Rigidly Rotating Strings in Stationary Spacetimes

TL;DR

This paper investigates the behavior of rigidly rotating Nambu-Goto strings in stationary spacetimes, providing explicit solutions in flat spacetime and discovering new solution families in Kerr spacetime, with a detailed classification.

Contribution

It introduces new solutions for rigidly rotating strings in Kerr spacetime and classifies these solutions, expanding understanding of string dynamics in curved backgrounds.

Findings

Explicit solutions in flat spacetime

New family of solutions in Kerr spacetime

Detailed classification of solutions in Kerr background

Abstract

In this paper we study the motion of a rigidly rotating Nambu-Goto test string in a stationary axisymmetric background spacetime. As special examples we consider the rigid rotation of strings in flat spacetime, where explicit analytic solutions can be obtained, and in the Kerr spacetime where we find an interesting new family of test string solutions. We present a detailed classification of these solutions in the Kerr background.