The Kerr Theorem and Multi-Particle KERR-SCHILD Solutions
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In this paper, an extended version of the Kerr theorem is used to construct the exact solutions of the Einstein-Maxwell field equations from a holomorphic generating function F of twistor variables.Abstract:
We discuss an extended version of the Kerr theorem which allows one to construct the exact solutions of the Einstein–Maxwell field equations from a holomorphic generating function F of twistor variables. The exact multi-particle Kerr–Schild solutions are obtained from generating function of the form , where Fi are partial generating functions for the spinning particles i = 1 ⋯ k. Solutions have an unusual multi-sheeted structure. Twistorial structures of the ith and jth 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.read more
Citations
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The Dirac-Kerr-Newman electron
TL;DR: In this article, the Dirac-Kerr-Newman system was incorporated into the Kerr-Schild formalism as a master equation controlling the space-time structure of the spin spin.
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Stringlike structures in Kerr-Schild geometry: The N=2 string, twistors, and the Calabi-Yau twofold
TL;DR: In this article, it was shown that the four sheets of the twistorial K3 surface represent an analytic extension of the Kerr congruence created by antipodal involution.
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Complex Structure of the Four-Dimensional Kerr Geometry: Stringy System, Kerr Theorem, and Calabi-Yau Twofold
TL;DR: The 4D Kerr geometry displays many wonderful relations with quantum world and, in particular, with superstring theory as discussed by the authors, and the emergence of the Calabi-Yau twofold (K3 surface) in twistorial structure of the Kerr geometry as a consequence of the K3 theorem is shown in this paper.
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Algebraic roots of Newtonian mechanics: correlated dynamics of particles on a unique worldline
TL;DR: In this article, the Vieta formula is used to guarantee that, for any worldline, the law of (non-relativistic) momentum conservation is identically satisfied, and the general structure of Newtonian mechanics follows from algebraic properties of a worldline alone.
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Aligned electromagnetic excitations of a black hole and their impact on its quantum horizon
TL;DR: In this article, it was shown that elementary aligned electromagnetic excitations of black holes, as coming from exact Kerr-Schild solutions, represent light-like beams pulses which have a very strong back reaction on the metric and change the topology of the horizon.
References
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TL;DR: Twistor theory as mentioned in this paper is a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity, and it is represented here in two-component spinor terms.
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