Scalarized Einstein-Maxwell black holes in external scalar fields
Abstract
We construct static black holes in Einstein-Maxwell-scalar theory under prescribed external scalar fields, mapping their existence domain and determining how their scalar charges vary with the external field. Focusing on solutions with positive scalar charge, we find that a positive external field induces scalar charge in Reissner-Nordström (RN) black holes below the zero-source scalarization threshold and extends the allowed charge-to-mass range. A negative external field instead introduces a finite lower existence boundary and permits distinct black holes under identical external conditions. Coupling these isolated responses through the leading companion-generated scalar fields, we find mutual scalar induction in binaries whose components are RN black holes in isolation. For binaries with scalar charges of the same sign, their scalar charges need not increase as the separation decreases, while some binaries with opposite scalar charges admit multiple equilibria and cannot continue along their original equilibrium branches to smaller separations.
Related
- Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
- Scattering of scalar waves by scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity
- A construction of charged naked singularities for the Einstein--Maxwell-charged scalar field equations in 3+1 dimensions
- Kasner critical scaling in Einstein--Maxwell--scalar black holes with nonlinear collapse and scalarization
- Gravitational wave radiation from periodic orbits around a black hole in Einstein-Maxwell-scalar theory
BibTeX
@misc{cheng2026scalarized,
title = {{Scalarized Einstein-Maxwell black holes in external scalar fields}},
author = {Lang Cheng and Guangzhou Guo and Yuhan Li and Peng Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36085},
eprint = {2610.36085},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36085},
}
RIS
TY - UNPB
TI - Scalarized Einstein-Maxwell black holes in external scalar fields
AU - Lang Cheng
AU - Guangzhou Guo
AU - Yuhan Li
AU - Peng Wang
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36085
UR - https://arxiv.org/abs/2610.36085
AB - We construct static black holes in Einstein-Maxwell-scalar theory under prescribed external scalar fields, mapping their existence domain and determining how their scalar charges vary with the external field. Focusing on solutions with positive scalar charge, we find that a positive external field induces scalar charge in Reissner-Nordström (RN) black holes below the zero-source scalarization threshold and extends the allowed charge-to-mass range. A negative external field instead introduces a finite lower existence boundary and permits distinct black holes under identical external conditions. Coupling these isolated responses through the leading companion-generated scalar fields, we find mutual scalar induction in binaries whose components are RN black holes in isolation. For binaries with scalar charges of the same sign, their scalar charges need not increase as the separation decreases, while some binaries with opposite scalar charges admit multiple equilibria and cannot continue along their original equilibrium branches to smaller separations.
ER -