Stationary Rotating Strings as Relativistic Particle Mechanics

TL;DR

This paper characterizes stationary rotating strings in flat spacetime as geodesic motions, providing all solutions and analyzing their physical properties such as energy, angular momentum, and shape.

Contribution

It derives all solutions for stationary rotating strings in flat spacetime and discusses their physical characteristics, offering a comprehensive understanding of their configurations.

Findings

All solutions for stationary rotating strings are obtained.

The shapes of the strings are diverse and wiggly.

Average physical quantities like energy and momentum are analyzed.

Abstract

Stationary rotating strings can be viewed as geodesic motions in appropriate metrics on a two-dimensional space. We obtain all solutions describing stationary rotating strings in flat spacetime as an application. These rotating strings have infinite length with various wiggly shapes. Averaged value of the string energy, the angular momentum and the linear momentum along the string are discussed.