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arXiv · 0706.3450

Ruppeiner Geometry of RN Black Holes: Flat or Curved?

Behrouz Mirza·Mohammad Zamani-Nasab
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Abstract

In some recent studies \cite{aman1, aman2, aman3}, Aman {\it et al.} used the Ruppeiner scalar as a measure of underlying interactions of Reissner-Nordström black holes, indicating that it is a non-interacting statistical system for which classical thermodynamics could be used at any scale. Here, we show that if we use the complete set of thermodynamic variables, a non-flat state space will be produced. Furthermore, the Ruppeiner curvature diverges at extremal limits, as it would for other types of black holes.

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Behrouz Mirza, Mohammad Zamani-Nasab. 2007-06-23. Ruppeiner Geometry of RN Black Holes: Flat or Curved?. https://doi.org/10.1088/1126-6708%2F2007%2F06%2F059

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