Stationary scalar hairy configurations supported by Neumann compact stars

TL;DR

This paper investigates stationary scalar field configurations around horizonless compact stars with Neumann boundary conditions, deriving bounds on scalar field frequencies and numerically constructing solutions.

Contribution

It introduces a novel analysis of scalar hairy stars supported by Neumann boundary conditions and explores parameter effects on scalar field frequencies.

Findings

Derived bounds on scalar field frequencies.

Numerically constructed scalar hairy star solutions.

Identified effects of model parameters on frequencies.

Abstract

We study stationary scalar field hairy configurations supported by asymptotically flat horizonless compact stars. At the star surface, we impose Neumann boundary conditions for the scalar field. With analytical methods, we obtain bounds on the frequency of scalar fields. For certain discrete frequency satisfying the bounds, we numerically get solutions of scalar hairy stars. We also disclose effects of model parameters on the discrete frequency of scalar fields.