Large regular reflecting stars have no scalar field hair

Abstract

We investigate the gravity system constructed with static scalar fields coupled to asymptotically flat regular reflecting stars. We consider the matter field's backreaction on the reflecting star. We analytically show that there is an upper bound on the radius of the reflecting star. When the star radius is above the bound, the reflecting star cannot support the existence of scalar field hairs. That means large reflecting stars cannot have scalar field hairs.

arXiv comment8 pages

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Cited by in corpus (7)

• Analytical studies on the hoop conjecture in charged curved spacetimes
• Influence of dark matter on black hole scalar hair
• No skyrmion hair for stationary spherically symmetric reflecting stars
• No scalar hair theorem for neutral Neumann stars: static massive scalar fields nonminimally coupled to gravity
• No-go theorem for static boson stars with negative cosmological constants
• Regular scalar field around reflecting stars and black holes, and reflecting star polarization
• A no-go theorem for scalar fields with couplings from Ginzburg-Landau models