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Lumpy AdS$\bf{_5\times}$ S$\bf{^5}$ Black Holes and Black Belts

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arxiv 1501.06574 v1 pith:YITF76OB submitted 2015-01-26 hep-th gr-qc

classification hep-thgr-qc
keywords blackholesholesolutionsolutionstimesbranchbranches
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Sufficiently small Schwarzschild black holes in global AdS$_5\times$S$^5$ are Gregory-Laflamme unstable. We construct new families of black hole solutions that bifurcate from the onset of this instability and break the full SO$(6)$ symmetry group of the S$^5$ down to SO$(5)$. These new "lumpy" solutions are labelled by the harmonics $\ell$. We find evidence that the $\ell = 1$ branch never dominates the microcanonical/canonical ensembles and connects through a topology-changing merger to a localised black hole solution with S$^8$ topology. We argue that these S$^8$ black holes should become the dominant phase in the microcanonical ensemble for small enough energies, and that the transition to Schwarzschild black holes is first order. Furthermore, we find two branches of solutions with $\ell = 2$. We expect one of these branches to connect to a solution containing two localised black holes, while the other branch connects to a black hole solution with horizon topology $\mathrm S^4\times\mathrm S^4$ which we call a "black belt".

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Grey Galaxies in $AdS_5$

    hep-th 2024-12 conditional novelty 7.0 of 10

    AdS5 grey galaxies come in rank-2 and rank-4 phases, and the rank-4 gas contributes a universal conformal-fluid boundary stress tensor, yielding a conjectured microcanonical phase diagram for N=4 SYM.

  2. Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets

    hep-th 2024-11 conditional novelty 7.0 of 10

    The BPS limit of the newly constructed hairy black holes has zero entropy and a diverging scalar field, so no regular supersymmetric hairy black holes exist in this sector.

  3. Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike entanglement and subregion complexity detect the cap–horizon transition of localized AdS3×S3×T4 black poles via fixed-boundary-interval Lorentzian branch selection, effects absent in BTZ and large-r limits.

  4. Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Unsupervised Lorentzian PINNs with embedded S^{2} topology recover maximally extended Schwarzschild and yield candidate Petrov type-I vacuum black-hole metrics with genuinely trapped interiors.

  5. Localized Black Holes in AdS$_3$: What Happens Below c/12 Stays Below c/12

    hep-th 2024-12 conditional novelty 6.0 of 10

    Localized black holes in AdS3 x S3 x T4 fill the low-energy spectrum, dominate the microcanonical ensemble below a small positive energy, and appear to have the same entanglement entropy as BTZ black holes.

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