Spinning scalar solitons in anti-de Sitter spacetime

TL;DR

This paper constructs and analyzes spinning scalar solitons, including Q-balls and boson stars, in four-dimensional anti-de Sitter spacetime, revealing quantized angular momentum and connections to static solutions.

Contribution

It introduces new spinning soliton solutions in AdS spacetime, including exact spherically symmetric Q-balls, expanding the understanding of scalar field configurations in curved backgrounds.

Findings

Angular momentum is quantized in these solutions.

Existence of solutions with a self-interaction potential that limit to static, axially symmetric solitons.

An exact spherically symmetric Q-ball solution in fixed AdS background.

Abstract

We present spinning Q-balls and boson stars in four dimensional anti-de Sitter spacetime. These are smooth, horizonless solutions for gravity coupled to a massive complex scalar field with a harmonic dependence on time and the azimuthal angle. Similar to the flat spacetime configurations, the angular momentum is quantized. We find that a class of solutions with a self-interaction potential has a limit corresponding to static solitons with axial symmetry only. An exact solution describing spherically symmetric Q-balls in a fixed AdS background is also discussed.