论文标题
带电的延音黑洞的准圆形状态
Quasibound states of charged dilatonic black holes
论文作者
论文摘要
黑洞的准圆形状态的研究对于预期的超光颗粒以及通过重力波的黑洞很重要。我们首先通过数值分析研究了巨大标量场的Quasibound状态。我们在详细的$μm$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $的情况下研究了大量标量场的复杂特征频率，并显示了电荷的效果。此外，我们通过与近地平线解决方案和远场解决方案相匹配，通过分析方法研究大规模场的特征频率，并通过迭代方法找到激发态的光谱。我们证明了数值解决方案和分析解决方案在黑洞电荷很大的区域中完全一致，无论是在本征频率的真实部分和虚构部分。
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.
