Charge-dependent scalarization of EEH black holes yields stable scalarized branches for 0<q<1.115 with positive α and for q>1.115 with negative α.
Spontaneous scalarization of charged black holes at the approach to extremality
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abstract
We study static, spherically symmetric and electrically charged black hole solutions in a quadratic Einstein-scalar-Gauss-Bonnet gravity model. Very similar to the uncharged case, black holes undergo spontaneous scalarization for sufficiently large scalar-tensor coupling $\gamma$ - a phenomenon attributed to a tachyonic instability of the scalar field system. While in the uncharged case, this effect is only possible for positive values of $\gamma$, we show that for sufficiently large values of the electric charge $Q$ two independent domains of existence in the $\gamma$-$Q$-plane appear: one for positive $\gamma$ and one for negative $\gamma$. We demonstrate that this new domain for negative $\gamma$ exists because of the fact that the near-horizon geometry of a nearly extremally charged black hole is $AdS_2\times S^2$.This new domain appears for electric charges larger than approximately 74$\%$ of the extremal charge. For positive $\gamma$ we observe that a singularity with diverging curvature invariants forms outside the horizon when approaching extremality.
fields
gr-qc 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.
Charged qOS black holes undergo Gauss-Bonnet scalarization in two regimes, producing linearly stable scalarized solutions for specific ranges of the action parameter α and coupling λ.
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Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes
Charge-dependent scalarization of EEH black holes yields stable scalarized branches for 0<q<1.115 with positive α and for q>1.115 with negative α.
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Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.
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Gauss-Bonnet scalarization of charged qOS-black holes
Charged qOS black holes undergo Gauss-Bonnet scalarization in two regimes, producing linearly stable scalarized solutions for specific ranges of the action parameter α and coupling λ.