Static Orbits in Rotating Spacetimes

TL;DR

This paper investigates conditions under which rotating spacetimes contain static orbits, demonstrating their presence in various solutions like boson stars, wormholes, and black holes, with implications for understanding particle behavior in these geometries.

Contribution

It introduces the concept of static orbits in rotating spacetimes and shows their occurrence in multiple solutions, expanding understanding of particle dynamics in such geometries.

Findings

Static orbits exist in certain rotating spacetimes.

Examples include boson stars, wormholes, and Kerr-Newman black holes.

Static orbits are characterized by particles remaining at rest relative to distant observers.

Abstract

We show that under certain conditions an axisymmetric rotating spacetime contains a ring of points in the equatorial plane, where a particle at rest with respect to an asymptotic static observer remains at rest in a static orbit. We illustrate the emergence of such orbits for boson stars. Further examples are wormholes, hairy black holes and Kerr-Newman solutions.