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Hairy Black Holes in AdS$_5\times S^5$

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arxiv 1602.03893 v2 pith:QZRYBXSC submitted 2016-02-11 hep-th gr-qc

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

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abstract

We use numerical methods to exhaustively study a novel family of hairy black hole solutions in AdS$_5$. These solutions can be uplifted to solutions of type IIB supergravity with AdS$_5\times S^5$ asymptotics and are thus expected to play an important role in our understanding of AdS/CFT. We find an intricate phase diagram, with the aforementioned family of hairy black hole solutions branching from the Reissner-Nordstr\"om black hole at the onset of the superradiance instability. We analyse black holes with spherical and planar horizon topology and explain how they connect in the phase diagram. Finally, we detail their global and local thermodynamic stability across several ensembles.

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Cited by 3 Pith papers

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

  1. 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.

  2. Instability of Black Holes in AdS$_3 \times S^3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.

  3. Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory at finite density

    hep-th 2024-12 conditional novelty 6.0 of 10

    At equal R-charge chemical potentials, the holographic AdS5-Reissner-Nordström black brane has a negative R-charge diffusion coefficient below a critical μ/T, making the low-temperature phase unstable.

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