Quasinormal modes (QNMs) for Dirac perturbations off(R) black holes (BHs) are described in this paper, involving two types of f(R) solution: f(R) (Sehwarzschild) BHs and f(R) (Maxwell) BHs. With the f...Quasinormal modes (QNMs) for Dirac perturbations off(R) black holes (BHs) are described in this paper, involving two types of f(R) solution: f(R) (Sehwarzschild) BHs and f(R) (Maxwell) BHs. With the finite difference method, the stability of the f(R) black holes (BHs) is analysed and the threshold range off(R) (Schwarzschild) BHs and f(R) (Maxwell) BHs is defined respectively. The results show that due to the presence of the correction factor Ro, the damping rate of Dirac field decreases. Meanwhile, the influence of angular quantum number values [k] on the f(R) BHs is investigated. The results indicate that the QNMs oscillation becomes tenser and damping speed slowly decreases with ]k[ increasing. Furthermore, under the Dirac perturbation, the stability off(R) solutions can be reflected in the manner of Dirac QNMs. The relationships between the QNMs and the parameters (]k], charge Q and mass m) are discussed in massless, and massive cases, by contrast to the classical BHs.展开更多
基金Supported by FAPESP No.2012/08934-0National Natural Science Foundation of China under Grant Nos.11205254,11178018,11375279,11605015+1 种基金the Natural Science Foundation Project of CQ CSTC 2011BB0052the Fundamental Research Funds for the Central Universities 106112016CDJXY300002 and CDJRC10300003
文摘Quasinormal modes (QNMs) for Dirac perturbations off(R) black holes (BHs) are described in this paper, involving two types of f(R) solution: f(R) (Sehwarzschild) BHs and f(R) (Maxwell) BHs. With the finite difference method, the stability of the f(R) black holes (BHs) is analysed and the threshold range off(R) (Schwarzschild) BHs and f(R) (Maxwell) BHs is defined respectively. The results show that due to the presence of the correction factor Ro, the damping rate of Dirac field decreases. Meanwhile, the influence of angular quantum number values [k] on the f(R) BHs is investigated. The results indicate that the QNMs oscillation becomes tenser and damping speed slowly decreases with ]k[ increasing. Furthermore, under the Dirac perturbation, the stability off(R) solutions can be reflected in the manner of Dirac QNMs. The relationships between the QNMs and the parameters (]k], charge Q and mass m) are discussed in massless, and massive cases, by contrast to the classical BHs.