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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Format: | Article |
Language: | English |
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SpringerOpen
2019-08-01
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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 . |
first_indexed | 2024-12-12T03:46:10Z |
format | Article |
id | doaj.art-2e60737d8dc3466d9bb395f1deeb45ea |
institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-12-12T03:46:10Z |
publishDate | 2019-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |