基于绝热不变性的黑洞谱
On black hole spectroscopy via adiabatic invariance
摘要：
本文将黑洞的绝热性和黑洞视界的振荡速度结合起来，得到了黑洞谱。这个速度是在隧道框架中获得的。特别是，我们声明，如果需要典型的不变性，绝热不变量应该是协变形式$I_{\textrm{adia}}=\oint p_idq_i$。使用它，史瓦西黑洞的视界面积被量子化，与坐标的选择无关，在史瓦西和潘勒维坐标中，$Δ\mathcal{A}=8πl_p^2$总是给出等间距的光谱。
英文摘要：
In this paper, we obtain the black hole spectroscopy by combining the black hole property of adiabaticity and the oscillating velocity of the black hole horizon. This velocity is obtained in the tunneling framework. In particular, we declare, if requiring canonical invariance, the adiabatic invariant quantity should be of the covariant form $I_{\textrm{adia}}=\oint p_idq_i$. Using it, the horizon area of a Schwarzschild black hole is quantized independent of the choice of coordinates, with an equally spaced spectroscopy always given by $Δ\mathcal{A}=8πl_p^2$ in the Schwarzschild and Painlevé coordinates.
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