We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Scalar Perturbations of Black Holes in the f (R) = R − 2 α R Model.
- Authors
Li, Ping; Jiang, Rui; Lv, Jian; Zhai, Xianghua
- Abstract
In this paper, we study the perturbations of the charged static spherically symmetric black holes in the f (R) = R − 2 α R model by a scalar field. We analyze the quasinormal modes spectrum, superradiant modes, and superradiant instability of the black holes. The frequency of the quasinormal modes is calculated in the frequency domain by the third-order WKB method, and in the time domain by the finite difference method. The results by the two methods are consistent and show that the black hole stabilizes quicker for larger α satisfying the horizon condition. We then analyze the superradiant modes when the massive charged scalar field is scattered by the black hole. The frequency of the superradiant wave satisfies ω ∈ (μ 2 , ω c) , where μ is the mass of the scalar field, and ω c is the critical frequency of the superradiance. The amplification factor is also calculated by numerical method. Furthermore, the superradiant instability of the black hole is studied analytically, and the results show that there is no superradiant instability for such a system.
- Subjects
BLACK holes; QUANTUM perturbations; FINITE difference method; NUMERICAL analysis; SUPERRADIANCE
- Publication
Universe (2218-1997), 2022, Vol 8, Issue 1, p47
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe8010047