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

@misc{zhang2026chargedependent,
  title = {{Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes}},
  author = {Lina Zhang and Yun Soo Myung and De-Cheng Zou and Chao-Ming Zhang and Sheng-Yuan Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.15566},
  eprint = {2605.15566},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.15566},
}

TY  - UNPB
TI  - Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes
AU  - Lina Zhang
AU  - Yun Soo Myung
AU  - De-Cheng Zou
AU  - Chao-Ming Zhang
AU  - Sheng-Yuan Li
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2605.15566
UR  - https://arxiv.org/abs/2605.15566
AB  - 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 coupling constant α 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 μ=0.3. Here, we find the critical onset charge q_c=r_+^2/√(2μ) with r_+(M,q_c) the outer horizon radius from the resonance condition. The spontaneous scalarization (α^+) of this black hole is available for charge 0<q< q_c=1.115 for M=1 and μ=0.3, with positive α, whereas its new scalarization (α^-) occurs for q> q_c and negative α. The former case of q=0.5 implies infinite branches of scalarized EEHBHs but its fundamental branch (n=0) is stable against the l=0 modes considered here, while for q=2 and q=20, one stable scalarized branch is found for each charge within the explored parameter ranges.
ER  -