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Spontaneous Holographic Scalarization of Black Holes in Einstein-Scalar-Gauss-Bonnet Theories

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arxiv 2006.10659 v3 pith:EOCTQDDD submitted 2020-06-18 hep-th gr-qc

Hong Guo , Stella Kiorpelidi , Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang , Jian-Pin Wu This is my paper · ORCID
classification hep-thgr-qc
keywords holographicfieldscalarscalarizationblackconstantcosmologicaleffect
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We holographically investigate the scalarization in the Einstein-Scalar-Gauss-Bonnet gravity with a negative cosmological constant. We find that instability exists for both Schwarzschild-AdS and Reissner-Nordstrom-AdS black holes with planar horizons when we have proper interactions between the scalar field and the Gauss-Bonnet curvature corrections. We relate such instability to possible holographic scalarization and construct the corresponding hairy black hole solutions in the presence of the cosmological constant. Employing the holographic principle we expect that such bulk scalarization corresponds to the boundary description of the scalar hair condensation without breaking any symmetry, and we calculate the related holographic entanglement entropy of the system. Moreover, we compare the mechanisms of the holographic scalarizations caused by the effect of the coupling of the scalar field to the Gauss-Bonnet term and holographic superconductor effect in the presence of an electromagnetic field, and unveil their differences in the effective mass of the scalar field, the temperature dependent property and the optical conductivity.

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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. Curvature-induced scalarization of charged AdS black holes

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    The Breitenlohner-Freedman bound restricts Gauss-Bonnet scalarization of RN-AdS black holes to a single fundamental branch for 0<η<2.25, with a separate single branch for η<0.

  2. Scalarization of Bardeen spacetime

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For scalarization of the full Bardeen spacetime, small magnetic charges give the usual smooth scalarization threshold, while large charges end in a 'frozen' horizonless scalarized state rather than a Bardeen black hole.

  3. A Critical Point on the Hairy Black Hole Phase Boundary in the Improved Holographic Einstein-Maxwell-Dilaton Theory

    hep-th 2025-09 conditional novelty 5.0 of 10

    In the improved holographic EMD model, two hairy black hole phases are separated by a U-shaped boundary whose lower branch is first-order and upper branch third-order, meeting at (mu_B,T)=(765.51,86.54) MeV.

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