在带挠率的BTZ黑洞视界附近几何中受外部磁场影响的标量场的准束缚态
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
AI总结：
本文研究了带挠率BTZ黑洞近视界几何中受外部均匀磁场影响的带电标量场，通过解析求解Klein-Gordon方程获得复谱，发现磁场强度影响模式振荡频率和衰减时间，并证实背景几何的稳定性。
摘要：
我们考虑了在带挠率的Banados-Teitelboim-Zanelli黑洞视界附近几何中，受外部均匀磁场影响的带电标量场，并通过求解相应的Klein-Gordon方程的解析解，获得了所考虑系统的准稳态。我们得到了该方程的解函数，并由此得到了复谱。我们观察到，模式的实振荡频率及其衰减时间除了取决于几何背景的参数外，还取决于外部磁场的强度。我们发现，随着外部磁场强度的增加，实振荡模式的振幅减小，模式的衰减时间变长。结果还表明，几何背景在这种扰动场下是稳定的。
英文摘要：
We consider a charged scalar field under the effect of an external uniform magnetic field in the near-horizon geometry of the Banados-Teitelboim-Zanelli black hole with torsion and obtain quasi-stationary states of the system under consideration through obtaining analytical solution of the corresponding Klein-Gordon equation. We obtain the solution function of the equation and accordingly we arrive at a complex spectra. We observe that the real oscillation frequency of the modes and their decay time depends on the strength of the external magnetic field besides the parameters of the geometric background. We see that the amplitude of the real oscillation modes decreases and the decay time of the modes becomes longer as the strength of the external magnetic field increases. The results also indicate that the geometric background is stable under such a perturbation field.
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