No-hair theorems for a static and stationary reflecting star

Abstract

We prove the non existence of massive scalar, vector and tensor hairs outside the surface of a static and stationary compact reflecting star. Our result is the extension of the no hair theorem for black holes to horizonless compact configurations with reflecting boundary condition at the surface. We also generalize the proof for spacetimes with a positive cosmological constant.

Typos corrected. New references added. Accepted for publication in Phys. Rev. D

References in corpus (6)

• Testing the black hole "no-hair" hypothesis
• Stationary Black Holes with Time-Dependent Scalar Fields
• No-scalar-hair theorem for spherically symmetric reflecting stars
• No hair theorems for positive Λ
• No hair theorems for stationary axisymmetric black holes
• Constraints on the symmetry noninheriting scalar black hole hair

Cited by in corpus (34)

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• Scalar condensation behaviors around regular Neuman reflecting stars
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• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• Upper bound on the radii of regular ultra-compact star photonspheres
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
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• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Stationary bound-state massive scalar field configurations supported by spherically symmetric compact reflecting stars
• Stationary scalar hairy configurations supported by Neumann compact stars
• No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting 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
• Regular scalar field around reflecting stars and black holes, and reflecting star polarization
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star
• A no-go theorem for scalar fields with couplings from Ginzburg-Landau models
• No scalar condensations outside reflecting stars with coupling terms from Ginzburg-Landau models
• On instabilities of stationary scalar field configurations supported by reflecting compact stars
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