The Kerr Theorem, Multisheeted Twistor Spaces and Multiparticle Kerr-Schild Solutions

TL;DR

This paper extends the Kerr-Schild formalism by integrating the Kerr Theorem with higher-degree polynomials, resulting in multisheeted twistor spaces and multiparticle solutions.

Contribution

It introduces a generalization of the Kerr-Schild formalism using higher-degree polynomials in the Kerr Theorem, enabling multisheeted twistor spaces and multiparticle solutions.

Findings

Development of multisheeted twistor spaces

Construction of multiparticle Kerr-Schild solutions

Enhanced understanding of complex spacetime structures

Abstract

Kerr-Schild formalism is generalized by incorporation of the Kerr Theorem with polynomials of higher degrees in $Y\in CP^1.$ It leads to multisheeted twistor spaces and multiparticle solutions.