Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes
Abstract The black hole scalarization in a special Einstein-scalar–Gauss–Bonnet (EsGB) gravity has been widely investigated in recent years. Especially, the spontaneous scalarization of scalar-free black hole in de-Sitter (dS) spacetime possesses interesting features due to the existence of cosmolog...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-10-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10834-8 |
| _version_ | 1797996147789266944 |
|---|---|
| author | Zhen-Hao Yang Guoyang Fu Xiao-Mei Kuang Jian-Pin Wu |
| author_facet | Zhen-Hao Yang Guoyang Fu Xiao-Mei Kuang Jian-Pin Wu |
| author_sort | Zhen-Hao Yang |
| collection | DOAJ |
| description | Abstract The black hole scalarization in a special Einstein-scalar–Gauss–Bonnet (EsGB) gravity has been widely investigated in recent years. Especially, the spontaneous scalarization of scalar-free black hole in de-Sitter (dS) spacetime possesses interesting features due to the existence of cosmological horizon. In this work, firstly, we focus on the massive scalar field perturbation on Schwarzschild dS (SdS) black hole in a special EsGB theory. By analyzing the fundamental QNM frequency and time evolution of the scalar field perturbation, we figure out the unstable/stable regions in $$(\Lambda ,\alpha )$$ ( Λ , α ) -plane as well as in $$(m,\alpha )$$ ( m , α ) -plane for various perturbation modes, where $$\Lambda $$ Λ , $$\alpha $$ α and m denote the cosmological constant, the GB coupling strength and the mass of scalar field, respectively. Then by solving the static perturbation equation, we analyze the bifurcation point at which the SdS black hole supports spherical scalar clouds, and we find that the bifurcation points match well with $$\alpha _c$$ α c on the border of unstable/stable region. Finally, after addressing that the scalarised solutions could only emerge from the scalar could with node $$k\ge 1$$ k ≥ 1 . we explicitly construct the scalarized hairy solutions for different scalar masses and compare the profile of scalar field to the corresponding scalar clouds. |
| first_indexed | 2024-04-11T10:11:47Z |
| format | Article |
| id | doaj.art-63c94da39ce64c9aab772a02fa085f6c |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-11T10:11:47Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-63c94da39ce64c9aab772a02fa085f6c2022-12-22T04:30:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-01821011410.1140/epjc/s10052-022-10834-8Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holesZhen-Hao Yang0Guoyang Fu1Xiao-Mei Kuang2Jian-Pin Wu3Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract The black hole scalarization in a special Einstein-scalar–Gauss–Bonnet (EsGB) gravity has been widely investigated in recent years. Especially, the spontaneous scalarization of scalar-free black hole in de-Sitter (dS) spacetime possesses interesting features due to the existence of cosmological horizon. In this work, firstly, we focus on the massive scalar field perturbation on Schwarzschild dS (SdS) black hole in a special EsGB theory. By analyzing the fundamental QNM frequency and time evolution of the scalar field perturbation, we figure out the unstable/stable regions in $$(\Lambda ,\alpha )$$ ( Λ , α ) -plane as well as in $$(m,\alpha )$$ ( m , α ) -plane for various perturbation modes, where $$\Lambda $$ Λ , $$\alpha $$ α and m denote the cosmological constant, the GB coupling strength and the mass of scalar field, respectively. Then by solving the static perturbation equation, we analyze the bifurcation point at which the SdS black hole supports spherical scalar clouds, and we find that the bifurcation points match well with $$\alpha _c$$ α c on the border of unstable/stable region. Finally, after addressing that the scalarised solutions could only emerge from the scalar could with node $$k\ge 1$$ k ≥ 1 . we explicitly construct the scalarized hairy solutions for different scalar masses and compare the profile of scalar field to the corresponding scalar clouds.https://doi.org/10.1140/epjc/s10052-022-10834-8 |
| spellingShingle | Zhen-Hao Yang Guoyang Fu Xiao-Mei Kuang Jian-Pin Wu Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes European Physical Journal C: Particles and Fields |
| title | Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes |
| title_full | Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes |
| title_fullStr | Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes |
| title_full_unstemmed | Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes |
| title_short | Instability of de-Sitter black hole with massive scalar field coupled to Gauss–Bonnet invariant and the scalarized black holes |
| title_sort | instability of de sitter black hole with massive scalar field coupled to gauss bonnet invariant and the scalarized black holes |
| url | https://doi.org/10.1140/epjc/s10052-022-10834-8 |
| work_keys_str_mv | AT zhenhaoyang instabilityofdesitterblackholewithmassivescalarfieldcoupledtogaussbonnetinvariantandthescalarizedblackholes AT guoyangfu instabilityofdesitterblackholewithmassivescalarfieldcoupledtogaussbonnetinvariantandthescalarizedblackholes AT xiaomeikuang instabilityofdesitterblackholewithmassivescalarfieldcoupledtogaussbonnetinvariantandthescalarizedblackholes AT jianpinwu instabilityofdesitterblackholewithmassivescalarfieldcoupledtogaussbonnetinvariantandthescalarizedblackholes |