Black resonators and geons in AdS${}_5$

Abstract

We construct dynamical black hole solutions with a helical symmetry in AdS${}_5$, called black resonators, as well as their horizonless limits, called geons. We introduce a cohomogeneity-1 metric describing a class of black resonators and geons whose isometry group is $R\times SU(2)$. This allows us to study them in a wide range of parameters. We obtain the phase diagram for the black resonators, geons, and Myers-Perry-AdS${}_5$, where the black resonators emerge from the onset of a superradiant instability of the Myers-Perry-AdS${}_5$ with equal angular momenta and are connected to the geons in the small horizon limit. The angular velocities of the black resonators always satisfy $\Omega >1$ in units of the AdS radius. A black resonator is shown to have higher entropy than a Myers-Perry-AdS${}_5$ black hole with the same asymptotic charges. This implies that the Myers-Perry-AdS${}_5$ can dynamically evolve into the black resonator under the exact $SU(2)$-symmetry although its endpoint will be further unstable to $SU(2)$-violating perturbations.

27 pages, 9 figures

References in corpus (15)

• Absence of Quantum Time Crystals
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Symmetries of Higher Dimensional Black Holes
• Classical instability of Kerr-AdS black holes and the issue of final state
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• A Holographic Dual of Bjorken Flow
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Fiber Bundles and Matrix Models
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Gravitational turbulent instability of AdS${}_5$
• Anti-de Sitter geon families
• Charting the AdS Islands of Stability with Multi-oscillators?

Cited by in corpus (13)

• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Black hole superradiant instability for massive spin-2 fields
• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• Energy extraction from AdS black holes via superradiance
• Multioscillating black holes
• Superradiant instability of black resonators and geons
• Gregory-Laflamme encounters Superradiance
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• Photonic black resonators and photon stars in AdS${}_5$
• Stability of small charged anti-de Sitter black holes in the Robin boundary
• Phase diagram of the charged black hole bomb system
• Superradiance and black resonator strings encounter helical black strings
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair