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- Title
Scalarization of Kerr–Newman black holes in the Einstein–Chern–Simons-scalar theory.
- Authors
Fan, Kun-Hui; Myung, Yun Soo; Zou, De-Cheng; Lai, Meng-Yun
- Abstract
We investigate the tachyonic instability of Kerr–Newman (KN) black hole with a rotation parameter a in the Einstein–Chern–Simons-scalar theory coupled with a quadratic massive scalar field. This instability analysis corresponds to exploring the onset of spontaneous scalarization for KN black holes. First, we find no a-bound for α < 0 case by considering (1 + 1)-dimensional analytical method. A direct numerical method is adopted to explore (2 + 1)-dimensional time evolution of a massive scalar perturbation with positive and negative α to obtain threshold curves numerically. We obtain threshold curves α th (a) of tachyonic instability for positive α without any a-bounds. We expect to find the same threshold curves α th (a) of tachyonic instability for negative α without any a-bound because its linearized scalar theory is invariant under the transformation of α → - α and θ → - θ. In addition, it is found that the scalar mass term suppresses tachyonic instability of KN black holes, while the black hole charge promotes the instability (disregarding the contribution of the charge to the existence conditions M 2 - Q 2 ≥ a 2) .
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 7, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-13030-y