No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields

Abstract

We present a compact theorem which reveals the fact that static spatially regular massive scalar fields with nonminimal coupling to gravity cannot form spherically symmetric asymptotically flat horizonless matter configurations. In particular, the no-go theorem rules out the existence of boson stars made of static scalar fields with generic values of the physical parameter $\xi$ which quantifies the coupling between the spacetime curvature and the massive bosonic fields.

6 pages

References in corpus (19)

• 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
• Upper bound on the radii of black-hole photonspheres
• 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
• No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
• No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes
• No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
• No-go theorem for static boson stars

Cited by in corpus (1)

• A no-go theorem for scalar fields with couplings from Ginzburg-Landau models