论文标题
分段近似有效势的渐近准模式频谱
Asymptotical quasinormal mode spectrum for piecewise approximate effective potential
论文作者
论文摘要
有人指出，由分段近似电势产生的黑洞准模式与与原始黑洞指标有关的黑洞截然不同。特别是，发现频谱沿真实轴线伸展，而不是平行于假想轴平行。在这项工作中，我们证明，如果有效潜力有单一的不连续性，那么无论它多么微不足道，准模式的渐近行为都将得到明显修改。除了显示数值证据外，我们提供了分析推导，以支持上述断言，即使不连续性远离了稳定性和/或步骤的大小的最大值较小，但任意较小。此外，我们讨论了本发现的潜在影响的天体物理意义。
It was pointed out that the black hole quasinormal modes resulting from a piecewise approximate potential are drastically distinct from those pertaining to the original black hole metric. In particular, instead of lining up parallel to the imaginary axis, the spectrum is found to stretch out along the real axis. In this work, we prove that if there is a single discontinuity in the effective potential, no matter how insignificant it is, the asymptotical behavior of the quasinormal modes will be appreciably modified. Besides showing numerical evidence, we give analytical derivations to support the above assertion even when the discontinuity is located significantly further away from the maximum of the potential and/or the size of the step is arbitrarily small. Moreover, we discuss the astrophysical significance of the potential implications in terms of the present findings.
