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.

6 pages

References in corpus (16)

• Kerr-Newman scalar clouds
• Kerr-Newman black holes with stationary charged scalar clouds
• A new spin on black hole hair
• Non-linear Q-clouds around Kerr black holes
• Scalarized Hairy Black Holes
• Iron K$\alpha$ line of Kerr black holes with scalar hair
• 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
• Rotating black holes can have short bristles
• Myers-Perry black holes with scalar hair and a mass gap: unequal spins
• Wiggly tails: a gravitational wave signature of massive fields around black holes
• A no-short scalar hair theorem for rotating Kerr black holes
• Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
• Self-gravitating field configurations: The role of the energy-momentum trace
• No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes

Cited by in corpus (11)

• No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
• No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
• Ultra-spinning exotic compact objects supporting static massless scalar field configurations
• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• No hair theorem for bound-state massless static scalar fields outside horizonless Neumann compact stars
• No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields
• Charged reflecting shells supporting non-minimally coupled massless scalar field configurations
• 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