No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields

Abstract

Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces {\it cannot} support non-linear matter configurations made of scalar, vector, and tensor fields. In the present paper we extend the regime of validity of these no-hair theorems by explicitly proving that spherically symmetric compact reflecting stars cannot support static configurations made of {\it massive} scalar fields with {\it non}-minimal coupling to gravity. Interestingly, our no-hair theorem is valid for {\it generic} values of the dimensionless field-curvature coupling parameter $\xi$.

arXiv comment7 pages. arXiv admin note: text overlap with arXiv:2002.05903, arXiv:1709.01933

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Cited by in corpus (13)

• Charged reflecting stars supporting charged massive scalar field configurations
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• 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
• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity
• Stationary scalar hairy configurations supported by Neumann compact stars
• No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
• 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
• Regular scalar field around reflecting stars and black holes, and reflecting star polarization