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General Relativity and Quantum Cosmology

arXiv:2111.06442 (gr-qc)
[Submitted on 11 Nov 2021]

Title:Aspects of Gauss-Bonnet scalarisation of charged black holes

Authors:Carlos A. R. Herdeiro, Alexandre M. Pombo, Eugen Radu
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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-Nordström 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.
Comments: 16 pages, 6 figures
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.06442 [gr-qc]
  (or arXiv:2111.06442v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2111.06442

Submission history

From: Alexandre Pombo [view email]
[v1] Thu, 11 Nov 2021 19:58:20 UTC (735 KB)
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