Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-28
Int.J.Geom.Meth.Mod.Phys.4:437-456,2007
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 4 figures, revtex. Expressions for electromagnetic field are corrected
Scientific paper
10.1142/S0219887807002089
We discuss and prove an extended version of the Kerr theorem which allows one to construct 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=1...k$. Solutions have an unusual multi-sheeted structure. Twistorial structures of the i-th and j-th particles do not feel each other, forming a type of its internal space. Gravitational and electromagnetic interaction of the particles occurs via the light-like singular twistor lines. As a result, each particle turns out to be `dressed' by singular pp-strings connecting it to other particles. We argue that this solution may have a relation to quantum theory and to quantum gravity.
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