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arXiv · 2107.12615

Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism

Chao Wang·Bin Wu·Zhen-Ming Xu·Wen-Li Yang
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Abstract

The connection between the shadow radius and the Ruppeiner geometry of a charged static spherically symmetric black hole is investigated. The normalized curvature scalar is adopted, and its close relation to the Van der Waals-like and Hawking-Page phase transition of Reissner-Nordstr\"{o}m AdS black hole is studied. The results show that the shadow radius is a useful tool to reveal the correct information of the phase structure and the underlying microstructure of the black hole, which opens a new window to investigate the strong gravity system from the observational point of view.

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Chao Wang, Bin Wu, Zhen-Ming Xu, Wen-Li Yang. 2021-07-27. Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism. https://doi.org/10.1016/j.nuclphysb.2022.115698

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