Charting the AdS Islands of Stability with Multi-oscillators?

Abstract

We propose the existence of an infinite-parameter family of solutions in AdS that oscillate on any number of non-commensurate frequencies. Some of these solutions appear stable when perturbed, and we suggest that they can be used to map out the AdS "islands of stability". By numerically constructing two-frequency solutions and exploring their parameter space, we find that both collapse and non-collapse are generic scenarios near AdS. Unlike other approaches, our results are valid on any timescale and do not rely on perturbation theory.

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• Superradiant instability of black resonators and geons
• A review on radiation of oscillons and oscillatons
• Gravitational wave driving of a gapped holographic system
• New islands of stability with double-trace deformations
• Examining Instabilities Due to Driven Scalars in AdS
• Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime
• Non-linear periodic waves on the Einstein cylinder
• Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime
• Numerical Relativity with Arbitrary Precision Arithmetic: Applications to Gravitational Collapse