String-Like Structures in Complex Kerr Geometry

TL;DR

This paper explores the representation of Kerr geometry through complex world-lines and strings, revealing a connection between complex Kerr sources and string equations, with implications for the structure of spacetime.

Contribution

It demonstrates that the complex Kerr source satisfies string equations and introduces an orbifold-like structure in Kerr geometry, linking complex world-lines to string theory concepts.

Findings

Complex Kerr sources satisfy string equations

Kerr geometry has an orbifold-like world-sheet structure

Complex Euclidean strings relate to Kerr spacetime geometry

Abstract

The Kerr geometry is represented as being created by a source moving along an analytical complex world-line. The equivalence of this complex world-line and an Euclidean version of complex strings (hyperbolic strings) is discussed. It is shown that the complex Kerr source satisfies the corresponding string equations. The boundary conditions of the complex Euclidean strings require an orbifold-like structure of the world-sheet. The related orbifold-like structure of the Kerr geometry is discussed.