On a stationary spinning string spacetime

TL;DR

This paper analyzes a stationary massless spinning string spacetime with nontrivial topology, horizon features, and closed timelike curves, exploring its geometric properties and the effects of spin and rotation.

Contribution

It introduces a detailed study of a spinning string spacetime with nontrivial topology and horizon, including calculations of the Sagnac time delay and implications for closed timelike curves.

Findings

Spacetime is Minkowskian but topologically nontrivial due to a horizon.

Closed timelike curves are possible near the string for small radii.

The Sagnac time delay remains constant in this spacetime.

Abstract

The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's case. For $r$ less than the Planck length $b$, $g_{\phi\phi}$ has the same sign as $g_{tt}$ and closed timelike curves are possible. We assume an elementary particles' spin originates in the frame dragging effect produced by the rotation of the source. The Sagnac time delay is calculated and proves to be constant.