Charge-dependent scalarization of Einstein–Euler–Heisenberg black holes
5 affiliations
- 1Hunan Institute of Technology
- 2Sogang University
- 3Jiangxi Normal University
- 4Nanchang University
- 5College of Physical Science and Technology, Yangzhou University
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 coupling constant α 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 μ = 0.3 . Here, we find the critical onset charge qc=r+2/√(2μ ) q c = r + 2 / 2 μ with r+(M,qc) r + ( M , q c ) the outer horizon radius from the resonance condition. The spontaneous scalarization ( α + α + ) of this black hole is available for charge 0<q< qc=1.115 0 < q < q c = 1.115 for M=1 M = 1 and μ =0.3 μ = 0.3 , with positive α α , whereas its new scalarization ( α - α - ) occurs for q> qc q > q c and negative α α . The former case of q=0.5 q = 0.5 implies infinite branches of scalarized EEHBHs but its fundamental branch ( n=0 n = 0 ) is stable against the l=0 l = 0 modes considered here, while for q=2 q = 2 and q=20 q = 20 , one stable scalarized branch is found for each charge within the explored parameter ranges.
Related
- The Analytical Solutions of Dyonic Black Holes in Einstein-Euler-Heisenberg Theory
- Horizon Structure and Geodesic Properties of Simpson-Visser Black Holes in Einstein-Euler-Heisenberg Theory
- Geometric Capture and Optical Critical Curves of Purely Electric, Magnetic and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory
- Tidal Response Beyond the Background Geometry in Einstein-Euler-Heisenberg Black Holes
- Scalarized Einstein-Euler-Heisenberg black holes at the approach to extremality
BibTeX
@article{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},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16436-y},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16436-y},
note = {CC BY 4.0},
}
RIS
TY - JOUR
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 - 2026/10/12
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16436-y
UR - https://link.springer.com/10.1140/epjc/s10052-026-16436-y
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 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 μ = 0.3 . Here, we find the critical onset charge q_c=r_+^2/√(2μ ) q c = r + 2 / 2 μ with r_+(M,q_c) r + ( M , q c ) the outer horizon radius from the resonance condition. The spontaneous scalarization ( α ^+ α + ) of this black hole is available for charge 0<q< q_c=1.115 0 < q < q c = 1.115 for M=1 M = 1 and μ =0.3 μ = 0.3 , with positive α α , whereas its new scalarization ( α ^- α - ) occurs for q> q_c q > q c and negative α α . The former case of q=0.5 q = 0.5 implies infinite branches of scalarized EEHBHs but its fundamental branch ( n=0 n = 0 ) is stable against the l=0 l = 0 modes considered here, while for q=2 q = 2 and q=20 q = 20 , one stable scalarized branch is found for each charge within the explored parameter ranges.
SN - 1434-6044
SN - 1434-6052
ER -