Gravitational quasi-normal modes of static R2 Anti-de Sitter black holes

doi:10.1088/1674-1056/26/6/060401

中国物理B ›› 2017, Vol. 26 ›› Issue (6): 60401-060401.doi: 10.1088/1674-1056/26/6/060401

Gravitational quasi-normal modes of static R² Anti-de Sitter black holes

Hong Ma(马洪), Jin Li(李瑾)

Department of Physics, Chongqing University, Chongqing 401331, China

收稿日期:2016-12-27 修回日期:2017-02-11 出版日期:2017-06-05 发布日期:2017-06-05
通讯作者: Jin Li E-mail:cqujinli1983@cqu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11205254, 11178018, 11375279, and 11605015), the Fundamental Research Funds for the Central Universities, China (Grant Nos. 106112016CDJXY300002 and CDJRC10300003), the Chinese State Scholarship Fund, FAPESP (Grant No. 2012/08934-0), and the Natural Science Foundation Project of CQ CSTC (Grant No. 2011BB0052).

Gravitational quasi-normal modes of static R² Anti-de Sitter black holes

Hong Ma(马洪), Jin Li(李瑾)

Department of Physics, Chongqing University, Chongqing 401331, China

Received:2016-12-27 Revised:2017-02-11 Online:2017-06-05 Published:2017-06-05
Contact: Jin Li E-mail:cqujinli1983@cqu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11205254, 11178018, 11375279, and 11605015), the Fundamental Research Funds for the Central Universities, China (Grant Nos. 106112016CDJXY300002 and CDJRC10300003), the Chinese State Scholarship Fund, FAPESP (Grant No. 2012/08934-0), and the Natural Science Foundation Project of CQ CSTC (Grant No. 2011BB0052).

摘要/Abstract

摘要： In this paper, we study the gravitational quasi-normal modes (QNMs) for a static R² black hole (BH) in Anti-de Sitter (AdS) spacetime. The corresponding master equation of odd parity is derived and the QNMs are evaluated by the Horowitz and Hubeny method. Meanwhile the stability of such BH is also discussed through the temporal evolution of the perturbation field. Here we mainly consider the coefficient λ, which is related to the radius of AdS black hole, on the QNMs of the R² AdS BH. The results show that the Re(ω) and |Im(ω)| of the QNMs increase together as |λ| increases for a given angular momentum number l. That indicates with a larger value of |λ| the corresponding R² AdS BH returns to stable much more quickly. The dynamic evolution of the perturbation field is consistent with the results derived by the Horowitz and Hubeny method. Since in the conformal field theory the QNMs can reflect its approach to equilibrium, so our related results could be referential to studies of the AdS/CFT conjecture. The relationship between λ and the properties of the static R² BH might be helpful for the development of R² gravitational theory.

关键词: static R² AdS black hole, gravitational perturbation, quasi-normal modes

Abstract: In this paper, we study the gravitational quasi-normal modes (QNMs) for a static R² black hole (BH) in Anti-de Sitter (AdS) spacetime. The corresponding master equation of odd parity is derived and the QNMs are evaluated by the Horowitz and Hubeny method. Meanwhile the stability of such BH is also discussed through the temporal evolution of the perturbation field. Here we mainly consider the coefficient λ, which is related to the radius of AdS black hole, on the QNMs of the R² AdS BH. The results show that the Re(ω) and |Im(ω)| of the QNMs increase together as |λ| increases for a given angular momentum number l. That indicates with a larger value of |λ| the corresponding R² AdS BH returns to stable much more quickly. The dynamic evolution of the perturbation field is consistent with the results derived by the Horowitz and Hubeny method. Since in the conformal field theory the QNMs can reflect its approach to equilibrium, so our related results could be referential to studies of the AdS/CFT conjecture. The relationship between λ and the properties of the static R² BH might be helpful for the development of R² gravitational theory.

Key words: static R² AdS black hole, gravitational perturbation, quasi-normal modes

中图分类号: (Classical black holes)

04.70.Bw

04.62.+v (Quantum fields in curved spacetime) 04.70.-s (Physics of black holes)

马洪, 李瑾. Gravitational quasi-normal modes of static R² Anti-de Sitter black holes[J]. 中国物理B, 2017, 26(6): 60401-060401.

Hong Ma(马洪), Jin Li(李瑾). Gravitational quasi-normal modes of static R² Anti-de Sitter black holes[J]. Chin. Phys. B, 2017, 26(6): 60401-060401.

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Gravitational quasi-normal modes of static R² Anti-de Sitter black holes

Gravitational quasi-normal modes of static R² Anti-de Sitter black holes

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