Characteristic interaction potential of black hole molecules from the microscopic interpretation of Ruppeiner geometry

2021/08/17 by Shao-Wen Wei, Yu-Xiao Liu, Wei, Shao-Wen +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Astrophysical Phenomena and Observations

paper · pdf · doi:10.48550/arxiv.2108.07655

Abstract

Ruppeiner geometry has been found to be a novel promising approach to uncover the microstructure of fluid systems and black holes. In this work, combining with the micro model of the Van der Waals fluid, we shall propose a first microscopic interpretation for the empirical observation of Ruppeiner geometry. Then employing the microscopic interpretation, we disclose the potential microstructure for the anti-de Sitter black hole systems. Of particular interest, we obtain the microscopic interaction potentials for the underlying black hole molecules. This significantly strengthens the study towards to the black hole nature from the viewpoint of the thermodynamics.

Citations

• The four laws of black hole mechanics
• Particle creation by black holes

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