Does rotation generate a massive string ?

TL;DR

This paper explores the spacetime structure of a rotating massive string with intrinsic angular momentum, revealing unique topological features and a nonzero Sagnac delay even without rotation.

Contribution

It introduces a model of a stationary rotating massive string with intrinsic spin and analyzes its geometric and topological properties.

Findings

Spacetime is Minkowskian but with nontrivial topology due to rotation.

Mass per unit length is proportional to angular velocity.

Nonvanishing Sagnac delay occurs even when angular velocity is zero.

Abstract

The properties of a stationary massive string endowed with intrinsic angular momentum are investigated. The spacetime is generated by an "improper" time translation combined with uniform rotation. The mass per unit length of the string is proportional to the angular velocity $\omega$. The spacetime is Minkowskian geometrically but the topology is nontrivial thanks to the event horizon located on the surface $r = 0$ (similar with Rindler's spacetime) and to the deficit angle generated by rotation. The Sagnac time delay is calculated. It proves to be nonvanishing even when $\omega = 0$ due to the intrinsic spin of the string.