild 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=1...k$. Gravitational and electromagnetic interaction of the spinning particles occurs via the lightlike singular twistor lines. As a result, each spinning particle turns out to be `dressed' by singular ppstrings connecting it to other particles. Physical interpretation of this solution is discussed.
 Publication:

Gravitation and Cosmology
 Pub Date:
 June 2006
 arXiv:
 arXiv:grqc/0610007
 Bibcode:
 2006GrCo...12..119B
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 Brief version of hepth/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, 26 March 2006