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Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields

Abstract

We study scalarized extremal black holes in the Einstein-Maxwell-scalar (EMS) theory with two different scalar couplings to two U(1) fields. This theory is inspired by the dyonic EMS theory. Two scalarzied extremal black holes are found with constant scalar hair. We confirm that these are exactly obtained from the extremal scalarization and entropy function approaches. This may imply that it is not easy to find extremal black holes with primary scalar hair.

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BibTeX
@misc{chew2026scalarized,
  title = {{Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields}},
  author = {Xiao Yan Chew and Yun Soo Myung},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.05766},
  eprint = {2606.05766},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.05766},
}
RIS
TY  - UNPB
TI  - Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
AU  - Xiao Yan Chew
AU  - Yun Soo Myung
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2606.05766
UR  - https://arxiv.org/abs/2606.05766
AB  - We study scalarized extremal black holes in the Einstein-Maxwell-scalar (EMS) theory with two different scalar couplings to two U(1) fields. This theory is inspired by the dyonic EMS theory. Two scalarzied extremal black holes are found with constant scalar hair. We confirm that these are exactly obtained from the extremal scalarization and entropy function approaches. This may imply that it is not easy to find extremal black holes with primary scalar hair.
ER  -