No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars

Abstract

It has recently been proved that horizonless compact stars with reflecting boundary conditions {\it cannot} support spatially regular matter configurations made of minimally coupled scalar fields, vector fields, and tensor fields. In the present paper we extend this intriguing no-hair property to the physically interesting regime of scalar fields with {\it nonminimal} coupling to gravity. In particular, we prove that static spherically symmetric configurations made of nonminimally coupled massless scalar fields cannot be supported by compact reflecting stars.

arXiv comment6 pages

References in corpus (33)

• Kerr black holes with scalar hair
• Shadows of Kerr black holes with scalar hair
• Kerr black holes with Proca hair
• Stationary Scalar Clouds Around Rotating Black Holes
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• Kerr-Newman scalar clouds
• Stationary resonances of rapidly-rotating Kerr black holes
• Kerr-Newman black holes with stationary charged scalar clouds
• Kerr black holes with self-interacting scalar hair: hairier but not heavier
• On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
• A new spin on black hole hair
• Analytic treatment of the black-hole bomb
• Non-linear Q-clouds around Kerr black holes
• Iron K$\alpha$ line of Kerr black holes with scalar hair
• Scalarized Hairy Black Holes
• Myers-Perry black holes with scalar hair and a mass gap
• The large-mass limit of cloudy black holes
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• The superradiant instability regime of the spinning Kerr black hole
• Inside black holes with synchronized hair
• Rotating black holes can have short bristles
• Myers-Perry black holes with scalar hair and a mass gap: unequal spins
• How fast can a black hole rotate?
• Spinning boson stars and Kerr black holes with scalar hair: the effect of self-interactions
• A Mass Bound for Spherically Symmetric Black Hole Spacetimes
• Wiggly tails: a gravitational wave signature of massive fields around black holes
• A no-short scalar hair theorem for rotating Kerr black holes
• No-scalar-hair theorem for spherically symmetric reflecting stars
• Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
• No-hair theorems for a static and stationary reflecting star
• Self-gravitating field configurations: The role of the energy-momentum trace
• No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes
• Searching for non-minimally coupled scalar hairs

Cited by in corpus (29)

• Scalar field configurations supported by charged compact reflecting stars in a curved spacetime
• Charged reflecting stars supporting charged massive scalar field configurations
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• On instabilities of scalar hairy regular compact reflecting stars
• Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds
• No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
• 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
• Ultra-spinning exotic compact objects supporting static massless scalar field configurations
• No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
• Ultra-compact spherically symmetric dark matter charged star objects
• 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
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• 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 theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
• Stationary scalar hairy configurations supported by Neumann 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
• 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
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star
• 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