Collapse and Nonlinear Instability of AdS with Angular Momenta

Abstract

We present a numerical study of rotational dynamics in AdS${}_5$ with equal angular momenta in the presence of a complex doublet scalar field. We determine that the endpoint of gravitational collapse is a Myers-Perry black hole for high energies and a hairy black hole for low energies. We investigate the timescale for collapse at low energies $E$, keeping the angular momenta $J\propto E$ in AdS length units. We find that the inclusion of angular momenta delays the collapse time, but retains a $t\sim 1/E$ scaling. We perturb and evolve rotating boson stars, and find that boson stars near AdS appear stable, but those sufficiently far from AdS are unstable. We find that the dynamics of the boson star instability depend on the perturbation, resulting either in collapse to a Myers-Perry black hole, or development towards a stable oscillating solution.

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Cited by in corpus (7)

• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Anti-de Sitter geon families
• Superradiant instability of black resonators and geons
• Holographic Signatures of Critical Collapse
• Cauchy Evolution of Asymptotically Global AdS Spacetimes with No Symmetries
• The instability of anti-de Sitter space-time
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries