The Kerr theorem and multiparticle Kerr-Schild solutions

Alexander Burinskii

doi:10.1142/s0219887807002089

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arXiv · hep-th/0510246

The Kerr theorem and multiparticle Kerr-Schild solutions

Alexander Burinskii

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Abstract

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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Alexander Burinskii. 2006-04-03. The Kerr theorem and multiparticle Kerr-Schild solutions. https://doi.org/10.1142/s0219887807002089

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