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

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

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.

Keywords: static R² AdS black hole gravitational perturbation quasi-normal modes

Received: 27 December 2016
Revised: 11 February 2017
Accepted manuscript online:

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

Fund: 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).

Corresponding Authors: Jin Li
E-mail: cqujinli1983@cqu.edu.cn

Cite this article:

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

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