# Rotating multistate boson stars

## TL;DR

This paper constructs and analyzes rotating multistate boson stars with coexisting scalar field states, revealing their phase structures, nodal properties, and dependencies of mass on frequency and angular momentum.

## Contribution

It introduces the first detailed study of rotating boson stars with two coexisting scalar states, including their phase coexistence, nodal structures, and parameter dependencies.

## Key findings

- Coexisting ground and first excited states in rotating boson stars.
- Identification of two types of nodal structures: $^1S^2S$ and $^1S^2P$.
- Mass dependence on frequency and angular momentum for multistate configurations.

## Abstract

In this paper, we construct rotating boson stars composed of the coexisting states of two scalar fields, including the ground and first excited states. We show the coexisting phase with both the ground and first excited states for rotating multistate boson stars. In contrast to the solutions of the nodeless boson stars, the rotating boson stars with two states have two types of nodes, including the $^1S^2S$ state and the $^1S^2P$ state. Moreover, we explore the properties of the mass $M$ of rotating boson stars with two states as a function of the synchronized frequency $\omega$, as well as the nonsynchronized frequency $\omega_2$. Finally, we also study the dependence of the mass $M$ of rotating boson stars with two states on angular momentum for both the synchronized frequency $\omega$ and the nonsynchronized frequency $\omega_2$.