Chinese Physics C > 2018, Vol. 42 > Issue(4): 045101 DOI: 10.1088/1674-1137/42/4/045101

Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes

Hong Ma,
Jin Li^,

1.
Department of Physics, Chongqing University, Chongqing 401331, China

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Abstract：
In this paper, we describe quasinormal modes (QNMs) for gravitational perturbations of Einstein-Gauss-Bonnet black holes (BHs) in higher dimensional spacetimes, and derive the corresponding parameters of such black holes in three types of spacetime (flat, de Sitter (dS) and anti-de Sitter (AdS)). Our attention is concentrated on discussing the (in)stability of Einstein-Gauss-Bonnet AdS BHs through the temporal evolution of all types of gravitational perturbation fields (tensor, vector and scalar). It is concluded that the potential functions in vector and scalar gravitational perturbations have negative regions, which suppress quasinormal ringing. Furthermore, the influences of the Gauss-Bonnet coupling parameter α, the number of dimensions nand the angular momentum quantum number lon the Einstein-Gauss-Bonnet AdS BHs quasinormal spectrum are analyzed. The QNM frequencies have greater oscillation and lower damping rate with the growth of α. This indicates that QNM frequencies become increasingly unstable with large α. Meanwhile, the dynamic evolutions of the perturbation field are compliant with the results of computation from the Horowitz and Hubeny method. Because the number of extra dimensions is connected with the string scale, the relationship between αand properties of Einstein-Gauss-Bonnet AdS BHs might be beneficial for the exploitation of string theory and extra-dimensional brane worlds.
- Einstein-Gauss-Bonnet AdS BHs,
- gravitational perturbation,
- quasinormal modes (QNMs)

References

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Hong Ma and Jin Li. Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes[J]. Chinese Physics C, 2018, 42(4): 045101. doi: 10.1088/1674-1137/42/4/045101

Hong Ma and Jin Li. Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes[J]. Chinese Physics C, 2018, 42(4): 045101. doi:10.1088/1674-1137/42/4/045101 shu

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Received: 2017-11-19

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Supported by FAPESP (2012/08934-0), National Natural Science Foundation of China (11205254, 11178018, 11375279, 11605015), the Natural Science Foundation Project of CQ CSTC (2011BB0052), and the Fundamental Research Funds for the Central Universities (106112016CDJXY300002, 106112017CDJXFLX0014, CDJRC10300003)

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通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes

Corresponding author:Jin Li,

1. Department of Physics, Chongqing University, Chongqing 401331, China

Received Date:2017-11-19

Available Online:2018-04-05

Fund Project:Supported by FAPESP (2012/08934-0), National Natural Science Foundation of China (11205254, 11178018, 11375279, 11605015), the Natural Science Foundation Project of CQ CSTC (2011BB0052), and the Fundamental Research Funds for the Central Universities (106112016CDJXY300002, 106112017CDJXFLX0014, CDJRC10300003)

Abstract:In this paper, we describe quasinormal modes (QNMs) for gravitational perturbations of Einstein-Gauss-Bonnet black holes (BHs) in higher dimensional spacetimes, and derive the corresponding parameters of such black holes in three types of spacetime (flat, de Sitter (dS) and anti-de Sitter (AdS)). Our attention is concentrated on discussing the (in)stability of Einstein-Gauss-Bonnet AdS BHs through the temporal evolution of all types of gravitational perturbation fields (tensor, vector and scalar). It is concluded that the potential functions in vector and scalar gravitational perturbations have negative regions, which suppress quasinormal ringing. Furthermore, the influences of the Gauss-Bonnet coupling parameterα, the number of dimensionsnand the angular momentum quantum numberlon the Einstein-Gauss-Bonnet AdS BHs quasinormal spectrum are analyzed. The QNM frequencies have greater oscillation and lower damping rate with the growth ofα. This indicates that QNM frequencies become increasingly unstable with largeα. Meanwhile, the dynamic evolutions of the perturbation field are compliant with the results of computation from the Horowitz and Hubeny method. Because the number of extra dimensions is connected with the string scale, the relationship betweenαand properties of Einstein-Gauss-Bonnet AdS BHs might be beneficial for the exploitation of string theory and extra-dimensional brane worlds.

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Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes

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