Spinning boson stars and hairy black holes with non-minimal coupling

Abstract

We obtain spinning boson star solutions and hairy black holes with synchronised hair in the Einstein-Klein-Gordon model, wherein the scalar field is massive, complex and with a non-minimal coupling to the Ricci scalar. The existence of these hairy black holes in this model provides yet another manifestation of the universality of the synchronisation mechanism to endow spinning black holes with hair. We study the variation of the physical properties of the boson stars and hairy black holes with the coupling parameter between the scalar field and the curvature, showing that they are, qualitatively, identical to those in the minimally coupled case. By discussing the conformal transformation to the Einstein frame, we argue that the solutions herein provide new rotating boson star and hairy black hole solutions in the minimally coupled theory, with a particular potential, and that no spherically symmetric hairy black hole solutions exist in the non-minimally coupled theory, under a condition of conformal regularity.

15 pages, 3 figures, to appear in a special issue of the International Journal of Modern Physics D on "Selected Papers of the IV Amazonian Symposium on Physics"

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• New Horizons for Fundamental Physics with LISA
• Selected topics in scalar-tensor theories and beyond
• Excited Kerr black holes with scalar hair
• Proca-Higgs balls and stars in a UV completion for Proca self-interactions
• Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
• The multipolar structure of rotating boson stars
• Rotating tensor-multiscalar black holes with two scalars
• Rotating multistate boson stars
• Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions