Toroidal Spiral Nambu-Goto Strings around Higher-Dimensional Black Holes

TL;DR

This paper finds stationary toroidal spiral string solutions around five-dimensional Myers-Perry black holes, revealing new stable string configurations in higher-dimensional gravity.

Contribution

It introduces the first explicit solutions of stationary toroidal spiral Nambu-Goto strings in five-dimensional black hole spacetimes.

Findings

Existence of stationary toroidal spiral strings around five-dimensional black holes

Identification of innermost stable toroidal spiral configurations

Comparison with geodesic particle orbits in higher dimensions

Abstract

We present solutions of the Nambu-Goto equation for test strings in a shape of toroidal spiral in five-dimensional spacetimes. In particular, we show that stationary toroidal spirals exist around the five-dimensional Myers-Perry black holes. We also show the existence of innermost stationary toroidal spirals around the five-dimensional black holes like geodesic particles orbiting around four-dimensional black holes.