No-scalar-hair theorem for spherically symmetric reflecting stars

Abstract

It is proved that spherically symmetric compact reflecting objects cannot support static bound-state configurations made of scalar fields whose self-interaction potential $V({\psi }^2)$ is a monotonically increasing function of its argument. Our theorem rules out, in particular, the existence of massive scalar hair outside the surface of a spherically symmetric compact reflecting star.

6 pages

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Cited by in corpus (37)

• Scalar field configurations supported by charged compact reflecting stars in a curved spacetime
• No-hair theorems for a static and stationary reflecting star
• Charged reflecting stars supporting charged massive scalar field configurations
• No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell
• On instabilities of scalar hairy regular compact reflecting stars
• Onset of superradiant instabilities in rotating spacetimes of exotic compact objects
• Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds
• No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
• The longlived charged massive scalar field in the higher-dimensional Reissner--Nordström spacetime
• Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes
• Scalar condensation behaviors around regular Neuman reflecting stars
• Hair formation in the background of noncommutative reflecting stars
• No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
• Ultra-spinning exotic compact objects supporting static massless scalar field configurations
• Ultra-compact spherically symmetric dark matter charged star objects
• Revisiting compact star in $F(R)$ gravity: Roles of chameleon potential and energy conditions
• No skyrmion hair for stationary spherically symmetric reflecting stars
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Large regular reflecting stars have no scalar field hair
• Stationary bound-state massive scalar field configurations supported by spherically symmetric compact reflecting stars
• No-hair theorems for non-canonical self-gravitating static multiple scalar fields
• No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
• Stationary scalar hairy configurations supported by Neumann compact stars
• No-go theorem for static boson stars with negative cosmological constants
• No hair theorem for bound-state massless static scalar fields outside horizonless Neumann compact stars
• No scalar hair theorem for neutral Neumann stars: static massive scalar fields nonminimally coupled to gravity
• Charged reflecting shells supporting non-minimally coupled massless scalar field configurations
• No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star
• Regular scalar field around reflecting stars and black holes, and reflecting star polarization
• No scalar condensations outside reflecting stars with coupling terms from Ginzburg-Landau models
• A no-go theorem for scalar fields with couplings from Ginzburg-Landau models
• On instabilities of stationary scalar field configurations supported by reflecting compact stars