On instabilities of scalar hairy regular compact reflecting stars
Yan Peng
TL;DR
This paper investigates the stability of scalar hairy compact reflecting stars, finding that low-charge scalar fields and small star radii lead to nonlinear instabilities, thus identifying conditions for stable configurations.
Contribution
It provides new bounds on scalar charge and star radius that determine the stability of scalar hairy regular compact reflecting stars.
Findings
Scalar hairy stars are unstable for scalar fields with small charge.
Stars with radius below a certain bound are always unstable.
High charge on the star imposes additional stability bounds.
Abstract
We study the system constructed by charged scalar fields linearly coupled to asymptotically flat horizonless compact reflecting stars. We obtain bounds on the charge of the scalar field, below which the scalar hairy star is expected to suffer from nonlinear instabilities. It means that scalar hairy regular configurations are unstable for scalar fields of small charge. For the highly-charged star, there are also bounds on radii of regular compact reflecting stars. When the star radius is below the bound, the hairy star is always unstable.
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