Hair formation in the background of noncommutative reflecting stars

TL;DR

This paper explores the conditions under which scalar fields can form hair around noncommutative reflecting stars, revealing bounds on star radii for scalar condensation in both neutral and charged cases.

Contribution

It provides the first analysis of scalar hair formation in noncommutative reflecting star backgrounds, establishing bounds on star radii for scalar condensation.

Findings

Neutral noncommutative reflecting stars cannot support scalar hair.

Charged stars have upper bounds on radii for scalar field existence.

Scalar hair can form when star radius is below the derived bound.

Abstract

We investigate scalar condensations around noncommutative compact reflecting stars. We find that the neutral noncommutative reflecting star cannot support the existence of scalar field hairs. In the charged noncommutative reflecting star spacetime, we provide upper bounds for star radii. Above the bound, scalar fields cannot exist outside the star. In contrast, when the star radius is below the bound, we show that the scalar field can condense. We also obtain the largest radii of scalar hairy reflecting stars.