https://doi.org/10.1140/epjc/s10052-019-7176-7
Regular Article - Theoretical Physics
Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
1
Institute of Basic Sciences and Department of Computer Simulation, Inje University Gimhae, 50834, Gimhae, South Korea
2
Center for Gravitation and Cosmology and College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China
* e-mail: ysmyung@inje.ac.kr
Received:
23
April
2019
Accepted:
30
July
2019
Published online:
5
August
2019
We analyze the stability of scalarized charged black holes in the Einstein–Maxwell–Scalar (EMS) theory with quadratic coupling. These black holes are labelled by the number of 
, where 
is called the fundamental black hole and 
denote the n-excited black holes. We show that the black hole is stable against full perturbations, whereas the 
excited black holes are unstable against the 
-mode scalar perturbation. This is consistent with the EMS theory with exponential coupling, but it contrasts to the scalarized black hole in the Einstein–Gauss–Bonnet–Scalar theory with quadratic coupling. This implies that the endpoint of unstable Reissner-Nordström black holes with 
is the black hole with the same q. Furthermore, we study the scalarized charged black holes in the EMS theory with scalar mass 
.
© The Author(s), 2019
