Geometrothermodynamics of the Kehagias-Sfetsos Black Hole

Understand

The application of information geometric ideas to statistical mechanics using a metric on the space of states, pioneered by Ruppeiner and Weinhold, has proved to be a useful alternative approach to characterizing phase transitions.

• Some puzzling anomalies become apparent, however, when these methods are applied to the study of black hole thermodynamics.
• A possible resolution was suggested by Quevedo et al.
• who emphasized the importance of Legendre invariance in thermodynamic metrics.