Near-horizon quasinormal modes of charged scalar around a general spherically symmetric black hole

Abstract

We study the quasinormal modes (QNMs) of charged scalar in the static spherically symmetric black hole background near the event and cosmological horizon. Starting with numerical analysis of the QNMs of black hole in the dRGT massive gravity, the mathematical tool called the Asymptotic Iteration Method~(AIM) is used to calculate the quasinormal frequencies. The parameters such as the mass and charge of the black hole, the cosmological constant, the coefficient of the linear term from massive gravity $\gamma$, and the mass of the scalar are varied to study the behavior of the QNMs. We found the tower pattern of the near-horizon quasinormal frequencies from the numerical results by AIM where the real parts depend only on product of the charge of the black hole and the scalar field and the imaginary parts depend only on the surface gravity. To confirm the numerical finding, we analytically determine the exact QNMs of the charged scalar near the horizons of any static spherically symmetric black hole background in the simple universal forms; $\omega =\frac{qQ}{r_h}+i{\kappa }_{h}n$ and $\omega =\frac{qQ}{r_c}+i|{\kappa }_c|n$ where $n$ is a non-positive integer and ${\kappa }_{h,c}$ is the surface gravity, for the event and cosmological horizon respectively. Extending our analysis, we also compute the four towers of the near-horizon QNMs that can reach the far region. The four kinds of QNMs converge to certain asymptotic values with equally spacing imaginary parts and the real parts proportional to $qQ/r_{h,c}$. These modes do not match with the all-region~(WKB) modes of the real background since they are originated from the linearly approximated metric.

25 pages, 2 figures, 10 tables

References in corpus (6)

• Resummation of Massive Gravity
• Quasinormal modes and Strong Cosmic Censorship
• Thermodynamics of Black Holes in Massive Gravity
• Charged scalar field instability between the event and cosmological horizons
• Charged scalar perturbations on charged black holes in dRGT massive gravity
• Flat rotation curves in Chern-Simons modified gravity

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• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Thermodynamics of the Weyl Geometric Gravity Black Holes
• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Normal and Quasinormal Modes of Holographic Multiquark Star
• Superradiance and Quasinormal Modes of Massive Scalar Fields around Kerr Black Holes in Einstein-Maxwell-Dilaton-Axion Theory with Perfect Fluid Dark Matter