Sultana-Dyer黑洞的近视界隐对称性和熵：含时情形
Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case
摘要：
非极值稳态黑洞具有“{ \it hidden}”共形对称性，在这种情况下生成元构成$SL(2,\mathbb{R})$群.在这里，我明确地表明，Sultana-Dyer黑洞解也具有类似的近视界共形对称性。这是第一个与时间有关的情况下，也表现出这样的功能。利用相应的生成元，在维拉索罗代数和Cardy公式的背景下，得到了视界熵的表达式.这一结果与先前的研究结果相符。目前的分析是很重要的，因为在现实中的度量是不稳定的，因此，我们必须研究这些现实的情况，以获得更多的信息，我们的宇宙。我希望分析将阐明时间依赖情况的某些特征。
英文摘要：
The non-extremal stationary black holes do have "{\it hidden}" conformal symmetry in which case the generators form $SL(2,\mathbb{R})$ group. Here, I explicitly show that the Sultana-Dyer black hole solution also possesses the similar near horizon conformal symmetry. This is the first example of time dependent case which also exhibits such feature. Moreover, using the corresponding generators I find the expression of the horizon entropy in the context of Virasoro algebra and Cardy formula. The result matches with the earlier findings. The present analysis is important since in reality the metric is not stationary and hence one must look into these realistic situations to obtain more information about our universe. I expect that the analysis will illuminate certain features of the time dependent situations.
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