Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds

Abstract

We study condensation behaviors of static scalar fields in the regular asymptotically AdS reflecting star spacetime. With analytical methods, we provide upper bounds for the radii of the scalar hairy reflecting stars. Above the bound, there is no scalar hair theorem for the star. Below the bound, we numerically obtain charged scalar hairy reflecting star solutions and in particular, the radii of the hairy stars are discrete, which is similar to known results in other reflecting object backgrounds. For every set of parameters, we search for the largest AdS hairy star radius, study effects of parameters on the largest hairy star radius and also find difference between properties in this AdS reflecting star background and those in the flat reflecting star spacetime. Moreover, we show that scalar fields cannot condense around regular AdS reflecting stars when the star charge is small or the cosmological constant is negative enough.

11 pages, 5 figures

References in corpus (18)

• Building an AdS/CFT superconductor
• Holographic Superconductors with Various Condensates
• Kerr-Newman scalar clouds
• Kerr-Newman black holes with stationary charged scalar clouds
• Non-linear Q-clouds around Kerr black holes
• Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
• The large-mass limit of cloudy black holes
• Competing Holographic Orders
• Phase transitions and critical behavior of black branes in canonical ensemble
• Note on the butterfly effect in holographic superconductor models
• Scalar field configurations supported by charged compact reflecting stars in a curved spacetime
• Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell
• Charged reflecting stars supporting charged massive scalar field configurations
• Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell
• No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Scalar condensation behaviors around regular Neuman reflecting stars

Cited by in corpus (25)

• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• On instabilities of scalar hairy regular compact reflecting stars
• 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
• Scalar condensation behaviors around regular Neuman reflecting stars
• Hair formation in the background of noncommutative reflecting stars
• 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
• Large regular reflecting stars have no scalar field hair
• 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
• No-go theorem for static boson stars with negative cosmological constants
• The importance of scalar fields as extradimensional metric components in Kaluza-Klein models
• 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
• 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
• Analytical investigations on non-minimally coupled scalar fields outside neutral reflecting shells
• Thermodynamics of general flat space and boson star quasi-local systems
• On instabilities of stationary scalar field configurations supported by reflecting compact stars