Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole

Figure 1

(a) Characteristic behaviour of the heat capacity as a function of 𝑆 and 𝜃. (b) Characteristic behaviour of the thermodynamic curvature scalar 𝑅 as a function of 𝑆 and 𝜃. Note that the singularities follow the same pattern in both functions, indicating the presence of phase transitions.

(a)

(b)