We investigate the relations between the black hole shadow and charged AdS black hole critical behavior in the extended phase space. Using the thermo-shadow formalism built in Ref. 1, we reveal that the shadow radius can be considered as an efficient tool to study thermodynamical black hole systems. Based on such arguments, we build a thermal profile by varying the RN–AdS black hole temperature on the shadow silhouette. Among others, the Van der Waals-like phase transition takes place. This could open a new window on the thermal picture of black holes and the corresponding thermodynamics from the observational point of view.

中文翻译：

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使用阴影分析的带电 AdS 黑洞的热图像和相变

我们研究了扩展相空间中黑洞阴影与带电 AdS 黑洞临界行为之间的关系。使用参考文献中内置的热阴影形式。1，我们揭示了阴影半径可以被认为是研究热力学黑洞系统的有效工具。基于这些论点，我们通过改变阴影轮廓上的 RN-AdS 黑洞温度来构建热剖面。其中，发生了类似范德华的相变。从观测的角度来看，这可以打开一个关于黑洞热图像和相应热力学的新窗口。