Wonderful Consequences of the Kerr Theorem
Abstract
Kerr's multi-particle solution is obtained on the base of the Kerr theorem. Choosing generating function of the Kerr theorem as a product of partial functions for spinning particles i=1,...k, we obtain a multi-sheeted, multi-twistorial space-time over possessing unusual properties. Twistorial structures of the i-th and j-th particles do not feel each other, forming a type of its internal space. Gravitation and electromagnetic interaction of the particles occurs via a singular twistor line which is common for twistorial structures of interacting particles. The obtained multi-particle Kerr-Newman solution turns out to be `dressed' by singular twistor lines linked to surrounding particles. We conjecture that this structure of space-time has the relation to a stringy structure of vacuum and opens a geometrical way to quantum gravity.
Keywords
Cite
@article{arxiv.hep-th/0506006,
title = {Wonderful Consequences of the Kerr Theorem},
author = {Alexander Burinskii},
journal= {arXiv preprint arXiv:hep-th/0506006},
year = {2008}
}
Comments
v.2, added the proof that solutions are exact, plenary talk at the Russian conference GR-12 (Kazan', June 2005), and talks at the workshops: SQS (Dubna, 27 July) and `Symmetry and Spin' (Prague, August 2005)