2020/12/23 by Yang Huang, Hongsheng Zhang · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.103.044062
published as Phys. Rev. D 103, 044062 (2021) · 9 pages, 17 figures
arxiv created 2020/12/23 · arxiv updated 2021/03/03
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 μM 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.