Scalar condensation behaviors around regular Neuman reflecting stars

Abstract

We study static massive scalar field condensations in the regular asymptotically flat reflecting star background. We impose Neumann reflecting surface boundary conditions for the scalar field. We show that the no hair theorem holds in the neutral reflecting star background. For charged reflecting stars, we provide bounds for radii of hairy reflecting stars. Below the lower bound, there is no regular compact reflecting star and a black hole will form. Above the upper bound, the scalar field cannot condense around the reflecting star or no hair theorems exist. And in between the bounds, we obtain scalar configurations supported by Neumann reflecting stars.

arXiv comment9 pages, 1 figure

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Cited by in corpus (18)

• On instabilities of scalar hairy regular compact reflecting stars
• Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds
• The extreme orbital period in scalar hairy kerr black holes
• Hair mass bound in the black hole with nonzero cosmological constants
• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• Hair formation in the background of noncommutative reflecting stars
• Upper bound on the radii of regular ultra-compact star photonspheres
• Analytical studies on the hoop conjecture in charged curved spacetimes
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• Large regular reflecting stars have no scalar field hair
• 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
• No-go theorem for static boson stars with negative cosmological constants
• No scalar hair theorem for neutral Neumann stars: static massive scalar fields nonminimally coupled to gravity
• No hair theorem for bound-state massless static scalar fields outside horizonless Neumann compact stars
• 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
• On instabilities of stationary scalar field configurations supported by reflecting compact stars