Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe

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In this article, we investigate the thermodynamic stability of the FRW universe for two examples, Tsallis entropy and loop quantum gravity, by considering non-extensive statistical mechanics.

• The heat capacity, free energy and pressure of the universe are obtained.
• For the Tsallis entropy model, we obtained the constraint for $\beta$, namely, $1/2 < \beta < 2$.
• The free energy of a thermal equilibrium universe must be less than zero.