Spinning scalar solitons in anti-de Sitter spacetime

Abstract

We present spinning Q-balls and boson stars in four dimensional anti-de Sitter spacetime. These are smooth, horizonless solutions for gravity coupled to a massive complex scalar field with a harmonic dependence on time and the azimuthal angle. Similar to the flat spacetime configurations, the angular momentum is quantized. We find that a class of solutions with a self-interaction potential has a limit corresponding to static solitons with axial symmetry only. An exact solution describing spherically symmetric Q-balls in a fixed AdS background is also discussed.

12 pages, 4 figures

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• Charged Compact Boson Stars and Shells in the Presence of a Cosmological Constant
• Stability of charged solitons and formation of boson stars in 5-dimensional Anti-de Sitter space-time
• Probing the universality of synchronised hair around rotating black holes with Q-clouds
• Boson Stars in a Theory of Complex Scalar Field coupled to Gravity
• Spinning gauged boson stars in anti-de Sitter spacetime
• Solitons in curved spacetime
• New Results on Charged Compact Boson Stars
• AdS solitons with conformal scalar hair
• Excited oscillons: cascading levels and higher multipoles
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Understanding the Quantized Angular Momentum of Rotating Q-balls
• $\ell$-Boson stars in anti-de Sitter spacetime