Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory

Abstract 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 $$n=0,1,2,\ldots $$ n=0,1,2,… , where $$n=0$$ n=0 is called the fundamental black hole and $$n=1,2,\ldots $$ n=1,2,...

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Main Authors: Yun Soo Myung, De-Cheng Zou
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7176-7
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author Yun Soo Myung
De-Cheng Zou
author_facet Yun Soo Myung
De-Cheng Zou
author_sort Yun Soo Myung
collection DOAJ
description Abstract 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 $$n=0,1,2,\ldots $$ n=0,1,2,… , where $$n=0$$ n=0 is called the fundamental black hole and $$n=1,2,\ldots $$ n=1,2,… denote the n-excited black holes. We show that the $$n=0$$ n=0 black hole is stable against full perturbations, whereas the $$n=1,2$$ n=1,2 excited black holes are unstable against the $$s(l=0)$$ s(l=0) -mode scalar perturbation. This is consistent with the EMS theory with exponential coupling, but it contrasts to the $$n=0$$ n=0 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 $$\alpha >8.019$$ α>8.019 is the $$n=0$$ n=0 black hole with the same q. Furthermore, we study the scalarized charged black holes in the EMS theory with scalar mass $$m^2_\phi =\alpha /\beta $$ mϕ2=α/β .
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spelling doaj.art-2e60737d8dc3466d9bb395f1deeb45ea2022-12-22T00:39:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-08-0179811110.1140/epjc/s10052-019-7176-7Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theoryYun Soo Myung0De-Cheng Zou1Institute of Basic Sciences and Department of Computer Simulation, Inje University GimhaeInstitute of Basic Sciences and Department of Computer Simulation, Inje University GimhaeAbstract 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 $$n=0,1,2,\ldots $$ n=0,1,2,… , where $$n=0$$ n=0 is called the fundamental black hole and $$n=1,2,\ldots $$ n=1,2,… denote the n-excited black holes. We show that the $$n=0$$ n=0 black hole is stable against full perturbations, whereas the $$n=1,2$$ n=1,2 excited black holes are unstable against the $$s(l=0)$$ s(l=0) -mode scalar perturbation. This is consistent with the EMS theory with exponential coupling, but it contrasts to the $$n=0$$ n=0 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 $$\alpha >8.019$$ α>8.019 is the $$n=0$$ n=0 black hole with the same q. Furthermore, we study the scalarized charged black holes in the EMS theory with scalar mass $$m^2_\phi =\alpha /\beta $$ mϕ2=α/β .http://link.springer.com/article/10.1140/epjc/s10052-019-7176-7
spellingShingle Yun Soo Myung
De-Cheng Zou
Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
European Physical Journal C: Particles and Fields
title Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
title_full Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
title_fullStr Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
title_full_unstemmed Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
title_short Stability of scalarized charged black holes in the Einstein–Maxwell–Scalar theory
title_sort stability of scalarized charged black holes in the einstein maxwell scalar theory
url http://link.springer.com/article/10.1140/epjc/s10052-019-7176-7
work_keys_str_mv AT yunsoomyung stabilityofscalarizedchargedblackholesintheeinsteinmaxwellscalartheory
AT dechengzou stabilityofscalarizedchargedblackholesintheeinsteinmaxwellscalartheory