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Aspects of Gauss-Bonnet scalarisation of charged black holes

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arxiv 2111.06442 v1 pith:MDES2X4C submitted 2021-11-11 gr-qc hep-th

Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu This is my paper · ORCID
classification gr-qchep-th
keywords scalarisationblackcasechargedelectrovacuumgauss-bonnetholesinduced
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abstract

The general relativity vacuum black holes (BHs) can be scalarised in models where a scalar field non-minimally couples to the Gauss-Bonnet (GB) invariant. Such GB scalarisation comes in two flavours, depending on the GB sign that triggers the phenomenon. Hereafter these two cases are termed GB$^\pm$ scalarisation. For vacuum BHs, only GB$^+$ scalarisation is possible in the static case, while GB$^-$ scalarisation is $spin$ induced. But for electrovacuum BHs, GB$^-$ is also $charged$ induced. We discuss the GB$^-$ scalarisation of Reissner-Nordstr\"om and Kerr-Newman BHs, discussing zero modes and constructing fully non-linear solutions. Some comparisons with GB$^+$ scalarisation are given. To assess the generality of the observed features, we also briefly consider the GB$^\pm$ scalarisation of stringy dilatonic BHs and coloured BHs which provide qualitative differences with respect to the electrovacuum case.

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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. A sufficient condition for the development of superradiant instabilities in charged black-hole spacetimes

    gr-qc 2025-01 conditional novelty 6.0 of 10

    For very massive fields, a charged black hole with horizon potential Φ_H greater than Q/M can support the stationary scalar cloud that triggers superradiant instability.

  3. Non-equatorial scalar rings supported by rapidly spinning Gauss-Bonnet black holes

    gr-qc 2024-12 reject novelty 6.0 of 10

    For Kerr spins above a critical threshold near 0.78, the most negative value of the Gauss-Bonnet invariant is reached at non-equatorial polar angles, which the author identifies as the location of supported massive sc...

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