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arXiv · 2605.15566

Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes

Lina Zhang·Yun Soo Myung·De-Cheng Zou·Chao-Ming Zhang
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Abstract

Charge-dependent scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is carried out in the EEH-scalar theory by introducing an exponential scalar coupling with $\alpha$ coupling constant to the Maxwell and nonlinear electrodynamic terms. The bald black hole (EEHBH) is described by mass $M$ and arbitrary magnetic charge $q$ and has a single horizon when choosing the action parameter $\mu=0.3$. The spontaneous scalarization ($\alpha^+$) of this black hole is available for charge $0 q_c$ and negative $\alpha$. The former case of $q=0.5$ implies infinite branches of scalarized EEHBHs but its fundamental branch ($n=0$) is stable against radial perturbations, while the latter cases of $q=2,20$ show two stable single branches of scalarized EEHBHs.

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Lina Zhang, Yun Soo Myung, De-Cheng Zou, Chao-Ming Zhang. 2026-05-15. Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes. https://arxiv.org/abs/2605.15566

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