Quasibound states of charged dilatonic black holes

Abstract

Investigation of quasibound states of black holes is significant for expected ultra light particles, as well as black holes through gravitational waves. We first investigate quasibound states of a massive scalar field for dilatonic charged black holes via numerical analysis. We study the complex eigen frequencies of the massive scalar field in a wide range of gravitational fine structure constant $\mu M$ in detail, and show the effects of charge. Further, we study the eigen frequencies of the massive field through analytical approach by matching the near horizon solution and far field solution, and find its spectra for excited states by iteration method. We demonstrate the numerical solution and analytical solution perfectly agree with each other in the region where charge of the black hole is large, both for real and imaginary parts of the eigen frequencies.

arXiv comment9 pages, 17 figures

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• Instability of the charged massive scalar field on the Kerr-Newman black hole spacetime
• On the origin of quasinormal modes in semi-open systems
• Trajectories of photons around a rotating black hole with unusual asymptotics
• On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole
• Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion
• Overdamped quasibound states inside a Schwarzschild black hole
• True gravitational atom: Spherical cloud of dilatonic black holes
• Charged massless scalar fields in a charged $C$-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves
• Decoherence of Dirac-particle quantumness for fermionic fields in a dilatonic black hole
• Dirac clouds around dilatonic black holes
• Linear stability of charged warm holes