Spin-charge induced scalarization of Kerr-Newman black holes in the Einstein-Maxwell-scalar theory with scalar potential

Fuente: arXiv
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Main Authors: Luo, Xiang, Lai, Meng-Yun, Myung, Yun Soo, Huang, Yi-Bin, Zou, De-Cheng
Format: Preprint
Published: 2026
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author Luo, Xiang
Lai, Meng-Yun
Myung, Yun Soo
Huang, Yi-Bin
Zou, De-Cheng
author_facet Luo, Xiang
Lai, Meng-Yun
Myung, Yun Soo
Huang, Yi-Bin
Zou, De-Cheng
contents We investigate the spin-charge-induced scalarization of Kerr--Newman (KN) black holes in the Einstein--Maxwell-scalar (EMS) theory with a scalar potential and positive coupling parameter. In the linearized theory, there exists a bound of $0<a<a_0$ with onset spin $a_c$ for the negative region signaling instability by analyzing the effective scalar mass term in the $θ$-direction. Solving the $(2+1)$-dimensional evolution equation numerically, we find the region where the KN black hole becomes unstable, giving rise to scalarized KN black holes. The threshold curve for representing the boundary between stable and unstable KN black holes depends on charge $Q$, scalar mass $m_ϕ$, coupling parameter $α$, and spin parameter $a$ with upper bound $a^2\le M^2-Q^2$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06592
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spin-charge induced scalarization of Kerr-Newman black holes in the Einstein-Maxwell-scalar theory with scalar potential
Luo, Xiang
Lai, Meng-Yun
Myung, Yun Soo
Huang, Yi-Bin
Zou, De-Cheng
General Relativity and Quantum Cosmology
We investigate the spin-charge-induced scalarization of Kerr--Newman (KN) black holes in the Einstein--Maxwell-scalar (EMS) theory with a scalar potential and positive coupling parameter. In the linearized theory, there exists a bound of $0<a<a_0$ with onset spin $a_c$ for the negative region signaling instability by analyzing the effective scalar mass term in the $θ$-direction. Solving the $(2+1)$-dimensional evolution equation numerically, we find the region where the KN black hole becomes unstable, giving rise to scalarized KN black holes. The threshold curve for representing the boundary between stable and unstable KN black holes depends on charge $Q$, scalar mass $m_ϕ$, coupling parameter $α$, and spin parameter $a$ with upper bound $a^2\le M^2-Q^2$.
title Spin-charge induced scalarization of Kerr-Newman black holes in the Einstein-Maxwell-scalar theory with scalar potential
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.06592